2.SERIES CIRCUITS 1.What is the current flow through R1, R2, and R3? a) 1A, 1A, 1A b) 1A, 2A, 3A c) 3A, 3A, 3A d) 3A, 2A, 1A Answer: Option A Explanation: V = IR V = I(R1 + R2 + R3) I = V/(R1 + R2 + R3) = 9/(3 + 3 + 3) = 9/9 = 1 Amp. 2.One of the most common applications of a potentiometer is as an adjustable voltage divider, also known as a) voltage control b) current control c) volume control d) divider control Answer: Option C Explanation: We know that potentiometer can be used for controlling both voltage and in turn current which is nothing but adjusting the resistance value. In audio power amplifiers, the speaker is connected to the load and this load resistance must be a variable one so that we can the volume of the output signal or sound. 3.If the resistance total in a series circuit doubles, current will: a) be the same b) be doubled c) reduce source voltage d) be halved Answer: Option D Explanation: We know Ohm's law V=IR. If R is doubled then. V = I(2R). then, I= V/2R. I=(1/2)(V/R). Hence Current Halved. 4.Power is defined as: a) the rate at which work is done b) Work c) the conversion of energy d) Joules Answer: Option A Explanation: ITS THE RATE OF DOING WORK..P=VI 5.What is the dc source voltage? a) 78 V b) 39 V c) 13 V d) 0 V Answer: Option A Explanation: Ohm's Law: V = IR Given I = 0.013A; R = R1+R2+R3 = (1+2+3) Kohm = 6 Kohm = 6000 ohm. Therefore, V = 0.013 * 6000 = 78 volts 6.With a total resistance of 3300 ohms and a 45 V source, if R3 is 1200 ohms, what will be its voltage drop? a) 16.36 V b) 32.72 V c) 10.90 V d) 15.00 V Answer: Option A Explanation: Total resistance= 3300 ohms Total voltage=45V R3= 1200 ohms V3= total voltage*R3/total resistance V3=45*1200ohms/3300ohms V3=16.36V A is the correct answer 7.Calculate the voltage at point B in the given circuit. a) +10.48 V b) +0.94 V c) +2.6 V d) +3 V Answer: Option A Explanation: I=(12-9)/150= 0.02mA let 9V as GND then Potential at B= (47+27)K * 0.02mA =1.48V so pot. at B if GND is 0V =9V+1.48V =10.48V 8.In the given circuit, what type of failure will cause the voltage at point B to equal the voltage at point C? a) R1 shorts b) R2 shorts c) R1 opens d) R2 opens Answer: Option B Explanation: Here R2 will be short due to it voltage drop will be zero so voltage at point B equal to point C. If R2 will open then voltage between B and C is equal to between A and D. 9. What is the voltage at points B to D in the given circuit? a) +19.2 V b) +8.8 V c) +28 V d) –19.2 V Answer: Option A Explanation: Explanation: As per the voltage Divider rule: V= (R1 + R2) (Total Voltage/(R1+R2+R3)) V= (3.3K + 1.5K) (28/(2.2K + 3.2K + 1.5K)) V=19.2 V 10. Calculate the voltage at point C in the given circuit. a) +1.48 V b) +0.94 V c) +11.6 V d) +3 V Answer: Option C Explanation: I=(12-9)/150=0.02mA voltage at B =9V + 0.2mA*(47+27+56)K ohm= 9V+2.6V= 11.6V 11.An 8-ohm resistor is in series with a lamp. The circuit current is 1 A. With 20 V applied, what voltage is being allowed for the lamp? a) 4 V b) 8 V c) 12 V d) 20 V Answer: Option C Explanation: V(Lamp)+V(Resistor)=V(Total) (Total Potential=Sum of all potential drops) V(Resistor)=IxR I=1A R=8ohms V(Total)=20V V(Resistor)=1x8=8V V(Lamp)=V(Total)-V(Lamp) V(Lamp) = 20V-8V = 12V 12.What is wrong, if anything, with this circuit? a) R1 is open b) R1 is shorted. c) R2 is open d) R2 is shorted. Answer: Option B Explanation: Consider a practical condition in your life. When you entering into a Cinema hall which way you prefer first? 1)Exit in which all crowd are coming out in opposite to you. 2)Entrance no crowd is coming opposite to you. obviously 2nd one right. Same here in the case of current it goes in the way which offers very less resistance. Ammeter's internal resistance is very low so it acts as bypass circuit path for current so R1 will be short circuited. If instead of Ammeter there is Rheostat set for a high value more current will be flowing through R1. 13.Kirchhoff’s voltage law states that: a) the sum of the voltage drops in a series circuit is equal to the total applied voltage b) the algebraic sum of the resistances is equal to the sum of the voltages c) the algebraic sum of the individual currents around a closed loop is zero d) the voltages developed across each element in a series circuit are identical Answer: Option A Explanation: In any closed loop in a network, the algebraic sum of the voltage drops (i.e. products of current and resistance) taken around the loop is equal to the resultant electromotive force acting in that loop' 14.If series current doubles, then: a) resistance is halved b) voltage is doubled c) voltage is reduced d) resistance is doubled Answer: Option A Explanation: R = V/I. If I is doubled, then the equation becomes, R = V/2(I) thus, 1/2 is the equivalent of the resistance. 15.What are the minimum and maximum output voltages? a) 0 V, 4 V b) 0 V, 8 V c) 0 V, 12 V d) 0 V, 16 V Answer: Option D Explanation: Apply voltage divider rule i.e. vout = v1*(r2/r1+r2). = 24*(10k/15k) = 16v. 16.A short circuit has: a) too much resistance b) no conductance c) no resistance d) low current Answer: Option C Explanation: Current always flows in low resistance path, in short circuit current is maximum. So resistance is minimum(0). 17.If three resistors of 1.5 kilohms, 470 ohms, and 3300 ohms are in series with a 25-volt source, what is the total circuit current? a) 210mA b) 5.2mA c) 4.7mA d) .007mA Answer: Option C Explanation: Here V=25V Total resistance=1500+470+3300=5270 ohms Total Current = V/I = 25/5270 = 4.7 mA 18.What is the total power in the circuit? a) 170 mW b) 1.7 W c) 17W d) 170W Answer: Option A Explanation: Total resistance(R) = 13.2K. current I = V/R = 48/13.2K = 3.636mA. Power = I^2xR. P = (1.322x10^-5).(13.2K). = 174mW = 170mW. 19.A string of resistors in a series circuit will: a) divide the source voltage in proportion to their values b) reduce the power to zero c) cause the current to divide d) increase the source voltage in proportion to the values Answer: Option A Explanation: Series circuit is voltage divider Parallel circuit is the current divider. 20. While putting three 1.5 V batteries into a flashlight, you put one in backwards. The flashlight will be ______________. a) brighter than normal b) dimmer than normal c) off d) the same Answer: Option B Explanation: Consider the correct combination is (+- +- +-) Since they did not mention which battery we are putting backwards, We can assume three possible combinations i.e. 1 (+- -+ +-) here 1st two batteries nullify each other and acts as short circuit so light will work only by the 3rd battery 2 (-+ +- +-) here also 1st two batteries nullify each other and acts as short circuit so light will work only by the 3rd battery 3 (+- +- -+) here 2nd and 3rd batteries nullify each other and acts as short circuit so light will work only by the 1st battery So in all the three combinations the light will work only by one battery so the light will be dimmer than normal 21.If a voltage is connected between contacts 2 and 3 in the given circuit, which resistors will carry current? a) All twelve resistors will carry current. b) Only R6 and R11 will carry current. c) Only R2, R4, R6, and R11 will carry current d) Only R3, R6, R9, and R12 will carry current. Answer: Option C Explanation: If voltage is applied to contact 2 which is connected to R6 from R6 it is connected to R2 (see bottom board "/" connection) , R2 is connected to R4 (see top board) , from R4 to R11 (see bottom board). 22.Given a series circuit containing resistors of different values, which statement is not true? a) The current through each resistor is the same. b) The sum of the voltage drops across each resistive element will be equal. c) The total resistance is the sum of the value of the resistors. d) The voltage drop across each resistor is the same Answer: Option D Explanation: In that series circuit, voltage drop of each resistor will be same if the resistor values are equal. 23.With 20 V applied, an 8-ohm resistor is in series with a lamp. When the lamp is removed, what voltage will be read across the lamp socket? a) 0 V b) 8 V c) 12 V d) 20 V Answer: Option D Explanation: Case 1: When lamp is in series with 8ohm resistor Case 2: The lamp is removed from circuit and asking the drop across lamp hoder. Here when lamp is remove it is like circuit is open circuited at lamp place. So the drop across open circuit will be equal to source voltage or we can consider it also as drop across 8ohm resistor Vr=(20/8)x8 = 20V Drop = 20V 24.When 50 V is applied to four series resistors, 100 µA flows. If R1 = 12 k , R2 = 47 k , and R3 = 57 k , what is the value of R4? a) 38.4 k b) 3.84 k c) 384 k d) 3.84 M Answer: Option C Explanation: Rtotal = R1+R2+R3+R4. = 12+47+57+R4. = 116+R4. V = IR. R = V/I. = 50/100*10^6. = 500K. 500K = 116K+R4. R4 = 384K. 25.In a series circuit, the voltage measured across a short will be: a) source voltage b) infinite voltage c) zero volts d) the normal voltage drop Answer: Option C Explanation: Both points that we measure at have the same voltage so the voltage measured equal zero because the difference in voltage is zero. 26. Which is a true statement about the circuit in the given circuit? 1. The batteries are series-aiding and the total source voltage equals 21 V. 2. The batteries are series-opposing and the total source voltage equals 3 V. 3. The batteries are series-aiding and the total source voltage equals 3 V. 4. The batteries are series-opposing and the total source voltage equals 21 V. Answer: Option B 27.When two persons push each other face to face who will win? The one who pushes with more force or in other words one who have more energy than other. The resultant motion of two persons(current) will be in higher force direction. A series circuit current: remains the same through each component is the same as the individual resistances is subtracted by each component varies through each component Answer: Option A Explanation: Current in Series circuit is like water coming from a simple tap. Current in Parallel circuit is like water coming from a shower tap. 28. a) +19.2 V b) +8.8 V c) +28 V d) –19.2 V Answer: Option C Explanation: When R2 is opened there is no current flow in the circuit. So terminal voltage = Source Voltage 29.If 5 V and 16 V power supplies are connected in series-opposing, what is the total voltage? a) 11 V b) 16 V c) 21 V d) 80 V Answer: Option A Explanation: The batteries are series opposing than the total voltage is 11v. 30.What is the total resistance? a) 0 k ; there is no current b) 2 k ; the average c) 3 k ; the largest d) 6 k ; the sum Answer: Option D Explanation: rt=r1+r2+r3 d is right answer. 31.Which equation determines individual resistor voltage drop? a) V x R b) I2 x R c) V x I d) I x R Answer: Option D Explanation: V = I*R 32.How will an open resistor affect a series circuit? a) Current will flow around the open resistor. b) The open resistor will drop 0 V. c) Total resistance will decrease. d) No current will flow in the circuit. Answer: Option D Explanation: Consider there are three bridges in your way to home. Assume your travelling in car. The cars are like current and bridges like resistors. When one bridge is cut down how will your car reach home. 33.The voltage drop across a series resistor is proportional to what other value? a) total resistance b) its own resistance c) wattage rating d) the amount of time the circuit is on Answer: Option B Explanation: In series circuit current is same in all resistor so current is constant. V= IR. VOLTAGE IS PROPORTIONAL TO TOTAL RESISTANCE. 34.Resistance in a series circuit will: a) control the voltage b) double the current c) halve the power d) oppose current Answer: Option D 35.When a battery is connected to a series circuit, it delivers current based only upon: a) primary/secondary difference b) total resistance c) the polarity connections d) average resistance Answer: Option B Explanation: Total current in a series circuit = Total voltage/Total resistance. Hence so answer is resistance and another thing is current is purely depends on resistance. 36.What determines the total resistance in a series circuit? a) the largest resistor b) the sum of the resistors c) the largest resistor minus the smaller d) the smallest resistor Answer: Option B 37.If two resistors have the same voltage drop in a series circuit, it means: a) they are connected in parallel b) they are of unequal value c) the voltage has doubled d) they are of equal value Answer: Option D Explanation: Voltage drop = IxR In series circuit I is same in all resistor. ie IxR1=IxR2 only if R1=R2 38.If series resistors dissipate 16 mW, 107 mW, 146 mW, and 243 mW, what is the total power consumed by the circuit? a) 128 mW b) 269 mW c) 512 mW d) 1024 mW Answer: Option C Explanation: Total Power in series or parallel P1+ p2+ p3+ p4+..... So total disspation = 16m+107m+146m+243m=512mw. 39.A series circuit schematic is recognized because all the components are connected: a) diagonally across the page b) in a uniform vertical manner c) end to end in a "string" d) horizontally across the page Answer: Option C 40.With a 900 V source, voltage is divided across 3 series resistors of 300 V, 280 V, and: a) 30 V b) 270 V c) 320 V d) 900 V Answer: Option C Explanation: Source voltage = 900V Current remain same for the whole circuit ; voltage differ So, 300+280+x=900 x=900-580=320V 41. How much current flows in the circuit in the given circuit? a) 20 A b) 60 A c) 80 A d) 140 A Answer: Option A Explanation: Using kirchaff's law,In the circuit the current remains same. So, take it as I, 9-(47k+27k+56k+20k)*I-12=0 9-12-(150k)*I=0; 150K*I=3; I=3/150K; I(current) = 20 micro amps. True/False 1.The total resistance of a series circuit is equal to the average of all the resistance values. True False Answer: Option B Explanation: Yes, the total resistance of a resistor is equal to the sum of all the resistance values but not average of all resistance values. 2.The total resistance of a series circuit always depends on the highest value resistor in that circuit. True False Answer: Option B Explanation: It depends upon sum of all the resistance. 3. If four 9 V batteries are connected series-aiding, the total voltage is 36 V. True False Answer: Option A 4.The total resistance is 35 True False Answer: Option A Explanation: . Since the resistors are in series so, 5 ohm + 10 ohm + 15 ohm + 5ohm = 35 ohm. 5.These components are in series. True False Answer: Option A 6.In a series circuit, larger resistances drop larger voltages. True False Answer: Option A 7.To find the total resistance in series, add the individual resistances. True False Answer: Option A 8.An open in a series circuit will cause maximum voltage across the power supply terminals. True False Answer: Option A 9.A short in a series circuit causes the total circuit current to decrease. True False Answer: Option B Explanation: Short in the series circuit the current flow itself wnt be there because of short so the total circuit current wont decrease. So false. 10.Voltage sources are added when they are series-opposing. True False Answer: Option B Explanation: Voltage sources are subtracted when they are series-opposing. 11.The total power dissipated in a series resistive circuit exceeds the sum of the resistor powers. True False Answer: Option B Explanation: Total power dissipated in a series resistive circuit is equal to the sum of the resistor powers. 12.A series circuit provides only one path for current between two points True False Answer: Option A 13.Using a voltage divider the voltage across R1 is 10 V, R2 is 15 V, and R3 is 30 V. True False Answer: Option B 14.If 7.3 k , 1.8 k , and 4.9 k total resistance is 14 k . True resistors are wired in series, the False Answer: Option A 15.The sum of the voltage drops across series resistors must equal the total voltage applied. True False Answer: Option A Explanation: Since in series voltages are equal. Therefore, Input voltage = output voltage drops. 16.The sum of all the voltage drops in a series circuit equals the source voltage. True False Answer: Option A 17.To find the total current in series, add the individual currents. True False Answer: Option B 18.Ground is the reference point from which voltages are measured in an electronic circuit. True False Answer: Option A 19.The voltage across R1 is 10 volts. True False Answer: Option B 20.In a series circuit, the current flowing out of a resistor won't always equal the current flowing into that resistor. True False Answer: Option B 21.As additional resistors are added to a series circuit, the total circuit resistance increases. True False Answer: Option A Fill in the blanks 1.The ______ determines whether connected resistors are in series, parallel, or series-parallel? a) current flow b) power source c) voltage flow d) wattage source Answer: Option A 2.If a 3.9 k , a 7.5 k , and a 5.6 k resistor are connected in series with a 34 V source, the voltage dropped across the 7.5 k resistor equals _____. a) 34 V b) 15 V c) 7.8 V d) 11.2 V Answer: Option B Explanation: TOTAL R = 17 OHM V = 34 V THEN I = V/R = 34 / 17 = 2 AMP NOW I = 2 AMP & R= 7.5 OHM V = I*R = 2*7.5 = 15 v 3. In the given circuit, R1 equals _____. a) 100 k b) 200 k c) 300 k d) More information is needed to find R1. Answer: Option C 4.The total circuit power in the given circuit equals _____. a) 64 µW b) .4 µW c) .0 W d) 16 × 10–12 W Answer: Option A Explanation: R(eq) = (1.2+1.8+1)M= 4M I = V/R(eq) = 16/4 = 4microAmp P= I^2*R(eq) = (4*10^(-6))^2*(4*10^6) = 64microW 5. In the given circuit, the voltage dropped across R3 equals ___. a) 1.5 V b) 3 V c) 6 V d) More information is needed to find the voltage dropped across R3. Answer: Option A Explanation: V(Drop) = I*R3. I = V/(R+R2+R3). R3 = V(Drop)/I. 6.If a 220 , a 100 , and a 180 resistor are connected in series across a 12 V source, the circuit current equals ___. a) 41.67 A b) 120 mA c) 500 A d) 24 mA Answer: Option D Explanation: Total resistance=220+100+180=500 voltage=12v we know that V=IR there fore I=V/R I=12/500 I=24mA 7.If a 47 and a 68 resistance is ___. a) 3,196 b) less than 47 c) less than 68 d) 115 Answer: Option D resistor are connected in series, the total 8. In the given circuit, R2 equals _____ a) 100 k b) 200 k c) 300 k d) More information is needed to find R2. Answer: Option B Explanation: Given voltage at R1 = 4.5v. Voltage at R3 = i*R3 = (15*10^-6)*(100K) = 1.5v Voltage at R2 = (9)-(4.5)-(1.5) = 3v. R2 = v/i = 3/(15*10^-6) = 200K. 9.The polarity on the side of the resistor where current enters is ______. The polarity on the side of the resistor where current exits is ___________. a) positive, positive b) negative, negative c) negative, positive d) positive, negative Answer: Option C 10.A voltage divider is always a _____ a) series-parallel circuit b) series circuit c) parallel circuit d) bridge circuit Answer: Option B 11.If five equal resistors are connected in series with a 20 V source, and a current of 400 µA is measured, each resistor equals ___. a) 10 k b) 50 k c) 125 k d) 20 k Answer: Option A Explanation: R = 5R. V= 20V. I = 400*10^-6A. SO WE KNOW THAT V = IR. SO, 20 = 400*10^-6*5R. So we will get it as R=10000. That is, R = 10kohms. 12.If four 90 resistors are connected in series across an 18 V source, the current equals ___. a) 50 mA b) 0.2 A c) 5 A d) 20 A Answer: Option A Explanation: By Ohm's law, V = IR. I = V/R Given, Four 90 ohm resisters in series. So, R = ( R1 + R2 + R3 + R4) = 4 x 90 = 360 ohms. Therefore, I = 18/360 = 0.05 A [or] 50 milli amps. 13.–1.2 V, +15 V, and –6 V batteries are connected in series. The magnitude of total voltage is _________. a) 7.8 V b) 10.2 V c) 22.2 V d) 1.3 V Answer: Option A 14. In the given circuit, _____ are in series. R1 and R3 R3 and R5 R5 and R7 None of the above Answer: Option B Explanation: in bottom one r3 connected to r9 then r9 connected to r12 again r12 connected to r5. So the answer is r3 and r5. 3.Parallel Circuits 1.When parallel resistors are of three different values, which has the greatest power loss? a) The smallest resistance b) The largest resistance c) They have the same power loss. d) Voltage and resistance values are needed. Answer: Option A Explanation: The resistors are in parallel & in parallel voltage is same but in parallel current divides, current follows the low resistive path, so high pwr loss occurs in small resistance. p = i^2*r. 2.What is the product-over-sum result of 150 and 6800? a) 150 b) 146.7 c) 0.006 d) 6800 Answer: Option B Explanation: Formula of: product-over-sum r=(r1*r2)/(r1+r2) r=(150*6800)/(150+6800) r=146.7ohm 3.The voltage across any branch of a parallel circuit: a) varies as the total current varies b) is inversely proportional to total circuit resistance c) is equally applied to all branch conductances d) is dropped in proportion to each branch resistance Answer: Option C Explanation: Voltage across parallel circuit are always same The voltage across series branch is addition of all Voltages & in parallel circuit is same, i.e. applied voltage. from V=IR (1) V=V1+V2=V3..... in series Ckt (2) I=I1+I2+I3......in parallel Ckt 4.What is the total power loss if 2 k resistors have an IT of 3 mA? a) 6 W b) 36 W c) 6 mW d) 36 mW Answer: Option C and 1 k parallel-connected Explanation: Parallel Connection Req = R1*R2/R1+R2. Req = 2000*1000/2000+1000 = (2000/3000) ohms i.e (2/3)K ohms. P = I^2 * Req. = (3*10^-3)^2 * (2/3) * 10^3 = 9 * 10^-6 * (2/3) * 10^3 = 6 m Watts 5.What happens to total resistance in a circuit with parallel resistors if one of them opens? a) It increases b) It halves. c) It remains the same d) It decreases Answer: Option A Explanation: In parallel resistance the effective resistance value will be less than the smallest valued resistance. For eg, if a 2 ohm and 3 ohm resistance are in parallel effective resistance will be less than 2 ohm. So when one is opened the effective resistance increases. 6.Components that connect in parallel form: a) branches b) open circuits c) short circuits d) a voltage divider Answer: Option A Explanation: In the parallel circuit current will pass one by one branch of the connected components, the Voltage will be same 7.A parallel circuit differs from a series circuit in that a parallel circuit has a) no path for current flow b) fewer paths for current flow c) one path for current flow d) more than one path for current flow Answer: Option D In serial circuit Voltage is Different but current are same, But in parallel circuit Voltage are same But current are different so in parallel circuit current has many path for current flow 8. In the given circuit, Channel 1 of the stereo amplifier outputs 12 V to the speakers. How much total current is the amplifier providing to the speakers? a) 0 A b) 1.5 A c) 3 A d) More information is needed to find the total current provided to the speakers Answer: Option C Explanation: I=V/R. For first speaker I=12/8=1.5A. For second speaker I=12/8=1.5A. Hence total current=1.5+1.5=3A. 9.If two parallel-connected resistors dissipate 6 watts and 10 watts of power, then what is the total power loss? a) 3.75 watts b) 4 watts c) 16 watts d) 60 watts Answer: Option C Explanation: Total Power in Series and Parallel resistive circuit will be addition of individual powers: Parallel: P = V^2/(R1||R2) = V^2/((R1*R2)/(R1+R2)). = V^2/R1+V^2/R2 = P1+P2. Series: P = I^2*(R1+R2) = I^2*R1+I^2*R2 = P1+P2. Power is total of each component's individual power, irrespective of how components are connected. (i.e. Series or parallel). So 6+10=16W is correct answer. Remember: Power is always additive. 10.Which component is shorted? a) R1 b) R2 c) R3 d) R4 Answer: Option D Explanation: G is galvanometer and it measure current. 2.4 A is in the next G so no current through the R1. Similarly, no current through R2, R3 and finally whole current through R4. So R4 is short circuited and others are open circuit. 11. What would these meter readings indicate about the circuit in the given circuit? Meter Readings: I = 7.6 mA, V = 12 V a) R1 is open. b) R2 is open. c) The fuse is open. d) The circuit is operating normally Answer: Option B Explanation: Case1 :When R1 is open, then the effective resistance R = R2||R3 i.e. 5K||2K = 10/7 K then current I = V/R = (12*7)/10K = 8.4 mA(Which is not correct ans i.e 7.6 mA) Case2 : When R2 is open, then the effective resistance R = R1||R3 i.e. 7.5K||2K = 30/19 K then current I = V/R = (12*19)/30K = 7.6 mA(Which is d correct ans i.e 7.6 mA) Case3: When the fuse is open, then it is not possible to obtain voltage of 12 V So the correct answer is option [b]. or CONSIDER THE FOLLOWING: In Parallel circuit, the current will differ and the voltage will remain same across all the branches. In other words, the voltage across R1, R2 and R3 will be 12V each. I1= 12/7.5K => 1.6mA I2= 12/5K => 2.4mA I3= 12/2K => 6.0mA In above, the total current 7.6mA will take place correctly when only I1 and I3 present *(since, I1 + I3 = 7.6mA). Hence, R2 must be discarded/ remove from the circuit. In other words, R2 is open. 12. In the given circuit, Channel 1 of the stereo amplifier outputs 12 V to the speakers. How much total power is the amplifier delivering to the speakers? a) 0 W b) 18 W c) 36 W d) More information is needed to find the total power delivered to the speakers. Answer: Option C Explanation: p1=24*24/8=18 p2=24*24/8=18 total power=p1+p2=36 13.If a 1 k and a 2 k resistor are parallel-connected across a 12 V supply, how much current is received by the 2 k resistor? a) 4 mA b) 6 mA c) 8 mA d) 12 mA Answer: Option B Explanation: Since 1KOhm||2KOhm therefore Req=2/3 KOhm. now using Ohm's law I=V/R we get I=18A. So current in 2KOhm = (1*18)/(1+2)=6mA. 14. What does VS equal in the given circuit? a) 0 V b) 9 V c) 27 V d) More information is needed to find VS. Answer: Option B Explanation: voltage across the parallel resistors are equal.So votage Vs equals to the voltage across R3 resistor.. 15.The current through R1 will be: a) 128 mA b) 88 mA c) 48 mA d) 2.2 mA Answer: Option C Explanation: Voltage across parallel resistors are same. So voltage across R1 is 48v, We Know i=v/r. =48mA. 16.The voltage read by the voltmeter will be: a) 24 V b) 12 V c) 6 V d) 4 V Answer: Option B Explanation: Voltage across parallel resistor will be same. 17.Which component is of the wrong value? a) R1 b) R2 c) R3 d) R4 Answer: Option A Explanation: Given total power=9.408 Power of r1=48/1*1000=.48mW r2=48/2*1000=.24mW r3=48/3*1000=.16mW r4=48/4*1000=.12mW Total power = 1W But the total power given=9.408W. ie, one resistor is wrong value. 0.012A is current through R4 I R4= 48/4*1000 = .012A So R4 is correct value 0.053 is the current total through r2, r3 and r4 as branch current total. We know that current through R4=.012 I (R2+R3) = V/(R2*R3/R2+R3) =48/(2*3/2+3)1000 =48/(6/5)1000 =48/1200 =.04 Then I(R2+R3+R4)= .04+.012 = .052 So that R2,R3,R4 are correct. i.e. R1 is wrong 18. What does I3 equal in the given circuit? a) 5 mA b) 45mA c) 50mA d) 100mA Answer: Option A Explanation: i=v/r i3= 9/1.8*10^3 i3= 5*10^-3 i3 = 5ma 19.What is the total power of the circuit? 1. 2.2 W 2. 4.2 W 3. 6.2 W 4. 8.2 W Answer: Option B Explanation: Equivalent resistance of the circuit R = R1||R2||R3 R = 1K||2K||3K = 6/11 K Power P = V2/R = (48*18*11)/6K = 4.224 mA 20.What are the individual values of two parallel resistors whose RT is 8 ohms, when one has double the resistance of the other? a) 2.7 ohms and 5.3 ohms b) 8 ohms and 16 ohms c) 10 ohms and 20 ohms d) 12 ohms and 24 ohms Answer: Option D Explanation: Let R1 be x, so R2 is 2x 8=(x*2x)/(x+2x) So x is 12 Hence R1 is 12 and R2 is 24 21.When a parallel 5 k resistor and a 25 k supply, what is the total power loss? a) 2.4 mW b) 3.3 mW c) 24 mW d) 33 mW Answer: Option C Explanation: Since resistors are parallel so RT will be 1/RT = 1/R1 + 1/R2 1/RT = 1/5 + 1/25 = 6/25 RT = 25/6 or 4.16K resistor have a 10 V I = V/R = 10/(25/6) = 2.4 mA So P = VI = (10)(2.4)= 24 mW 22.In a parallel resistive circuit: a) there is more than one current path between two points b) the voltage applied divides between the branches c) the total branch power exceeds the source power d) the total circuit conductance is less than the smallest branch conductance Answer: Option A Explanation: In parallel circuit voltage is same, so there must be changes occur in current only i.e more than one current. 23.What is the total resistance? a) 7 k b) 1 k c) 706 d) 353 Answer: Option D Explanation: 1/rt=(1/1k)+(1/2k)+(1/3k)+(1/1k)=0.001+0.0005+0.0003+0.001=0.0028 r=353 ohm 24.Kirchhoff's current law for parallel circuits states that the: a) sum of all branch voltages equals zero b) total circuit resistance is less than the smallest branch resistor c) sum of currents into a junction is equal to the difference of all the branch currents d) sum of the total currents flowing out of a junction equals the sum of the total currents flowing into that junction Answer: Option D Explanation: KCL denotes that Sum of incoming current is equal to sum of outgoing current. In a parallel circuit all branch voltages are equal. 25.Which component is open? a) R1 b) R2 c) R3 d) R4 Answer: Option C Explanation: It=I1=0.021A I3=0.003A IR1=12/1K=0.012A IR2=12/2K=0.006A IR3=12/3K=0.004A IR4=12/4K=0.003A here we can see that IR4=I3 (0.003A) ie no current is flowing through R3 Also It=IR1+R2+IR3+IR4=0.012+0.006+0.004+0.003=0.025 Which is not correct. By open circuiting R3 we get It=0.012+0.006+0.003=0.021 which is correct. So R3 is open in the circuit 26. What would these meter readings indicate about the circuit in the given circuit? Meter Readings: I = 0 mA, V = 0 V a) R1 is open b) R2 is open c) The fuse is open d) The circuit is operating normally Answer: Option C Explanation: If fuse would b closed then there would have some current, voltage as current and voltage is given zero it is obvious that fuse is open. 27.If 550 mA of current leaves a node that had 250 mA entering from one branch, how much current would enter from the other? a) 250 mA b) 300 mA c) 550 mA d) 800 mA Answer: Option B Explanation: I1-I2=550-250=300 28.What would these meter readings indicate about the circuit in the given circuit? Meter Readings: I = 10 mA, V = 12 V a) R1 is open. b) R2 is open. c) The fuse is open. d) The circuit is operating normally Answer: Option D Explanation: Now we should know total current. it=vt/rt 1/rt=(0.00013)+(0.0002)+(0.0005)=0.00083=1204.8196 ohm it=9.9 ma The circuit is operating normally 29. What does RT equal in the given circuit? a) 90 b) 180 c) 200 d) 1.8K Answer: Option A Explanation: r1=9/50ma=180 ohm r2=9/45ma=200 ohm r3=1800 ohm 1/rt=(1/180)+(1/200)+(1/1800)=0.00555+0.005+0.00055=0.0111=90 ohm 30.What procedure should be followed when troubleshooting with an ammeter or voltmeter? a) Short the leads and adjust b) Check the meter’s external power supply c) Start with the highest scale and adjust down to a lower scale. d) Start with the lowest scale and adjust up to a higher scale. Answer: Option C Explanation: An accurate circuit have to work properly with a sudden (considered as sudden because it is the initial input) high power, as a non accurate system can also give expectable output with low power. 31.A parallel circuit is also used as a divider for: a) conductance b) voltage c) power d) current Answer: Option D Explanation: Voltage remains same and current gets divided into the branches in parallel circuit. 32.What is RT for a 12 k a) 1.5 k b) 2 k c) 6.3 k d) 19 k Answer: Option A ,a4k , and a 3 k resistor in parallel? Explanation: In case of parallel circuits resistance can be calculated using 1/RT=1/R1+1/R2+1/R3 from this, we get 1/RT=1/12+1/4+1/3=2/3 RT=3/2k =1.5k 33.What is the total resistance of four 1 k resistors? a) 200 ohms b) 250 ohms c) 400 ohms d) 4 kilo ohms Answer: Option B parallel-connected Explanation: The total resistance(1/R) = 1/1+1/1+1/1+1/1 1/R = 4/1 -: R = 1/4 K Ohms = 0.250 K Ohms R = 250 Ohms 34.Which are the better test devices used to isolate a suspected open component within a parallel circuit? a) a voltmeter or an ohmmeter b) neither an ammeter nor a voltmeter c) a wattmeter or a voltmeter d) an ammeter or an ohmmeter Answer: Option D Explanation: Logic:. If short circuit:current is max. If open circuit:current is min (almost zero). So. Voltmeter & wattmeter cannot give any value when open circuited. The devices used are ammeter and ohmmeter. 35. What does P2 equal in the given circuit? a) 45 mW b) 405 mW c) 450 mW d) 900 mW Answer: Option B Explanation: POWER=VOLTAGE*CURRENT V1=V2=V3; P2=V3*I2; P2=45*10^-3*9 =0.405 =405mW 36. What does R1 equal in the given circuit? a) 90 b) 180 c) 200 d) 1.8 k Answer: Option B Explanation: r=v/i=9/50*10^-3 (9*1000)/50 9000/50 900/5 180*5=900 37.What is the total resistance? a) 1.045 k b) 1.545 k c) 2.045 k d) 2.545 k Answer: Option B Explanation: Power as seen on wattmeter = 1.491W Voltage =48V As we know P=V^2/R By this relation we get R=1.545 Kohm 38.What is RT for fifteen 2 M a) 133 k b) 300 k c) 750 k d) 30 M Answer: Option A resistors all connected in parallel? Explanation: We know that. 1/RT = 1/R1+1/R2+1/R3.......1/Rn. Then RT for fifteen 2 Mohm 1/RT = 1/R1+1/R2+1/R3.......1/R15 Here R1=R2=R3=......R15 = 2. Therefore 1/RT = 1/2+1/2+1/2+....1/2(for fifteen time). Take common 1/2. Now 1/RT = 1/2(1+1+1+1+1....1(for fifteen time). 1/RT = 1/2(15) = 15/2. Therefore RT = 2/15 = 0.133Mohm. Now convert Mohm into kohm. So Ans. 133 kohm. 39.Which is considered to be the common reference for a parallel circuit? a) Voltage b) Current c) Power d) Resistance Answer: Option A Explanation: Voltmeter is always connected in parallel. True/False 1.The total resistance in a parallel circuit is always less than the least resistor. True False Answer: Option A Explanation: The total resistance in a parallel circuit is always less than the least resistance. For example, we have two resistances in series as 2 ohm and 3 ohm. Then the total resistance of the parallel combination would be (2*3) / (2+3) = (6/5) = 1.2. 2.If a branch opens in a parallel circuit, the current in the remaining parallel paths will change True False Answer: Option A Explanation: Current will change because voltage in the parallel branch remains same. 3.If a branch opens in a parallel circuit, the total circuit resistance decreases. True False Answer: Option B Explanation: Open circuit means I=0 & r=Infinity; Rt = r1*r2%r1+r2 then finally Rt becomes infinity. 4.The largest branch resistance in a parallel circuit carries the largest branch current. True False Answer: Option B Explanation: Because current inversely proportional to resistance I=V/R 5.If two equal resistors are connected in parallel, they will carry identical currents. True False Answer: Option A Explanation: In parallel circuit Vt = v1=v2=v3. So, if r1=r2 then i1=i2=v/r1. 6.Kirchhoff's current law states that the current flowing into a point of a circuit is equal to the sum of the voltages in the output branches. True False Answer: Option B Explanation: KCL : States that sum of current flowing into a point of a circuit is equal to the sum of the current in the output branches.So the above statement is false. 7.The voltages across all components in parallel are equal. True False Answer: Option A 8.The total resistance in a parallel circuit is always greater than the lowest-value branch resistor True False Answer: Option B 9.A parallel circuit is sometimes called a current divider. True False Answer: Option A 11.The voltage in a parallel circuit is the same across each branch of the circuit True False Answer: Option A 12.The total power dissipated is 4.8 watts True False Answer: Option B Explanation: Current through 1000 Ohms = 48/1000 = 0.048. Current through 3000 Ohms = 48/3000 = 0.016. Current through 5000 Ohms = 48/5000 = 0.0096. Current through 8000 Ohms = 48/8000 = 0.0796. Total Current is 0.0796 mA Therefore power dissipated is 0.0796 mA*48V = 3.8208. 13.If one branch shorts out in a parallel circuit, the other branches are not affected True False Answer: Option B Explanation: If the one branch is shorted then the current will flow through low resistance path. I. E all current flow through shorted branch and will effect the other branch. 14.If one of the resistors opens in a parallel circuit branch, the total resistance of the circuit will decrease. True False Answer: Option B 15.The total current entering a junction may be different from the total current leaving the junction True False Answer: Option B 16.The total resistance is 480 . True False Answer: Option A 17.The total power in a parallel circuit equals the sum of the individual branch powers True False Answer: Option A Explanation: Since voltage is equally divided among the parallel branches, each element in the branch absorbs power. Ex house hold networks 18.Current divider predicts that the most current will flow in the parallel path of the most resistance True False Answer: Option B 19.The total resistance of like value resistors in parallel is equal to the value of the resistors multiplied by the number of resistors used. True False Answer: Option B Explanation: If n resistors each of value are are connected in parellel then equivalant resistance ic R/n 20.Parallel circuits have only one path for current True False Answer: Option B Explanation: Parallel current divided at branches, so we cant say that parallel circuits have only one path Fill in the blanks 1. The total current in the given circuit equals _____ a) 86 mA b) 170 mA c) 42 mA d) 128 mA Answer: Option B Explanation: According to kcl law incoming current = outgoing current hence I total = I1+I2; so the ans is 170mA 2.As additional resistors are connected to a parallel circuit, the total resistance will ___ a) increase b) increase by the value of the resistor being connected c) decrease d) remain unchanged Answer: Option C Explanation: It will decrease only because whenever we added resistors in parallel resistance value decreases. 3.An ammeter is connected in ______ with the branch resistor to measure branch current, and in ______ with the voltage supply to measure total parallel circuit current a) parallel, series b) series, parallel c) series, series d) parallel, parallel Answer: Option C 4. The total current in the given circuit is ___ a) 2.5 mA b) 0.6 mA c) 1.5 mA d) 0.4 mA Answer: Option A Explanation: In the above 12v is same for each branch of parallel circuit I(total)=I1+I2+I3 So I1=12/20=0.6 mA I2=12/8=1.5mA I3=12/30=0.4mA Total current I(total)=0.6+1.5+0.4=2.5 mA 5. If the voltmeter indicates 12 V in the given circuit, the voltage across R2 equals ___. a) 12 V b) VS minus 12 V c) 0 V d) More information is needed to find the voltage across R2 Answer: Option A Explanation: Since the 2 resistors are in parallel volage across them is the same= 12volts. 6.An ammeter is connected in ______ with the branch resistor to measure branch current, and in ______ with the voltage supply to measure total parallel circuit current. parallel, series series, parallel series, series parallel, parallel Answer: Option C 7.Circuit analysis should reveal that the largest resistance in a parallel circuit has the ______ a) least current b) most current c) least voltage d) most voltage Answer: Option A 8.An open resistor in parallel will cause the total ___ to increase a) voltage b) current c) resistance d) power Answer: Option C Explanation: here resistor is open, so total resistance would increase. Current cannot flow in an open ckt, so current would b same. 9. The total power in the given circuit is ___. 4.8 mW a) 4.8 mW b) 18 mW c) 7.2 mW d) 30 mW Answer: Option D Explanation: p = vi. v = i*r therefore p=(v^2)/r. Total resistance = (1/20k)+(1/8k)+(1/30k) = 4.8k ohm. p = (12*12)/(4.8K) = 30mW 10. The total resistance in the given circuit is _____ greater than 8 k 58 k 4.8 k greater than 30 k Answer: Option C Explanation: 20k||8k||30k|| resister Req=(160*30)k/(240+600+160)k Req=4.8k ohms 11. If R1 opens in the given circuit, the total current equals ___ a) 86 mA b) 170 mA c) 42 mA d) 128 mA Answer: Option D Explanation: According to kcl law I=I1+I2;. When open i1=0; hence total current is 128mA 12. If R2 opens in the given circuit, the voltage across R1 will ___ a) Increase b) Decrease c) equal 0 V d) remain unchanged Answer: Option D Explanation: The resistors are connected in parallel. So in the parallel connection voltage remains unchanged 13.A parallel resistor's value that changes with age will cause a corresponding change in ______ a) branch current b) branch voltage c) both branch current and branch voltage d) power supply voltage Answer: Option A 14.A circuit is parallel between two points if ___ between those two points a) the voltage divides b) more than one current path exists c) all resistors are equal d) there is only one current path Answer: Option B 4.SERIES-PARALLEL CIRCUITS 1.What theorem replaces a complex network with an equivalent circuit containing a source voltage and a series resistance? a) Multinetwork b) Norton c) Thevenin d) Superposition Answer: Option C Explanation: Thevenin theorem states that any complex n/w can be replaced by is equivalent circuit containing a source voltage and a series resistance 2.What is the power dissipated by R2, R4, and R6? a) P2 = 417 mW, b) P2 = 407 mW, c) P2 = 397 mW, d) P2 = 387 mW, Answer: Option A P4 P4 P4 P4 = = = = 193 183 173 163 mW, mW, mW, mW, P6 P6 P6 P6 = = = = 166 156 146 136 mW mW mW mW Explanation: By mesh analysis inspection method: 11 I1 - 8 I2 = 111 --> EQN 1. -8 I1 + 17 I2 - 7 I3= 0 --> EQN 2. -7 I2 + 14 I3 = 0 --> EQN 3. BY RESOLVING THESE EQUATIONS WE GET, I1 = 17.72 mA I2 = 10.50 mA I3 = 5.25 mA Current through R2 is I1-I2 = 7.22 mA. And by P = (I^2)R formula we can calculate power across the resistor R2 P = 7.22*7.22*10^-6*8*10^3 = 417 mW 3. If the load in the given circuit is 120 k voltage? a) 15.79 V b) 16 V c) 4.21 V d) 19.67 V Answer: Option B , what is the loaded output Explanation: Step 1:Find parallel combination of 8K & 120K = 7.5K Step 2:Now 2k &7.5k are in series so total resistance=9.5k Step 3:Find ct I=20v/9.5k= 2.105mA, Step 4:find drop across 2K is 2.105m*2K=4.2V Step 5:Finally Vl=20-4.2=15.8v. 4.In a series–parallel circuit, individual component power dissipations are calculated using: a) individual component parameters b) a percent of the voltage division ratio squared c) total current squared multiplied by the resistor values d) a percent of the total power depending on resistor ratios Answer: Option A It will depend upon component parameter because if we take two resistance values are 20 ohms and 100k.power dissipation= v*i v=i*r then p=i*i*r so p is proportional to component parameter In 20ohms resistor power dissipation less than 100k 5.The current flowing through an unloaded voltage divider is called the: a) resistor current b) load current c) bleeder current d) voltage current Answer: Option C Explanation: In electronics, a bleeder resistor is a resistor connected in parallel with the output of a high-voltage power supply circuit for the purpose of discharging the electric charge stored in the power supply's filter capacitors when the equipment is turned off, for safety reasons 6.When a Wheatstone bridge is in a balanced condition, the center voltmeter in the bridge will read: a) twice the source voltage b) the same as the source voltage c) zero volts d) half the source voltage Answer: Option C Explanation: In the balanced condition difference will be zero and that's why the voltmeter reading zero 7.When a load is connected to a voltage divider, the total resistance of the circuit will a) decrease b) double c) increase d) remain the same Answer: Option A Explanation: Voltage divider is when resistance is connected in series.. And when load is connected to existing resistance in series then total resistance will be increased 8.With 21 V applied, if R1 = 5 ohms, R2 = 35 ohms, and R3 = 14 ohms, what is the current of R2 if R1 is series connected with parallel circuit R2 and R3? a) 200 mA b) 800 mA c) 600 mA d) 400 mA Answer: Option D Explanation: 1st calculate the total Resistance. Rt = R1+R2||R3. = 5+(35*14)/35+14 = 15. According to voltage divider: Voltage across R1 is V1 = v*R1/Rt. V1=21*5/15=7. Then voltage across the parallel circuit is 21-7=14; Then current across I2 = 14/R2 = 14/35 = 0.4 A or 400 mA. 9.What is the total resistance of a circuit when R1 (7 k ) is in series with a parallel combination of R2 (20 k ), R3 (36 k ), and R4 (45 k )? a) 4 k b) 17 k c) 41 k d) 108 k Answer: Option B Explanation: RT = R1 + ( 1/R2 + 1/R3 + 1/R4) = 7+(1/20 + 1/36 + 1/45) =7+(10) =17 Kohms 10. If the load in the given circuit is 80 k current? a) 196 A , what is the bleeder b) 1.96 mA c) 2 mA d) 2.16 mA Answer: Option B Explanation: Find the total resistance which will be = 9.2kohm Total current is =2.15mV Bleeder current is current through resistor R2 which is= 1.96mA Use the formula current through r2= rL/(r2+rL) (80/88)*2.15 = 1.95454545 Here bleeder current is the current on R2 in the absence of load resistor RL. It means bleeder current is the unloaded current on the specific resistor where load is to be connected. 11. What is the total resistance of the given circuit? a) 92 b) 288 c) 17.7 d) 128 Answer: Option A Explanation: 80||60||80=24 and so tot re=24+68=92 12.What are the branch currents I2 and I3? a) I2 = 4 mA, I3 = 2 mA b) I2 = 4.5 mA, I3 = 2.5 mA c) I2 = 2.5 mA, I3 = 1.5 mA d) I2 = 5.5 mA, I3 = 3.5 mA Answer: Option C Total resistance of the circuit is: 4K+(12.5K||7.5K) = 4K+4.6875k) = 8.6875K. Total current = 35/8.6875K = 4.028776 mA. I2 = 12.5K*4.028776 mA/(20K) = 2.517985 mA. I3 = 7.5K*4.028776 mA/(20K) = 1.510791 mA. Hence none of the options above are correct. 13.If the load in the given circuit is open, what is the unloaded output voltage? a) 0 V b) 4 V c) 16 V d) 20 V Answer: Option C Explanation: Find the current in the circuit: Add R1 & R2 which are in series. R1+R2 = 10 kohm. Current, I = 2 m amps. Since vout is taken, V = IR1. V = 2m*2k. V = 4V. Therefore Vout = 20-4 = 16V. 14.What is the total resistance? a) 2.2 k b) 3.2 k c) 4.2 k d) 5.2 k Answer: Option B Explanation: r11+r12; ans||r6; ans+r5; ans||r4; ans||r3; ans+r2; ans||r1=3.19k 15. How much voltage is dropped across R3 in the given circuit? a) 46 V b) 34 V c) 23 V d) 12 V Answer: Option D Explanation: Parallel resistance along R2,R3,R4=24 Total resistance= R1+(R2||R3||R4) =92 Total current= (v/i)= 46/92 =0.5A Voltage drop across R3= 24*0.5= 12v 16.When placed into a circuit, how are electronic components usually connected? a) positive terminal to positive terminal b) in parallel c) as a combination of series and parallel d) in series Answer: Option C 17. If the load in the given circuit is 12 k voltage? a) 5.88 V b) 14.12 V c) 16 V d) 17.14 V Answer: Option B Explanation: Total resistance=2+((12*8)/(12+8))=6.8 Total current 20/6.8 =2.94mA Current through rl=(8/(12+8))*2.94=14.12 , what is the loaded output 19.What is the voltage to the load? a) 11.4 V b) 12.4 V c) 13.4 V d) 15.4 V Answer: Option D Explanation: R2 is parallel to RL & in series with R1=7.155 total current is 35/7.155=4.895 current division rule in between r2& RL4 4.895*7.8/7.8+5.3=2.9 now voltage drop in RL is 2.9*5.3=15.4v 20.The first goal to accomplish in analyzing a complex series-parallel circuit is to a) equate all parallel components b) equate all series components c) solve for all the voltage drops d) solve for the total current and resistance Answer: Option D 21. Which circuit fault do the meter readings in the given figure indicate? a) The 1 k resistor is open b) The 4.7 k resistor is open c) The 2.2 k resistor is open d) The 3.3 k resistor is open Answer: Option B Explanation: 1) If 1 k opened no current will flow. 2) If 4.7 k opened 1st reading is correct. Now apply voltage divider rule..i.e. 3) 3/(3.3+1)*10 = 7.67 v which is also correct. So option B is correct. 22. How much current is flowing through R1 in the given circuit? a) 0.3 A b) 0.15A c) 0.5A d) 0.68 A Answer: Option C Explanation: (R2//R3//R4)are in parallel=24, R1&(R2//R3//R4)are in series(68+24=92), So I=(V/R)(46/92=0.5A) Current through R1 also 0.5A because R1&(R2//R3//R4)are in series ( in the series circuit current is same) 23.If R1 is in series with parallel connected to R2 and R3, what happens to total current if R2 opens? a) increases b) decreases c) remains the same d) cannot tell Explanation: If resistors are in parallel and one is open the total resistance Will increase hence current will decrease. 24.The first goal(s) to accomplish in analyzing a complex series– parallel circuit is to: a) equate all parallel components b) equate all series components c) solve for all the voltage drops d) solve for the total current and resistance Answer: Option D 25.If a series–parallel circuit has all 30-ohm resistors, what is the total resistance when R1 is in series with a parallel circuit consisting of R2 and R3? a) 10 ohms b) 20 ohms c) 45 ohms d) 90 ohms Answer: Option C Explanation: R= R1+ R2*R3/R2+R3 R= 30+30*30/30+30 R= 30 ohm + 15 ohm R=45 ohm 26.Components or combinations of components with common currents, in a series–parallel circuit, are in: a) parallel with each other b) series with each other c) either series or parallel with each other d) none of the above Answer: Option C 27.What determines if resistor connections are in series, parallel, or series–parallel? a) the voltage source b) the power source c) Resistance d) current flow Answer: Option D 28.What is the total resistance? a) 800 b) 1.2 k c) 1.6 k d) 1.8 k Answer: Option D Explanation: R=2k+1k+1/2k+1/1k+4k+1/3k =1.8 {d} 29.If R1 is in series with a parallel combination of R2, R3, and R4, when the resistance value of R2 increases, the voltage across R3 will a) increase b) decrease c) remain the same d) Cannot tell Answer: Option A Explanation: Voltage should be same means that the voltage is same across r2 r3 and r4 but this constant value may increase or decrease by varying the value of resistance i.e. v=IR. 30.A Wheatstone bridge can be used to determine an unknown a) Current b) resistance c) power d) Voltage Answer: Option B 31. Which circuit fault do the meter readings in the given figure indicate? a) The 1 k resistor is shorted. b) The 4.7 k resistor is shorted c) The 2.2 k resistor is shorted d) The 3.3 k resistor is shorted Answer: Option D Explanation: If 3.3k is shorted then all current will flow through it (as current takes path with minimum resistance). Hence no current flow through 2.2k resistor and no voltage drop across it. 32.In a series–parallel circuit consisting of R1 and R2 in series and connected in parallel with R3, if R1 opens, then R2's voltage will: a) Increase b) decrease c) remain the same d) cannot tell Answer: Option B Explanation: If we take r1=2, r2=3 & r3=4 Then, r1+r2 = 5 //With r3 find value total resistance. RT = 2.22. Image current flow is 1 amp. Then voltage is V = ir = 1*2.22 = 2.22 v. If r1 is open, then find voltage r2/r3 = 1.714. Current is 1 amp. So V = IR =1.714*1 = 1.741 v. Voltage decrease B is correct. 33. In the given circuit, what is RUNK equal to if RV must be adjusted to 1,232 in order to balance the bridge? a) 220 b) 6,899 c) 1,232 d) More information is needed in order to find RUNK Answer: Option A Explanation: In order to balance the bridge. 560/(560+100) = 1232/(1232+R). So R = 220 ohm 34.With 6 V applied, what is the voltage across R2 of a parallel combination of R2 (1 k ), R3 (2 k ), and R4 (1 k ) in series with R1, whose value is 2 k ? a) 1 V b) 3 V c) 5 V d) 6 V Answer: Option A Explanation: Rtotal=2.57ohm Itotal=v/r=6/2.57=2.33A by voltage divider rule voltage across R2=6*1/2+1+2+1=1V. 35.What is the power dissipated by R1, R2, and R3? a) P1 = 0.13 W, b) P1 = 0.26 W, c) P1 = 0.52 W, d) P1 = 1.04 W, Answer: Option B P2 P2 P2 P2 = = = = 0.26 0.52 0.92 1.84 W, W, W, W, P3 P3 P3 P3 = = = = 0.12 0.23 0.46 0.92 W W W W Explanation: Find out total resistace i.e. 11/3kohm Find out current i.e. 59/(11/3)mA= 16.09mA Now by formula i2R find out power dissipated True/False 1. In the given circuit, the Thevenin voltage equals 6 V True False Answer: Option A Explanation: Current flowing in loop 1 is, -200I-600I-400I+12 = 0. This implies, I=0.01A Vth= 0.01A * 600 Ohms = 6V. Hence the correct option is [A] 2.The voltage across R3 is 20 volts True False Answer: Option B We get current in mesh 3 & 2 are 11.11 & 16.66 amps respectively. So difference we get as 5.55 & vol is 4*5.55 which is not 20 so false 3.The voltage across R1 is 175 volts True False Answer: Option A Because voltage in parallel remains same as that of input 4. In the given circuit, the Thevenin resistance equals 800 True False Answer: Option B . Explanation: When we short 12V we get (400+600) ohm resistance then 600 parallel with 600 gives 300 ohm finally we get 300+800 ohm i.e. 1100 ohm 5.The voltmeter will read 18 volts True False Answer: Option A Explanation: Lets say point between R8 and R10 be A and point between R7 and R9 be B. Now, R8, R10 in series so Rt1 = 2+3 = 5 ohm. And R7, R9 in series so Rt2 = 1+4 = 5 ohm. Rt=(Rt1Rt2)/(Rt1+Rt2) = 5/2 ohm. Total current = V/Rt = (90*2)/5 = 36 amp. Since Rt1 and Rt2 are equal therefore equal current will flow through each branch = 36/2 = 18 amp. Voltage drop across R8 = 18*2 = 36v. Potential at point A = 90-36 = 54v. Voltage drop across R7 = 18*1 = 18v. Potential at point B = 90-18 = 72v. Potential diff. between A and B gives voltmeter reading = 72-54 = 18v 6.Bleeder current is the total current left after the total divider current is subtracted from the total current into the circuit True False Answer: Option B 7.When analyzing series–parallel circuit currents, you should start with the current in the branch farthest from the source True False Answer: Option B 8.The power dissipated by R4 is 211 mW True False Answer: Option A Explination Total Resistance = 1.8k ohm. Than,I=185/1.8. Then, P = I^2*R. 211 mW. 9.The total resistance in the circuit is 1.6 k True False Answer: Option A 10.The current through R1 is 17 mA. True False Answer: Option A . 11.If the output voltage of a certain loaded voltage divider is 12 V, the output voltage might decrease when the load is removed. True False Answer: Option B 12.If the Wheatstone bridge is balanced in the given circuit, the voltage between points A and B (VAB) equals the source voltage (VS) True False Answer: Option B 13.The current through R6 is 8.5 mA True False Answer: Option B 14.Observed voltages not being shared identify components in parallel in a series–parallel circuit True False Answer: Option B 15.R2 is open True False Answer: Option B 16.The total power is 10 watts True False Answer: Option B 17. The total resistance in the given circuit can be found using the formula: RT = R1 + R2 || R3 || R4. True False Answer: Option A 18.When a load resistance is connected to the output of a voltage divider circuit, the source current increases True False Answer: Option A 19.Opens and shorts are typical problems that occur in electric circuits True False Answer: Option A 20.A Wheatstone bridge may be used to determine the value of an unknown resistance True False Answer: Option A 21.The voltage out when a 10 k load is connected is 5.7 volts True False Answer: Option A 22.When resistors burn out, they usually short True False Answer: Option B 23.Attaching a 6 k load to a voltage divider will cause a smaller decrease in the output voltage than will attaching a 5 k load True False Answer: Option A 24.A loaded voltage divider is a common application of a seriesparallel circuit True False Answer: Option A Fill in the blanks 1.The loading effect of a voltmeter can be ignored if ____ a) the measured voltage is very high b) the measured voltage is very low c) the meter's resistance is at least 10 times greater than the resistance across which it is connected d) the meter's resistance is at least 10 times less than the resistance across which it is connected Answer: Option C 2.A Thevenin equivalent circuit contains _____. a) a voltage source in series with a resistance b) a current source in series with a resistance c) resistors in a series-parallel configuration d) many voltage sources Answer: Option A 3. In the given circuit, the current flowing through R3 equals ______ a) 10 mA b) 21.11 mA c) 90 mA d) 100 mA Answer: Option A 4.Series components in a series–parallel circuit may be in series with other _______________ components, or with other _______________ components a) individual, combinations of b) series, parallel c) parallel, series d) shunt, parallel Answer: Option A 5.If four 10 k resistors are in series with a single 20 k resistor and one of the parallel resistors shorts, the voltage across the other parallel resistors ________ a) Increases b) decreases c) remains the same d) drops to zero Answer: Option B 6. In the given circuit, the voltage dropped across R1 equals _____ a) 1 V b) 9 V c) 10 V d) 19 V Answer: Option B 7.___ is often used to analyze multiple-source circuits a) Thevenin's theorem b) Superposition c) Kirchhoff's law d) Ohm's law Answer: Option B 8. If R3 opens in the given circuit, the total resistance (RT) between points A and B equals ____. a) 900 b) 100 c) 110 d) infinite resistance Answer: Option C 9.If a Wheatstone bridge is balanced, its output voltage is ____ a) the same as its input voltage b) very high c) dependent on the unknown resistor value d) equal to 0 V Answer: Option D 10.When a load is connected to a voltage divider, the total resistance of the circuit will ________ a) increase b) decrease c) remain the same d) double Answer: Option B 11. In the given circuit, the total resistance (RT) between points A and B equals _____. a) 10 b) 100 c) 900 d) 1010 Answer: Option B Explanation: r2 and r3 are parallel. So r2*r3/r2+r3 = 90 ohm. Then r1 and new resistance will be series. So 10 ohm + 90 ohm = 100 ohm. 12. In the given circuit, the voltage at point A equals ______ a) –10 V b) +1 V c) +9 V d) +10 V Answer: Option D 13. If the voltage between points A and B equals 9 V in the given circuit, then VR3 equals ______. a) 0.9 V b) 8.1 V c) 9 V d) More information is needed to find VR3 Answer: Option B Explanation: Total resistance is 90(parallel)+10(both are in series) = 100. From this total current is 9/100 = 0.09. Voltage drop across 10 ohm is 10*0.09 = 0.9. Voltage after 10 ohm is 9-0.9 = 8.1v