CH 215 EXPERIMENT # 1 Ohm's Law Purpose: To study the relationship between electrical current, voltage, and resistance, known as Ohm's Law. Introduction: See Technical Physics, 3rd Ed., Ch 21.2 Materials: - dc circuit board - D dry-cell batteries (1.5 V) 3 - switch - 3 different ½ watt resistors - dc multi-range voltmeter - dc multi-range milliammeter - alligator clips (3 straight & 2 right angle) - black and red insulated conductors with banana jacks 2 each Schematic: 1 __ + 1 2 3 4 a c b 9 2 + A 7 __ 3 5 & 8 black conductors 8 5 __ V dc supply switch resistor dc voltmeter 6 & 9 red conductors 6 7 + dc milliammeter 4 Procedure: 1. Construct the circuit as illustrated in the schematic (circuit diagram). 2. Connect the voltmeter in parallel across the resistor. (Zero the voltmeter before use). 3. Connect the milliammeter in series to complete the circuit between the resistor and point "a", so that all three batteries are included in the circuit. NOTE: Set or connect the meters so that when the switch is closed the meter needle will not deflect off scale, otherwise the meter may be damaged. A safe practice is to initially set the meter on its highest scale and then change the setting to more sensitive scales to obtain the highest scale deflection without going off scale. If you are in doubt, check with your instructor before closing the switch. ALSO NOTE: Make sure the polarities of the meters are as shown by the + & - signs on the circuit diagram. Follow the convention for conductor colours, i.e., black is for electron flow into a component (black is live) and red is for electron flow out of a component (red is the return conductor). If a meter is connected backwards, the needle will deflect off scale below zero ! 4. While holding the switch closed, read and record V (volts) and I (milliamps). 1 5. Move one end of conductor # 9 from postion "a" to position "b", so that only 2 batteries are now included in the circuit, and repeat Step 4. 6. Move one end of conductor # 9 from postion "b" to position "c", so that only 1 battery is now included in the circuit, and repeat Step 4. 7. Repeat Steps 4 to 6 for the other 2 resistors, each time recording corresponding pairs of values for V and I . Record all values in a table. V 8. For each pair of values of Vand I, calculate R in ohms (i.e., ratio I ) and record it in your table. Note: Convert I from milliamps to amps before calculating R. 9. Obtain a colour code for resistors from your instructor and determine (and record in your report) the manufacturer's stated resistance value for each resistor. Calculate and report the difference between the manufacturer's resistance value and your calculated average resistance for each of the 3 resistors. Assume the colour code value is correct. 10. On the same sheet of graph paper, plot graphs of V versus I for each resistor (You should obtain 3 separate lines-one for each resistor). Plot I on the horizontal axis and label each line. 11. Calculate the slope of each line (V/I) which is the resistance of the resistor. Questions: 1. State in words the exact meaning of Ohm's Law (refer to the equation for Ohm's Law). 2. Did your resistors exhibit "ohmic resistance"? Explain why or why not. 3. How do voltage and current vary with respect to each other for a given resistance? 4. Calculate the power (in watts) dissipated (used) by each resistor at the 3 different voltages. (9 calculations in all). Use the formulas: P = V I. Report these values for power in your table along side values of V, I, and R. Please Note: Refer to course outline and follow, as closely as possible, the format described for lab reports. Reminders.... as per the course outline: - Late reports will be docked 2 marks per day. - You must attend and complete a lab in order to submit a lab report. - On the first page of your report, include along with your own name, the name(s) of your lab partner(s). - However, each student must submit his or her own lab report. 2 CH 215 EXPERIMENT # 2 Series & Parallel Circuits Purpose: To study the relationship between electrical current, voltage, resistance, and power in series and parallel circuits. Introduction: See Technical Physics, 3rd Ed., Ch 22.1 - dc circuit board - D dry-cell battery (1.5 V) 3 - switch - 3 different ½ watt resistors - dc multi-range voltmeter - dc multi-range milliammeter - alligator clips (4 straight & 6 right angle) - black and red insulated conductors with banana jacks 2 each - 7 straight spring conductors for joining circuit board posts Part A: Schematic for a Series Circuit Materials: + __ Vs _ + + A R1 __ V1 R3 R2 + __ V2 _ + V3__ + Procedure: 1. Construct the circuit as illustrated in the series circuit schematic. 2. Connect the voltmeter in parallel across each resistor and across the battery and read the voltage drop in each case. Be certain to close the switch while reading the voltage drop across the battery. 3. Connect the milliammeter in series to complete the circuit and read the current. NOTE: Set or connect the meters so that when the switch is closed the meter needle will not deflect off scale, otherwise the meter may be damaged. A safe practice is to initially set the meter on its highest scale and then change the setting to more sensitive scales to obtain the highest scale deflection without going off scale. If you are in doubt, check with your instructor before closing the switch. ALSO NOTE: Make sure the polarities of the meters are as shown by the + & - signs on the circuit diagram. Follow the convention for conductor colours, i.e., black is for electron flow into a component (black is live) and red is for electron flow out of a component (red is the return conductor). If a meter is connected backwards, the needle will deflect off scale below zero ! 3 4. Using the Ohm's Law formula and your meter readings, calculate R1, R2, R3, and RS. Also calculate Rs using the formula: RS = R1 + R2 + R3. Report the % difference between the 2 values of Rs calculated. 5. Using the resistor colour codes, determine the manufacturer's resistance value of each resistor and, assuming these values to be correct, calculate the % error of each of your calculated resistor values. 6. Using the power formula: P = VI, calculate the power dissipated (in watts) by each resistor and the sum of these 3 values (i.e., the total power loss across the circuit). Also calculate the total power loss across the circuit using : P = VsIs. How do these compare? Part B: Schematic for a Parallel Circuit + __ Vp _ + _ + __ V1 _ + + Ap A1 R1 R2 A2 R3 A3 __ V3 + 1. Measure the voltage drop and current across R1, R2, R3, and across the battery (whole circuit). Be sure the switch is closed when reading the voltage drop across the battery. 2. Using the Ohm's Law formula and your meter readings, calculate R1, R2, R3, and RP. 3. Also calculate RP using the formula: 1 1 1 1 . Compare the 2 values for RP. Rp R1 R2 R3 4. Using the resistor colour codes, determine the manufacturer's resistance value of each resistor and, assuming these values to be correct, calculate the % error of each of your calculated resistor values. 5. Using the power formula: P = VI, calculate the power dissipated (in watts) by each resistor and the sum of these 3 values (i.e., the total power loss across the circuit). Also calculate the total power loss across the circuit using : P = VpIp. How do these compare? Questions: 1. Write a formula for power loss in series & parallel circuits in terms of P1, P2, & P3 2. Discuss the sources of error in your experiment & in which way they affect results. 4 CH 215 EXPERIMENT # 3 WHEATSTONE BRIDGE Purpose: To construct a Wheatstone bridge circuit and use it to determine the resistance of unknown resistors. To compare the calculated resistances against values obtained using an industrial Wheatstone bridge. Introduction: See Technical Physics, 3rd Ed., Ch 22.4 and course notes. Materials: - dc circuit board - D dry-cell battery (1.5 V) - switch & galvanometer - 24 , 51 , & 200 resistors (knowns) - meter stick & tape - 7.5 , 20, & 100 resistors (unknowns) - alligator clips (6 straight & 2 right angle) - black and red insulated conductors with banana jacks 3 each Schematic for a Wheatstone bridge circuit __ G Rx A + R3 B L1 L2 200 _ + Procedure: 1. Cut a 1 meter length of resistance wire and tape it to a non-conducting (wooden) meter stick as described by your instructor. 2. Construct the circuit as illustrated in the Wheatstone bridge circuit schematic. 3. Note that the 200 resistor is connected in series with the battery to reduce the amount of current which will flow in the circuit to a safe level. Ensure that all connections are secure to avoid erroneous voltage drops. 4. Initially, use a 24 resistor for R3 and 1 of the 3 unknown resistors as Rx. 5. Adjust the position B of the red lead along the length of the resistance wire while simultaneously closing the circuit switch and the #2 key on the galvanometer until there is no current flow through the galvanometer (branch AB), i.e., zero deflection of the galvanometer needle. In this position the bridge is balanced. Note: Do not allow the galvanometer needle to deflect beyond full scale. 5 6. Calculate the unknown resistance using the Wheatstone equation: L Rx R3 ( 1 ) L2 7. Replace R3 with the 51 resistor and again determine the unknown resistance, (Rx). 8. Repeat steps 5 to 7 for the other 2 unknown resistors. 9. For each of the 3 resistors determine the arithmetic average of your 2 calculated resistance values. . Report all resistance values to 1 decimal place . Use the resistor colour codes to check that your measurements and calculations are correct. 10. Obtain the true resistance of each of the unknown resistors by measuring them on the industrial Wheatsone bridge and report the % difference between these true values and each average resistance as determined using the bridge circuit which you made. 11. Using the industrial Wheatsone bridge determine the resistance in ohms (to 3 sig figs) of 1 additional unknown resistors as provided by the instructor and include these in your lab report. Questions: 1. Calculate the values of L1 and L2 (in cm) that would be obtained on your Wheatsone bridge if R3 = 20 and Rx = 400 . Explain why this arrangement would not give an accurate result. 2. What simple change should be made to the circuit described in question 1 to accurately measure the resistance of the 400 resistor? 3. State 2 ways in which a knowledge of the operation of electrical meters and simple dc circuits such as the Wheatsone bridge would be an asset to an analytical chemist. 6 CH 215 EXPERIMENT. # 4 RESISTIVITY & WIRE GAUGES Purpose: I. To determine the resistivity of resistance wires. II. To become familiar with common domestic/industrial electrical wires. Introduction: See Technical Physics, 3rd Ed., Ch 21.3. Materials: - dc circuit board - D dry-cell battery (1.5 V) - switch - 200 resistor - meter stick & tape - dc milliammeter - dc voltmeter - resistance wires - 0-25 mm micrometer - copper conductors of various gauges - alligator clips (2 straight & 2 right angle) - black and red insulated conductors with banana jacks 3 each Schematic for a resistivity circuit __ V 40.0 cm + A __ + 70.0 cm 100 cm 200 _ + Procedure for Part I: 1. Cut a 1 meter length of fine resistance wire and tape it to a non-conducting (wooden) meter stick as described by your instructor. 2. Construct the circuit as shown in the schematic with the voltmeter connected in parallel and the milliammeter connected in series (with correct polarity). 3. Note that the 200 resistor is connected in series with the battery to reduce the amount of current which will flow in the circuit to a safe level. Ensure that all connections are secure to avoid erroneous voltage drops. 4. With the ends of the two red conductors connected at the 100 cm position, measure the current in the circuit and the voltage drop across the resistance wire, and calculate (using Ohm's Law) the resistance of the wire in ohms. 5. Repeat step 2 after moving the ends of the two red conductors to the 70.0 cm position and then to the 40.0 cm position. 6. From these results, determine the average resistance of this wire in ohms per meter. 7. Using a micrometer, measure the diameter of the resistance wire as accurately as possible. Take several measurements to ensure accuracy. 8. Calculate the specific resistance (resistivity) of this wire in units of -m. 7 9. Also measure the current, voltage, length and diameter of 2 other larger resistance wires as provided by your instructor and calculate their resistivity (in -m) as well. 10. Attempt to identify the composition of these resistance wires by comparing your calculated resistivities to those of materials listed in Table 21.1 of your physics text and those of materials listed in the CRC Handbook of Chemistry and Physics (indexed under "wire gauges"). Procedure for Part II: 1. With the aid of the micrometer, measure, to three decimal places, the diameter of the following conductors: a) # 22 AWG wire (solid, single conductor, orange sheathed) b) # 14/2 AWG cable (solid copper, 2 conductor + ground, white sheathed) c) # 12/2 AWG cable (solid copper, 2 conductor + ground, red sheathed) d) # 10/3 AWG cable (solid copper, 3 conductor + ground, white sheathed) e) # 8/3 AWG cable ( stranded copper, 3 conductor + ground, white sheathed) 2. Construct a table, and report the following data for the conductors measured in Step 1: AWG #, measured diameter in mm, calculated diameter in mils, Brown & Sharpe (B & S) diameter in mm (see text and/or CRC Handbook), difference and % difference of the measured diameter from the B & S diameter. 3. Table I lists the AWG # of 4 cables and their typical domestic applications. Copy this table into your report and include the allowable ampacities (I) from the Ontario Hydro electrical safety code (column 4 for NMD 7 cable). Calculate the maximum power, in watts, obtainable through each conductor. Table I. Electrical cable applications Application light and plug circuits kitchen and utility room circuits electric dryer circuit electric range (oven) circuit Voltage (V) 110 110 220 220 AWG # 14 12 10 8 allowable ampacity (A) Maximum Power (W) Questions: 1. Report the American Wire Gauge (AWG) number, also called the Brown & Sharpe (B & S) gauge number of each of the 3 resistance wire diameters measured in the lab. 2. Report the diameter in mm and mils of each of the following AWG gauge numbers: 40, 30, 20, 10, 1, 0, & 0000. 3. If the diameter of a certain length of a wire is doubled, what happens to its electrical resistance? (use the formula for resistivity to calculate this) 4. What is the smallest graduation of the micrometer? (include units) 5. If the diameter of a wire lies between 1 and 2 mm, what is the maximum number of sig figs obtainable when measured with a 0-25 mm micrometer? 8 CH 215 EXP. # 5A CHEMICAL CELLS Purpose: To study the zinc-copper cell. Introduction: See Technical Physics, 3rd Ed., Ch 21 Supplement and your Chem text. Materials for the zinc-copper cell: - dc milliammeter - dc voltmeter - alligator clips (2 straight) - zinc and copper electrodes - 150 mL beakers 2 - emery cloth & safety goggles - rectangular glass beaker and electrode clamp - black and red insulated conductors with banana jacks 2 each - ca 75 mL d.i. H2O, tap H2O, 0.25 M ZnSO4, 0.25 M CuSO4, 1N H2SO4 Schematic for the zinc-copper cell: + + Cu + __ V __ A Zn - electrolyte solution Procedure (A): Note: Wear your safety goggles. 1. Polish a zinc and a copper metal strip with emery cloth to ensure good electrical contact with the solutions. 2. Place the Zn strip in a round beaker containing about 75 mL of 0.25 M CuSO4 solution and place the Cu strip in a second round beaker containing about 75 mL of 0.25 M ZnSO4 solution. After 3 minutes, inspect each strip for evidence of a chemical reaction and record your observations. 3. Remove and clean the metal strips for the next portion of this experiment. Return the ZnSO4 solution to the instructor but retain the CuSO4 solution. 4. Clamp the zinc and copper strips into the electrode clamp and construct the circuit as shown in the schematic (with correct polarity), except initially, place no solution in the rectangular beaker and disconnect one of milliammeter conductors. Read the voltage alone, then connect the milliammeter and read both voltage and current. Be sure that the 9 electrodes do not make electrical contact with each other during any of the readings in this procedure and record any change in the appearance of the electrodes after each set of readings is taken. 5. Disconnect one of the milliammeter conductors, pour about 75 mL of distilled water into the beaker, and, when the voltage stabilizes, read the voltage alone. Then reconnect the milliammeter and read both voltage and current. 6. Rinse the electrodes with tap water before proceeding to the next step. 7. Repeat Steps 5 & 6 using tap water and 0.25 M CuSO4, (in that order), in place of distilled water. 8. For the CuSO4 solution, note the appearance of both electrodes after the cell has been connected through the milliammeter for at least 5 minutes. 9. Replace the CuSO4 solution in the correct stock bottle when completed and carefully clean both electrodes before proceeding to the final portion of this experiment. 10. Place about 75 mL of 1N H2SO4 solution in the rectangular beaker, insert the Zn and Cu electrodes, and connect a voltmeter. After 3 minutes read the open circuit voltage and record any evidence of a chemical reaction at both electrodes. 11. Connect a milliammeter and after 3 more minutes, read the current and voltage and record any evidence of a chemical reaction at both electrodes. 12. Complete the following table and copy it into your lab report: CELL ELECTROLYTE air d. i. water tap water 0.25 M CuSO4 1 N H2SO4 OPEN CIRCUIT Voltage (V) CLOSED CIRCUIT Voltage (V) Current (mA) Questions: 1. Write half reactions for the electodes with CuSO4 as electrolyte and identify these as anode or cathode, oxidation or reduction, and positive or negative polarity. Include the half cell potential (emf) for each. Also write a combined redox equation for the total cell reaction and report the theoretical cell emf. See the CRC handbook (indexed under "electrode potentials") or see the appendix in your chemistry text. 3. Explain the appearance of both electrodes after removing from the CuSO4 electrolyte. 4. Explain the chemical activity (by means of a balanced chemical equation) at the Zn and Cu electrodes in the H2SO4 solution with and without the milliammeter connected. 5. Explain the difference between the voltages measured on the open circuits and the voltages measured on the closed circuits. (explain in terms of the equation V = - Ir and calculate the internal resistance of the battery). 6. Explain why this setup did not constitute an efficient battery and what you might do to improve its efficiency. 10 CH 215 EXP. # 5B CHEMICAL CELLS Purpose: To study the lead-acid secondary cell. Introduction: See Technical Physics, 3rd Ed., Ch 21 Supplement and your Chem text. Materials for the lead-acid storage cell: - dc milliammeter - dc voltmeter - dc ammeter - dc variable power supply - alligator clips (4 straight) - lead electrodes 2 - 30 mL beaker - emery cloth & safety goggles - ring support and splash pad - 4.5 N H2SO4 - black and red insulated conductors with banana jacks 3 each - ca. 75 mL distilled water, tap water, 0.25 M ZnSO4, & 0.25 M CuSO4 Schematic for the lead-acid storage cell: __ + A __ A + __ mA anode oxidation Pb Pb + + - V cathode reduction cathode reduction PbO 2 + + __ Charging half reactions: anode: 2H2O O2 + 4H+ + 4ecathode: 2H+ + 2e- H2 Pb - V + anode oxidation __ Discharging half reactions: anode: Pb + SO4-2 PbSO4(s) + 2ePbO2 + SO4-2 + 4H+ + 2e- PbSO4(s) + 2H2O anode: PbSO4(s) + 2H2O PbO2 + SO4-2 + 4H+ + 2ecathode: PbSO4(s) + 2e- Pb + SO4-2 Procedure (B): 1. Polish the lead electrodes with emery cloth to ensure good electrical contact with the alligator clips and with the solution and insert the electrodes into the beaker. 2. Carefully pour about 20 mL of H2SO4 solution into the beaker. 11 CAUTION: Wear safety goggles throughout this experiment. H2SO4 solution is corrosive. In the event of contact with skin or eyes, immediately flush the area with copious amounts of cold water and notify your instructor. 3. Connect only the voltmeter and record the cell voltage before charging. 4. Now construct the complete circuit as shown in the schematic for charging (with correct polarity). Be sure that the power supply is unplugged, turned off, and set to the 6V maximum setting during the circuit assembly. 4. With the voltmeter set to the 10V maximum position and the ammeter set to the 3A maximum position, turn on the power supply to a setting of 3-4 V and allow the cell to charge for 5 minutes. Record the charging voltage (from the voltmeter) and charging current. Record the activity at each electrode. Be sure that the electrodes do not make contact with each other during any part of this procedure. 5. After the 5 minutes charging, shut off the charger and immediately disconnect the leads from the charger. Note and record the appearance of each electrode. 6. Read the cell voltage and then rearrange the ammeter connections and install the milliammeter as shown in the discharging schematic. Initially, set the milliammeter to the short position. Now connect the two leads which were disconnected from the charger. Note the behavior of the ammeter and voltmeter as the connection is made. 7. When the ammeter reading has dropped, turn the milliammeter from the short position to one of the scales which is appropriate for the current of the discharging cell. 8. When the cell current has dropped to 5 mA, record the closed and open circuit voltages as accurately as possible. 9. Again close the circuit and allow it to completely discharge. Note and record the appearance of both electrodes after discharging. 10. Rearrange the circuit connections for charging and recharge the cell again for 3 minutes. Disconnect the charger, record the cell voltage, and again note and record the appearance of the electrodes. 11. Discharge your cell completely, dispose of the H2SO4 solution as per your instructor's directions, rinse and wipe clean both electrodes and the beaker. Ensure that your work area is wiped clean before leaving. Questions: 1. Write out each half cell reaction for the lead-acid battery (6 in all), and the standard electrode potential for each reaction proceeding in the direction as written. Identify these as anode or cathode, oxidation or reduction, charging or discharging, and positive or negative polarity. Also write a combined redox equation for the total cell reaction for the charging and discharging of this battery and report the theoretical cell emf. Show which direction is charging and which is discharging. 2. Compare the colour of both electrodes after charging, and after discharging to the colour of PbO2 and PbSO4 listed in the CRC handbook. 3. Distinguish between a primary and secondary cell. 12 4. Auto mechanics measure the specific gravity of H2SO4 electrolyte in lead-acid batteries as an indication of the degree to which a battery is charged or discharged. Stockel's auto service and repair manual gives the following data: EXTENT OF CHARGE Fully charged 75 % charged 50 % charged discharged s.g. % /wt Molarity Normality > 1.26 1.22 1.17 < 1.08 Copy this chart into your lab report and complete the missing information. This can be obtained from the CRC handbook, indexed under "density of aqueous solutions". Briefly explain why the s.g. of this battery indicates degree of charge. 13 CH 215 EXPERIMENT. # 6 ELECTROMAGNETISM Purpose: To construct and study a solenoid. Introduction: See Technical Physics, 3rd Ed., Ch 23.2 and chapter supplement (p485). Materials: - plastic drinking straw - 6 m of AWG # 30 lacquer coated wire - 5-7 cm steel nail - 8 cm 1 cm strip of aluminum foil - scotch tape & scissors - emery cloth - variable 6 V dc power supply -dc ammeter and 2 alligator clips - 2 black and 1 red insulated conductors with banana jacks Schematic for Solenoid: - A - Procedure: 1. Cut a 4 cm piece of a plastic straw and a 6 m length of motor wire. 2. Tightly coil the wire around the straw in one direction (either clockwise or counter clockwise) leaving about 15 cm free at each end and tape the loose end. + 3. Rub off the lacquer coating at each end of the wire with emery cloth to expose the bare conductor and connect one end to an ammeter and the other end to the nail. + 4. Complete the connection of the circuit as shown in the schematic by connecting the ammeter to a dc power supply. The 8 cm strip of aluminum foil is held by an alligator clip and is electrically connected to the other terminal of the power supply. During this step keep the power supply turned off. 4V 5. Set the power supply to its 6 V maximum setting, turn on the switch, and adjust the voltage to about 4 V. Incline the solenoid at about a 20-50 angle from the horizontal so that the nail tends to slide out of the coil under gravity. Allow the head of the nail to contact the aluminum foil as shown and observe the behavior of the nail and aluminum foil. 6. You may have to adjust the angle of the solenoid slightly to cause the nail to oscillate in and out of the coil. 7. Record the number of amps being drawn through the coil when the circuit is closed. 8. Measure the diameter of your coil and its length. 9. Identify the north and south poles of your solenoid using the right hand rule for coils and by deflecting a compass needle. 14 Questions: 1. Explain the oscillating motion of the core. 2. Draw a sketch of your complete solenoid circuitd showing the direction of conventional current flow over the coil, polarity, and the north and south poles of your solenoid. 3. Calculate the number of turns (N) on your coil using: N = meters of wire C where C (circumference) = 2r or d. 4. Calculate the turn density (n) of your coil using the formula n = N/L (where L = length of the solenoid in meters). 5. Assuming a relative permeability (Km) of 8000 for the steel solenoid core, calculate the magnetic field strength of your solenoid. Also calculate the magnetic field strength of your coil with an air core. Report both values in units of Tesla's and Gauss. NI Use the formula for solenoids: B = L 6. By means of a simple sketch and in words, explain the difference between a relay and a solenoid. Show the direction of current flow through the coils and external circuits and the north and south poles. List 2 applications of each. 7. Answer question 17 on p482. (see Fig 23.23 on p483). 8. Complete all the following calculations and copy these into your lab report in the same way as they are shown below (so that the instructor can follow your calculations). Be careful. Students often confuse the wire length, coil length, and coil diameter values in their calculations and loose marks carelessly here. k = 8000, o = 4 10-7, m = ........................, wire length = ................. m coil diameter (d) = .................. cm = ........................ m solenoid (coil) length (L) = .................... cm = ........................ m circumference (C) = d = ........................ m # turns (N) = length (m) = ........................ turns C (m) turn ratio (N/L) = ........................ turns/m o = ........................ T = ........................ G m = ........................ T = ........................ G 15 CH 215 EXPERIMENT. # 7 TRANSFORMERS Purpose: To construct and study transformers. Introduction: See Technical Physics, 3rd Ed., Ch 24.5 and chapter supplement. Part A: Constructing and testing a step down transformer: Materials: - 2.2 m #22 lacquer coated wire - ac analog voltmeter - 4.8 m # 26 lacquer coated wire - ac digital voltmeter - 7 cm section of iron bar - variable ac power supply - emery cloth, scissors, tape measure - straight alligator clips 4 - 6 insulated conductors with banana jacks Schematic for Step Down Transformer : V 50 turns # 22 gauge inner secondary winding V 100 turns # 26 gauge outer primary winding Procedure: 1. Cut a 2.2 m length of # 22 gauge lacquer coated wire and tightly wrap a 2-3 cm section of the iron bar with about 50 close loops of the wire, wound in only one direction (clockwise or counter clockwise). Count and record the exact number of turns used and leave about 10 cm of wire loose at each end. This is the inner secondary winding. 2. Cut a 4.8 m length of # 26 gauge lacquer coated wire and wrap this tightly around the inner winding with 100 loops (wound in only one direction) leaving about 10 cm free at each end. Count and record the exact number of turns used. This is the outer primary winding. 3. Rub off a 1-2 cm section of the lacquer coating at the 4 wire ends with emery cloth to expose the bare conductor. Connect the ends of the larger gauge inner (secondary) winding to the digital voltmeter and connect the ends of the smaller gauge outer (primary) winding to the ac power supply and in parallel to the analog ac voltmeter. Polarity of connections need not be considered for ac operation. Note: The power supply must be turned off and set to its minimum output setting during hookup. 4. Before turning on the power, set the digital voltmeter to the ac 2 V maximum setting and the analog voltmeter to the ac 2.5 V maximum setting. Have your instructor check your settings and connections before you turn on the power supply. 5. Turn on the ac power supply and adjust the output to 0.20 V on the primary winding and record the induced voltage of the secondary winding on the digital voltmeter. 16 Continue adjusting primary voltages and recording secondary voltages so as to complete the following table (Table A). Record all readings to 2 sig figs. STEPDOWN N1 = N2 = V1 (primary) N1/N2 = V1/V2 V2 (secondary) coil temperature: (cool, warm, or hot) 0.20 0.50 1.0 1.5 2.0 Part B: Testing an industrial transformer. Materials: A commercial 115 V transformer is used in place of a student-made transformer. The electrical connections are the same as in Part A. Procedure: 1. Connect the transformer as shown in the schematic for Part A, initially with the primary (115 V) side connected to the power supply. Set the supply voltage as shown in the following table (Table B-1) and record the induced voltage in the secondary. Nominal V1 = 115 V STEPDOWN V1 Nominal V2 = V V2 Nominal V1/V2 = V1/V2 1.0 2.0 4.0 6.0 8.0 2. Reverse the transformer connections so that the low voltage side of the transformer is now connected to the power supply and is now the primary winding and the high voltage side is connected to the digital voltmeter and is now the secondary winding. Repeat Step 1 and complete the following table (Table B-2). Nominal V1 = STEPUP V1 V Nominal V2 = 115 V V2 1.0 2.0 4.0 6.0 8.0 17 Nominal V1/V2 = V1/V2 Questions: 1. Copy the 3 tables into your lab report and label them Table A, B-1, and B-2. 2. Complete the tables by calculating V1/V2. Theoretically, this should be equal to the turn ratio N1/N2. 3. Compare the actual turn ratio in the transformer you made with the calculated turn ratio. Explain how "stray flux" and "eddy currents" cause the discrepancy. 4. For the transformer which you made, comment on its temperature at various primary voltages. What causes the heating of the transformer and how can this be minimized? 5. Explain how "joule heat" losses (described in the chapter supplement) are sometimes desirable as with "induction heating". Give applications for each. 6. What secondary voltage would be measured if a dc power supply were used in place of the ac supply? Explain your answer. 7. How can a dc primary current be used to induce current in a coil? Where is this used in an automobile? (see p502) 8. Calculate the turn ratio of your commercial transformer. 18 CH 215 EXPERIMENT. # 8 CAPACITORS Purpose: To construct and study capacitors. Introduction: See Technical Physics, 3rd Ed., Ch 20.1, 20.3, and 20.5. Part A: Fabricating a tubular capacitor: Materials: - waxed paper - aluminum foil - straight alligator clips 2 - high impedance dc voltmeter - dc power supply or 9V battery - scissors & a clothes peg Diagram for Fabricating a Tubular Capacitor: V roll into a tube waxed paper ( 1 folded piece) aluminum foil ( 1 piece between) ( 1 piece over) charge the capacitor measure the voltage of the capacitor Procedure: 1. From a kitchen roll dispenser, tear off a strip of waxed paper which will be about the size of a standard sheet of paper (ca. 20 30 cm). Fold this in half so that the length is reduced from 30 cm to 15 cm. 2. From a kitchen roll dispenser, tear off a strip of aluminum foil which be about the same size as the waxed paper. Cut the foil in half so that one half-sheet will fit into the folded waxed paper. Trim off or fold back about 2 cm from 2 adjacent edges of the foil. Do this to both sheets of the foil. 3. Place one sheet of foil inside the folded waxed paper, as shown, so that the foil protrudes at only one end. Lay the second sheet of foil over top and set-back, as shown. The two sheets of foil must not be in contact. 4. Roll the sheets into a tube in the direction which will keep the top layer of foil on the outside of the tube. Be certain that the two sheets of foil are not in contact. Prevent the tube from unrolling by securing it with a clothes peg. 19 5. Connect the leads from a 10 V dc power to the 2 foil surfaces and charge the capacitor for 1-2 seconds. 6. Disconnect the power supply leads and connect the leads from a high impedance dc voltmeter to the 2 foil surfaces of the charged capacitor and observe the voltage reading of the capacitor. 7. Repeat the charging and discharging sequence several times and record the maximum voltage held by the capacitor and average time taken for the capacitor to discharge. Part B: Studying an RC Circuit: Materials: - dc power supply - high impedance dc voltmeter - 10 cm 15 cm pegboard - 1 M resistor - 2 black & 1 red binding posts - 100 F electrolytic capacitor - stopwatch - safety glasses - leads with banana jacks (1 black, 1 red, and 1 of another colour for a jumper) Schematic for Charging and Discharging an RC circuit: Charging _ Discharging + _ jumper wire + _ V black binding posts + V red binding post Procedure: 1. Multimeter (voltmeter) Setup: a) Leads on the multimeter are connected as follows. Connect the black lead to the "com" (common) terminal of the meter and the red lead to the "V-" terminal. b) Turn the dial to select the 20 V dc maximum range. (20 VDC) c) The meter should read 0.00 V when the terminals are shorted. 2. Power Supply Setup: a) With the power supply unplugged and the voltage adjustment dial set to its minimum position (completely counter clockwise), connect the voltmeter leads to the power supply leads with correct polarity (red to + and black to ). b) Plug in the power supply and adjust the power output to 10.0 V and record the exact reading obtained. Unplug the power supply but do not move the V-adjuster dial. 20 3. Assembling the Circuit Board and Circuit: a) Mount the 2 black binding posts and the red binding post on the pegboard as explained by your instructor. (see diagram) b) Secure the 1 M resistor between the 2 black binding posts (resistors have no polarity). c) Secure the 100 F electrolytic capacitor between the center black binding post and the red binding post as per the diagram. Note: All electrolytic capacitors are polarized. They must be connected with correct polarity (neg. to neg. and pos. to pos.) or they may explode when charged in reverse. d) Connect the voltmeter in parallel across only the capacitor (i.e., across the middleblack and the end-red binding posts as per the diagram). Read the voltage of the capacitor before charging. It must be 0 V. If the voltage before charging is not 0 V, discharge the capacitor as per the discharging schematic. e) Connect the dc power supply, still unplugged and with correct polarity as per the diagram. Do not disturb the V-adjuster dial setting. Again check that the capacitor voltage reads 0 V and discharge if necessary. 4. Charging the Capacitor and Measuring the RC Time Constant: a) Calculate the time constant () for your RC circuit and the time in sec. of 1-5 time constants. Convert time in sec to min. and sec. for convenience in using the stopwatch. Calculate the voltage expected (Vcalculated) for the 1-5 calculated time constants using: V = Vmax (1 - e-t/RC) calculated voltage during charging : b) With safety glasses on, and stopwatch zeroed and ready, plug in the power supply and immediately start the timer. Record the capacitor voltage at the calculated times of 1-5 time constants. If you miss recording the voltage at the correct time, record the voltage and the time as close as you can to the correct time. c) Leave the power on and the circuit charging while preparing for the next steps. The capacitor voltage should stabilize at the 10.0 V you originally set on the power supply provided the adjuster-dial has not been moved. Record the final maximum voltage and the time at which you read this. 5. Discharging the RC Circuit: a) Examine the discharging circuit diagram. Note that the power supply is replaced by a conductor (jumper wire of another colour insulation). This jumper will allow the RC circuit to discharge the capacitor according to the equation: V = Vmaxe-t/RC - The RC time constant for discharging will be the same as for charging. b) Calculate the voltage expected at times of 1-5 time constants for discharging. c) When ready to measure the capacitor discharge rate, insert one end of the jumper wire into the left (outer), black binding post and then carry out the following steps quickly and in sequence: - unplug the power supply. 21 - loosen the red binding post by unthreading the knurled nut slightly - disconnect the power supply lead from this red post and retighten the nut - insert the free end of the jumper wire into the red post and start timing Note: Follow the above sequence. Do not delay in disconnecting the power supply lead from red post even though the unit is unplugged. The capacitor will immediately begin discharging through the power supply leads if they are left connected. d) Record the capacitor voltage at the calculated times for all five time constants. If you miss recording the voltage at the correct time, record the voltage and the time as close as you can to the correct time. 6. Repeat Your Experiment: - Repeat the charging and discharging sequence at least once but be sure to recheck the voltage output setting on the power supply and to completely discharge the circuit to 0 V before charging. DATA AND RESULTS: Charging: Initial V = 0.0 V Vmax = _____ V Time # 's seconds Voltage min.-sec Vcalculated 2 3 4 5 final 22 Vmeasured Vmeasured 1st run 2nd run Discharging: Initial V = Vmax = _____ V Time # 's seconds Voltage min.-sec Vcalculated Vmeasured Vmeasured 1st run 2nd run 2 3 4 5 final Calculations and Questions: 1. Complete and copy the tables into your lab report and label them appropriately. 2. Choose one of your data sets, i.e., either the first run or the second run, and plot a graph of voltage (V) versus charging time (in units of ). Draw a line showing Vmax. 3. For the same run, plot another graph of voltage (V) versus discharging time () and draw a line showing Vmax. 3. On the second graph, also plot the sum of [V (charging) + V (discharging)] vs. time . Comment on how this does and should compare with the Vmax line. 4. List 3 types of fixed capacitors. (see p 419) 5. Answer question # 22 on p426 and problems # 33-35 on p427. 23 CH 215 EXPERIMENT. # 9 TROUBLE SHOOTING WITH MULTIMETERS Purpose: To use a multimeter for trouble shooting. Introduction: An important tool for locating and repairing electrical/electronic problems is the multimeter (also called a VO meter, i.e., volts-ohms meter). It can be used to measure ac & dc voltage, ac & dc amperage, and resistance. The circuitry of the dc voltmeter and dc ammeter has already been studied (Ch 23.6). Note: In general, the black test lead remains connected to the "com" (common) terminal of the multimeter while the red test lead is moved between the other terminals depending upon the function selected. Ammeters: Ammeters are connected in series in a circuit in which current is to be measured as illustrated. Ensure that the range selector is set at a _ + range whose maximum amperage exceeds the expected reading. If in doubt, select the highest range and work downwards for greater accuracy. Current is measured on a live circuit. _ + A Work carefully. Avoid touching any live wiring. Select an ac or dc setting as required. Ensure proper polarity in dc circuits. Most ammeters have 2 terminals for the red lead; a low range terminal for up to 2 A and a high range terminal for up to 10 A. Voltmeters: Voltmeters are connected in parallel across a component as illustrated and measure voltage drop. Polarity is important in dc circuits especially with analog meters where polarity reversal _ _ may harm the meter. Digital meters generally indicate a + voltage reading for V correct polarity and a - voltage reading for + + reversed polarity. As with ammeters, ensure that the range selector is set at a range whose maximum voltage exceeds the expected reading. If in doubt, select the highest range and work downwards for greater accuracy. Voltage is measured on a live circuit. Be careful. Note that if an ac voltage is measured on a dc voltage meter range, the voltage will read zero volts. A voltmeter should read 0.0 volts when its test leads are shorted together. 24 Ohmmeters: An ohmmeter consists of a galvanometer, a variable resistor, and a battery all connected in series as shown. 0 _ _ + + open circuit resistance 0 closed circuit resistance When the ohmmeter's leads are open, no current flows through the galvanometer and the needle rests on the left hand side of the scale which is calibrated as infinite resistance, i.e., . The leads are then connected together to short the circuit and the needle undergoes full scale deflection to the right which is calibrated as zero ohms, i.e., 0 . A zero adjusting knob allows the user to adjust the variable resistor to obtain exact full scale deflection and thus keep the meter zeroed even as the battery grows weak with age. To measure the resistance of a component, the component is connected to the test leads and is thus in series with the meter's internal resistor. Recall that Rs = R1 + R2 . Thus the current through the galvanometer and the resultant meter deflection is intermediate between the extremes and is read from the calibrated scale. Note: An ohmmeter is always used with no external voltage applied to the component. If the component is live, the meter may be damaged. The following steps should be followed for measuring resistance: 1. Disconnect the voltage from the component. 2. Disconnect the component from the circuit unless this will not affect the resistance. 3. Touch the test leads together and use the zero adjust knob to zero the meter. 4. Select the proper range setting. If unsure, start with the highest scale. 5. Connect the meter leads to the component. Polarity is not important. Be careful not to touch the test lead contacts with your fingers since your body resistance will affect the reading. An ohmmeter is not an accurate instrument but it is quick and convenient and is sufficient for most purposes. A Wheatstone Bridge measures resistance accurately. 25 Part A: Tests with a voltmeter Materials: - 1.5 V & 9V batteries - ac step down transformer - straight alligator clips 2 - multimeter & various resistors - ac to dc rectifier & step down transformer - red & black banana jacks 2 each 1. Battery Testing: _ _ V + _ _ V + + measuring battery voltage without current draw + measuring battery voltage while drawing current Measuring the terminal voltage of a battery while no current is being drawn is a quick method of determining the charge level of a battery. A fully charged battery usually displays a terminal voltage above its nominal (nameplate) voltage whereas a discharged battery usually displays a terminal voltage below its nominal voltage. A voltage measured without current draw is, however, not always reliable. A weak battery may show a high terminal voltage under no load but be quite weak when current is drawn. Recall that the internal resistance of a battery must be considered. Fully charged 1.5 V AA, C, & D batteries as well as 9 V transistor batteries should maintain 90 % or better of their nominal voltage even while about 0.1 A of current is being drawn. If the voltage drops below 90 %, the battery is weak or spent. Procedure: 1. Set the multimeter to its dc volts range and connect the meter, with correct polarity, to the battery. For each of the batteries supplied by your instructor, measure and record the terminal voltage under no load. 2. Use the nominal voltage of the battery and Ohm's Law to calculate the series resistance needed to draw 0.1 A from each battery. 3. With meter connected to battery as in step 1., connect the appropriate resistor in series with the battery but in parallel with the meter, as shown in the diagram above. 4. Measure and record the terminal battery voltage while current is being drawn. Measure this quickly and do not leave the resistor connected to the battery as this will drain the battery in short order. 5. Complete the following table. 26 battery brand nominal V under resistor V under size name voltage no load value () load % of nominal V strong or weak Other Voltage Tests: 1. Measure and record the voltage output of a 120 V ac to 15 V dc adapter on both an ac volt range and a dc volt range. Note the polarity for the dc voltage measurement. State which reading is correct. 2. Set an ac step down transformer to 6 V ac using the voltage selector dial on the transformer. Measure and record the output voltage on both the ac and dc voltage ranges of your meter. State which is correct. Part B: Tests with an Ohmmeter: 1. Measure and report the resistance of the resistors supplied by your instructor and complete the following table. colour band nominal measured sequence resistance () resistance () % error error 2. An ohmmeter is invaluable as a continuity tester, i.e., testing for complete circuits. A reading of zero or low resistance generally indicates a closed (complete) circuit while a reading of infinitely high resistance indicates an open circuit. Intermediate resistance readings must be interpreted in terms of the circuit or component being tested. For 27 example, auto ignition wires are manufactured with a resistance of about 6k per foot. An auto ignition coil's primary winding is 1-3 , whereas its secondary is 7k-18k . Test the following items for electrical continuity and record the measured resistance. Indicate whether the equipment is faulty or in good order based on this test. # Component 1. small coloured light bulb 2. 60 watt white light bulb 3. 100 watt white light bulb 4. headlight high beam 5. headlight low beam 6. red plastic auto fuse 7. glass auto fuse in black plastic fuse holder 8. 20 A Edison-base fuse 9. 30 A Fusetron 10. 30 A circuit breaker 11. speaker coil 12. universal motor winding of blow dryer 13. household 120 V light switch 14. auto courtesy light dimmer switch 15. Norsted copper inductor (coil) 16. auto ignition wire 17. appliance thermostat Resistance () Faulty or O.K. Note that switches should be tested in both the on and off positions to verify that they are in good order. 18. On the electric cord, identify which colour of wire is connected to the inner and outer portion of the socket. 19. On the household 120 V light fixture, identify which wire is connected to the brass terminal at the base of the socket and which wire is connected to the silver threaded socket. 20. On the household 120 V duplex, identify which prong of the duplex (large, small, or u-shaped) is connected to the any of the following: brass screws, silver coloured screws, green grounding screw, cover plate fastening screw socket, and the metal mounting brackets. 28 21. On the auto ignition coil, measure the resistance across the - and + primary circuit terminals. Also measure the resistance across the + primary terminal and the secondary coil tower terminal. 22. Measure and record the resistance of your body by tightly gripping the ends of the ohmmeter's test leads a) with dry fingers, b) with wet fingers Questions: For each of the following, state briefly but specifically, how you could safely determine the required information. Be sure to indicate whether the power would be on or off, the component would be connected or disconnected, and the setting of the multimeter, i.e., dc volts, ac volts, dc amps, ac amps, or ohms. a) Determine if a household 120 V duplex is live and which prong is the hot one. b) Determine if an extension cord has a broken wire within its insulation. c) Determine if a heating element in an electric dryer is burned out. d) Determine if the metal body of an appliance is properly grounded to the u-shaped prong of its plug. e) Determine if a motor winding is shorting to the metal body of the motor. f) Determine if a circuit breaker is tripping unnecessarily, i.e., at low current in the circuit. g) Determine if the cover plate fastening screw is grounded. 29 CH 215 EXPERIMENT # 10 DIODES Purpose: To study the function and applications of diodes. Introduction: See Technical Physics, 3rd Ed., Ch 26.1 and 26.2. Part A: Checking a diode with a multimeter. anode + + foreward V biased _ _ cathode Procedure: 1. Set the multimeter to the diode check position and connect the multimeter leads to one of your diodes with correct polarity (foreword biased, i.e., black, negative meter lead to cathode-banded side of diode and red, positive meter lead to anode-other, positive side of diode) and record the voltage reading on the meter. A properly functioning silicon diode will show a small voltage drop of less than 1V when foreword biased and OL (overload) when incorrectly connected (reversed biased). 2. Check your other 3 diodes and record all foreword biased voltage readings. Part B: Constructing a bridge circuit (full wave rectifier): Materials: - variable ac power supply - dc and ac voltmeter with test leads - 4 silicon diodes (e.g. 1N4003) - 510 ½ watt resistor 1 - cables with banana jacks 2 - peg board & 6 binding posts - 2 short lengths of # 22 gauge wire or equivalent Diagram for Constructing a Diode Bridge Circuit: Vac binding post Vdc 30 Procedure: 1. Mount the 6 binding posts on the peg board as shown in the diagram, spacing them so that the 4 diodes and the resistor can be securely held in the posts. 2. Insert the diodes with polarity as shown. Note that the side of the diode with the colored band is the negative terminal (cathode) and corresponds to the straight line portion of the diode symbol. The arrow in the diode symbol points in the direction of conventional current flow (positive to negative). Reversed biased diodes may be damaged. 3. Insert the resistor into its binding posts and connect the resistor binding posts to the rectifier bridge circuit with 2 short lengths of # 22 gauge wire. 4. Connect the leads from an ac power supply to the bridge as shown. 5. Connect the leads from the voltmeter to the power supply and adjust the power supply until the terminal voltage reads 10.0 VAC using the meter's 20 VAC maximum range. 6. Change the voltmeter to the 20 VDC maximum range and read dc voltage across the resistor as shown 7. Record your VAC input measured and VDC output measured in row 1 of Table 1 along with the VDC calculated. The voltmeter reads VACrms and VDCavg. Calculate the VDCavg as follows: VACpeak = 2VACrms VDCavg = 2VACpeak (for full wave rectification) VDCavg = VACpeak (for half wave rectification) Part C: Constructing a half wave (single diode) rectifier: Materials: -same as for Part B. Diagram for Constructing a Half Wave (single diode) Rectifier: Vac Vdc 31 Procedure: 1. Alter the connections in your circuit as shown. The dotted lines represent disconnected conductors. This circuitry connects only 1 diode in series with the resistor thus creating a half wave rectifier. 2. Repeat step 5-7 as above but record your readings in row 2 of Table 1. Table 1: VACrms measured (V) VACpeak calculated (V) VDCavg calculated (V) VDCavg measured (V) 1 2 Part D: 1. Use the diode check on your multimeter to determine the foreword biased voltage of an LED as provided by your instructor and report this value in your report. Calculations and Questions: 1. Complete and copy Table 1 along with other data into your lab report and label them appropriately. 2. Draw a diagram of a full wave bridge circuit rectifier as shown in this lab and show the polarity of the ac power supply and direction of conventional current flow through every branch of the circuit by means of arrows. Draw the diagram again with opposite polarity on the ac supply and again show the direction of conventional current flow through every branch of the circuit. 3. Answer question #10, 12-13 on p547. 32