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Answer Key Full Solutions
1) For this circuit voltage V = 7 V, resistance R1 = 7 Ω, resistance R2 = 14.0 Ω and R3 = 21.0 Ω.
What is the equivalent resistance of the circuit?
R = R
1
+ R
2
+ R
3
= 7 Ω + 14 Ω + 21 Ω = 42.0 Ω
2) Two 4.4 V batteries are connected in series. What is the voltage between points X and Y?
When batteries are connected in series the resulting total voltage is the sum of the voltages.
Total voltage = 8.80 V.
3) Which statement below is NOT a true statement regarding a voltage source?
A voltage source causes current to flow from high to low potentialyou can see this from the water analogy, in which water flows downhill .
4) A light bulb that is connected to a 120 V source draws 1.7 A. What is the resistance of the light bulb?
V = IR ⇒ R = V
I
=
120 V
1.7 A
= 70.6 Ω
5) For this circuit the voltage V = 10V, resistance R1 = 5 Ω, resistance R2 = 8 Ω. What is the current, I , flowing in the circuit?
The equivalent resistance is R =
R
1
R
2
R
1
+ R
2
=
(5 Ω)(8 Ω)
5 Ω+8 Ω
=
And the current is found from Ohm's Law.
3.08 Ω
I = V
R
= 10 V
3.1 Ω
= 3.25 A
6) What is the correct relationship between current, resistance, and voltage?
Ohm's Law says that V = IR . Rearranging to solve for I , we get I = V/R . Voltage is on top, so current is directly proportional to voltage and resistance is on the bottom, so current is inversely proportional to resistance.
7) The battery of the ErgoBot device when fully charged has a capacity of 900 mAh. If the
ErgoBot is used continuously for 6 hours before the battery discharges, what is the average current that the ErgoBot used during these 6.00 hours?
I =
900 mA h
6 h
= 150 mA
8) Which of the following is a poor electrical insulator?
Water is a good conductor.
9) For this circuit the voltage V = 10V, resistance R1 equivalent resistance of the circuit?
= 8 Ω, resistance R2 = 5 Ω. What is the
The equivalent resistance is:
R =
R
1
R
1
+
R
2
R
2
=
(8Ω)(5Ω)
8Ω+5Ω
= 3.08 Ω
10) If you have a circuit with one battery and one resistor and want to measure the current flowing through the resistor, how would you do it?
Current flows in wires and through devices and components.
To measure the current flowing through a component such as a resistor we must connect an
Ammeter in series with the resistor.
11) For this circuit the voltage V = 5 V, resistance R1 = 10 Ω, resistance R2 = 5 Ω. With the switch open as indicated the volt meter reads 0.0 volts. What is the voltage read by the voltmeter connected across resistor R2 when the switch is closed?
The voltage across resistor R2 is:
V
R
2
= V
R
2
R
1
+ R
2
= 5 V
10 Ω
10 Ω+5 Ω
= 1.67 V
12) A circuit consists of a battery plus two resistors connected in parallel with each other. How do you connect the probes for a digital multimeter in order to measure the current through one of the resistors?
Ammeters, which measure current, must be connected in series with the resistor.
13) What does it mean if a battery is labeled 6 V?
Voltage or potential difference is always measured for two points relative to each other.
14) Four 4 Ω resistors are connected in parallel across a 4 V battery. What is the equivalent resistance of the circuit?
1
R eq
R
1 eq
=
=
R eq
1
R
1
1
4 Ω
1
R eq
+
+
1
R
2
1
+
=
4 Ω
4
+
4 Ω
=
4 Ω
4
= 1.00 Ω
1
R
3
1
+
4 Ω
+
1
R
4
1
4 Ω