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Electric Circuits - Series with Ohm's Law
1. Three 20  resistors are connected in series across a 120 V generator.
a. What is the total resistance of the circuit?
b. What current flows in the circuit?
(60 )
(2A)
2. A 10  resistor, a 15  resistor, and a 5  resistor are connected in series across a 90 V battery.
a. What is the total resistance of the circuit?
(30 )
b. What current flows in the circuit?
(3A)
3. Ten Christmas tree bulbs have equal resistances. When connected to a 120 V outlet, a current of 0.5 A
flows through the bulbs.
a. What is the total resistance of the circuit?
(240 )
b. What is the resistance of each bulb?
(24 )
4. A 16  resistor, a 14  resistor, and a 30  resistor are connected in series across a 45 V battery
a. What is the total resistance of the circuit?
(60 )
b. What current flows in the circuit?
(0.75 A)
5. A lamp having a resistance of 10  is connected across a 15-V battery.
a. What current flows through the lamp?
(1.5 A)
b. What resistance must be connected in series with the lamp to reduce the current to 0.5 A? (20 )
6.
a. What current flows through a 60-W bulb when it is connected across a 120-V outlet?
(0.5 A)
b. What is the resistance of two 60-W bulbs connected in series?
(480 )
c. What current flows through the two bulbs when connected in series and placed across a 120-V outlet?
(0.25 A)
7. A 20- resistor and a 30- resistor are connected in series and placed across a 100-V potential
difference.
a. What is the total resistance of the circuit?
(50 )
b. What current flows through the circuit?
(2 A)
c. What is the voltage drop across each resistor?
(40 V, 60 V)
d. What is the total voltage drop across the circuit?
(100 V)
8. Three 30- resistors are connected in series and placed across a difference in potential of 135 V.
a. What is the total resistance of the circuit?
(90 )
b. What is the current flowing in the circuit?
(1.5 A)
c. How much voltage is dropped across each resistance?
(V1 = 45 V, V2 = 45 V, V3 = 45 V)
d. What is the total voltage drop across all three resistors?
(135 V)
9. Three resistors of 3 , 5 , and 4  are connected in series across a 12-V battery.
a. What is the combined resistance of the three resistors?
(12 )
b. What current flows in the circuit?
(1 A)
c. What is the voltage drop across each resistor?
(V1 = 3 V, V2 = 5 V, V3 = 4 V)
d. What is the total voltage drop across the circuit?
(12 V)
10. Four resistors of 6  each are connected in series and placed across a voltage source. The current flowing
in the circuit is 1.6 A.
a. What is the total resistance of the circuit?
(24 )
b. What is the voltage of the source?
(38 V)
c. What is the voltage drop across each of the resistors?
(9.6 V)
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