Parallel Circuits

1. A 470 Ω resistor, a 220 Ω resistor, and a 100 Ω resistor are all in parallel. The total resistance is approximately

  1. 790 Ω
  2. 470 Ω
  3. 60 Ω
  4. 30 Ω

Correct answer: (C)
60 Ω

2. A set of Christmas tree lights is connected in parallel across a 110 V source. The filament of each light bulb is 1.8 k. The current through each bulb is approximately

  1. 610 mA
  2. 18 mA
  3. 110 mA
  4. 61 mA

Correct answer: (D)
61 mA

3. A sudden increase in the total current into a parallel circuit may indicate

  1. a drop in source voltage
  2. an open resistor
  3. an increase in source voltage
  4. either a drop in source voltage or an open resistor

Correct answer: (C)
an increase in source voltage

4. An ammeter has an internal resistance of 50 Ω. The meter movement itself can handle up to 1 mA. If 10 mA is applied to the meter, the shunt resistor, RSH1, is approximately

  1. 55 Ω
  2. 5.5 Ω
  3. 50 Ω
  4. 9 Ω

Correct answer: (B)
5.5 Ω

5. Five 100 Ω resistors are connected in parallel. If one resistor is removed, the total resistance is

  1. 25 Ω
  2. 500 Ω
  3. 100 Ω
  4. 20 Ω

Correct answer: (A)
25 Ω

6. Five light bulbs are connected in parallel across 110 V. Each bulb is rated at 200 W. The current through each bulb is approximately

  1. 2.2 A
  2. 137 mA
  3. 1.8 A
  4. 9.09 A

Correct answer: (C)
1.8 A

7. Four 8 Ω speakers are connected in parallel to the output of an audio amplifier. If the maximum voltage to the speakers is 12 V, the amplifier must be able to deliver to the speakers

  1. 18 W
  2. 1.5 W
  3. 48 W
  4. 72 W

Correct answer: (D)
72 W

8. Four equal-value resistors are connected in parallel. Ten volts are applied across the parallel circuit and 2 mA are measured from the source. The value of each resistor is

  1. 12.5 Ω
  2. 200 Ω
  3. 20 KΩ
  4. 50 Ω

Correct answer: (C)
20 KΩ

9. Four resistors are connected in parallel. Fifteen mA flows through resistor R. If the second resistor is 2R, the third resistor 3R, and the fourth resistor 4R, the total current in the circuit is

  1. 60 mA
  2. 15 mA
  3. 135 mA
  4. 31.25 mA

Correct answer: (D)
31.25 mA

10. Four resistors of equal value are connected in parallel. If the total voltage is 15 V and the total resistance is 600 Ω, the current through each parallel resistor is

  1. 25 mA
  2. 100 mA
  3. 6.25 mA
  4. 200 mA

Correct answer: (C)
6.25 mA

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