Series and Parallel

Practice Questions

AP Physics 1 › Series and Parallel

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1

What is the total resistance of three resistors, , , and , in parallel?

2

If we have 3 resistors in a series, with resistor 1 having a resistance of , resistor 2 having a resistance of , and resistor 3 having a resistance of , what is the equivalent resistance of the series?

3

Resistors

Four configurations of resistors are shown in the figure. Assume all resistors have the same resistance equal to . Rank the different combinations from largest equivalent resistance to smallest equivalent resistance.

4

Three resistors, , , and , arearranged as follows. What is the equivalent resistance of this setup?Screen shot 2015 09 08 at 12.11.44 pm

5

Photo

What is the effective resistance of this DC circuit?

6

What is the total current flowing through a system with 2 resistors in parallel with resistances of and , and a battery with voltage difference of 10V?

7

A circuit is made up of a voltage source with three resistors connected in series. The resistors have a resistance of and the current flowing through one of the resistor is . What is the voltage provided by the voltage source?

8

Two lightbulbs, one graded at and one graded at are connected in series to a battery. Which one will be brighter? What if they are connected in parallel?

9

Determine the total charge stored by a circuit with 2 identical parallel-plate capacitors in parallel with area , and a distance of between the parallel plates. Assume the space between the parallel plates is a vacuum. The circuit shows a voltage difference of 10V.

10

Consider two circuits: one contains two resistors wired in series, each with a resistance of , while the other contains two resistors wired in parallel, one with a resistance of and the other with an unknown resistance. The circuits are completely independent, each having its own battery, and each drawing a current of . What must the resistance of the unknown resistor be for the two circuits to have the same total resistance?

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