SAT Subject Physics Practice Question 182: Answer and Explanation

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Question: 182

28.

All six resistors in the circuit have the same resistance, R, and the battery is a source of constant voltage, V.

How does the current through Resistor a compare with the current through Resistor b ?

A. The current through Resistor a is 9 times the current through Resistor b.
B. The current through Resistor a is 3 times the current through Resistor b.
C. The current through Resistor a is the same as the current through Resistor b.
D. The current through Resistor b is 3 times the current through Resistor a.
E. The current through Resistor b is 9 times the current through Resistor a.

Correct Answer: B

Explanation:

The current entering the parallel combination containing Resistors b, c, and d will split evenly among the resistors since all their resistances are the same. Because there are 3 resistors in the parallel combination, each resistor in this combination will get 1/3 of the current. Another way of saying that the current through Resistor b is 1/3 the current through Resistor a is to say that the current through Resistor a is 3 times the current through Resistor b.

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