Wire $A$ is twice as long as wire $B$ but is otherwise identical. Both have the same potential difference between their ends. How do the currents flowing in these wires compare?
A) $I_{A}=4 I_{B}$
B) $I_{A}=2 I_{B}$
C) $I_{A}=I_{B}$
D) $I_{A}=(\mathbf{1} / 2) I_{B}$
E) $I_{A}=(1 / 4) I_{B}$
F) Other (specify)
G) It is impossible to say given the provided information.

Question

Quizplus · Accepted Answer

The resistance of a wire is proportional to its length. Since wire $A$ is twice as long as wire $B$, its resistance is twice as much. With the same potential difference, the current $I$ is inversely proportional to resistance, so $I_{A} = (1/2) I_{B}$.

Wire AAA Is Twice as Long as Wire BBB But Is Otherwise Identical

Wire $A$ Is Twice as Long as Wire $B$ But Is Otherwise Identical