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Electricity and Magnetism

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Magnetic Field Between Two Wires Carrying Parallel Currents A

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The figure below shows a pair of wires carrying parallel currents $I_1$ and $I_2$. The currents are related, so that $I_2 = 2I_1$.

Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

At what value of $x_1$ is the magnetic field due to the two wires zero? Take the center of wire 1 (the left-hand wire) as the origin of the $x$-axis.

A

$x_1 = 2l$

B

$x_1 = \cfrac{l}{2}$

C

$x_1 = \cfrac{l}{3}$

D

$x_1 = \cfrac{2l}{3}$

E

$x_1 = \cfrac{l}{5}$