Physics · 2019
JEE Main · 10 April 2019, Shift 1 · Q20
Two wires A & B are carrying currents I_1 & I_2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is to…
Two wires A & B are carrying currents $\displaystyle \mathrm{I}_1 \& \mathrm{I}_2$ as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance $\displaystyle x$ from A such that the net force acting on it is zero. The possible values of $\displaystyle x$ are :

Official answer
(1)
$\displaystyle x= \pm \frac{\mathrm{I}_1 \mathrm{~d}}{\left(\mathrm{I}_1-\mathrm{I}_2\right)}$
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JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.