Question 212 of 276

Two $10cm$ long, straight wires, each carrying a current of $5A$ are kept parallel to each other. If each wire experienced a force of ${10}^{-5}N$, then separation between the wires is _____ $cm.$

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Answer: 5

Given: $F={10}^{-5}N$

Force between wires $\dfrac{F}{l}=\dfrac{{\mu }_{0}{i}_{1}{i}_{2}}{2\pi d}$, where, $d$ is separation between them.
$\Rightarrow \dfrac{{10}^{-5}}{0.1}=\dfrac{2\times {10}^{-7}\times 25}{d}$
$\Rightarrow d=50\times {10}^{-3}m=5cm$

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