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A long wire A carries a current of 10 A. Another long wire B, which is parallel to A and separated by 0.1 m from A, carries a current of 5 A, in the opposite direction to that in A. What is the magnitude and nature of the force experienced per unit length of B?
$(μ_{0} = 4 π \times 10^{- 7} Wb / A - m)$

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$Repulsive force of 10^{- 4} N / m$

$Attractive force of 10^{- 4} N / m$

$Repulsive force of 2 π \times 10^{- 5} N / m$

$Attractive force of 2 π \times 10^{- 5} N / m$

answer is A.

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Detailed Solution

$F = \frac{μ_{0}}{4 π} \frac{2 i_{1} i_{2}}{r} = 10^{- 7} \times \frac{2 \times 10 \times 5}{0 .1} = 10^{- 4} N / m$

(Repulsive)

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