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Two parallel wires in free space are 10 cm apart and each carries a current of 10 A in the same direction. The force one wire exerts on the other per metre of length is

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$2 \times 10^{–7} N/m, repulsive$

$2 \times 10^{–4} N/m, attractive$

$2 \times 10^{–7} N/m, attractive$

$2 \times 10^{–4} N/m, repulsive$

answer is A.

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Detailed Solution

Force between two parallel conductors

$\frac{F}{l} = \frac{μ_{0}}{2 π} \frac{i_{1} i_{2}}{d} = 2 \times 10^{- 7} (\frac{100}{10^{- 1}})$

$\frac{F}{l} = 2 \times 10^{- 4} N / m same direction of current force is attractive$

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