First slide

Force on a current carrying wire placed in a magnetic field

Question

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

Easy

A

$2 \times 10^{- 4} N / m, attractive$
B

$2 \times 10^{- 4} N / m, repulsive$
C

$2 \times 10^{- 7} N / m, attractive$
D

$2 \times 10^{- 7} N / m, repulsive$

Solution

$F = \frac{μ_{0}}{4 π} \frac{2 i_{1} \times i_{2}}{a} = 10^{- 7} \times \frac{2 \times 10 \times 10}{0 .1} = 2 \times 10^{- 4} N / m$
Direction of current is same, so force is attractive.

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