First slide

Force on a current carrying wire placed in a magnetic field

Question

Two long parallel copper wires carry current of 5 A each in opposite directions. If the wires are separated by a distance of 0.5 m, then the force per unit length between the two wires is

Easy

A

$10^{- 5} N / m, attractive$
B

$10^{- 5} N / m, repulsive$
C

$2 \times 10^{- 5} N / m, attractive$
D

$2 \times 10^{- 5} N / m, repulsive$

Solution

$F = 10^{- 7} \times \frac{2 i_{1} \times i_{2}}{a} = 10^{- 7} \times \frac{2 \times 5 \times 5}{0 .5} = 10^{- 5} N / m$
(Repulsive)

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