First slide

Force on a current carrying wire placed in a magnetic field

Question

Two long and parallel wires are at a distance of 0.1 m and a current of 5 A is flowing in each of these wires. The force per unit length due to these wires will be

Easy

A

$5 \times 10^{- 5} N / m$
B

$5 \times 10^{- 3} N / m$
C

$2.5 \times 10^{- 5} N / m$
D

$2.5 \times 10^{- 4} N / m$

Solution

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

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