First slide

Force on a current carrying wire placed in a magnetic field

Question

Two parallel wires of length 9 m each are separated by a distance 0.15 m. If they carry equal current in the same direction and exerts a total force of $30 \times 10^{- 7} N$ on each other, then the value of current must be

Moderate

A

2.5 A
B

3.5 A
C

1.5 A
D

0.5 A

Solution

$\begin{array}{l} F = 10^{- 7} \times \frac{2 i^{2}}{a} \times l \Rightarrow 30 \times 10^{- 7} = 10^{- 7} \times \frac{2 i^{2}}{0 .15} \times 9 \\ \Rightarrow i = 0 .5 A \end{array}$

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