Q. Three long, straight parallel wires, carrying current, are arranged as shown in figure. The force experienced by a 25 cm length of wire $C$ is

A) $10^{- 3}\ N$
B) $2.5 \times 10^{- 3}\ N$
C) Zero
D) $1.5 \times 10^{- 3}$
Explanation

(c) Force on wire $C$ due to wire $D.$
$F_{1} = \frac{\mu_{0}}{2\pi}\frac{I_{1}I_{2}}{r}l$ (repulsive)
$\ \ \ \ \ = 2 \times 10^{- 7} \times \frac{30 \times 10}{3 \times 10^{- 2}} \times 25 \times 10^{- 2}$
$\ \ \ \ \ = 2 \times 10^{- 7} \times 2500 = 5 \times 10^{- 4}\ N$
Force on wire $C$ due to wire $G$
$F_{2} = \frac{\mu_{0}}{2\pi}\frac{I_{1}I_{2}}{r}\ l$ (repulsive)
$\ \ \ \ \ = \frac{2 \times 10^{- 7} \times 10 \times 20}{2 \times 10^{- 2}} \times 25 \times 10^{- 2}$
$\ \ \ \ \ = 2 \times 10^{- 7} \times 2500 = 5 \times 10^{- 4}\ N$
Net force $= F_{1} - F_{2} = 5 \times 10^{- 4}\ N - 5 \times 10^{- 4}\ N = 0$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.