Magnetic Effects Of Current Question 166

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 [CPMT 1977]

Options:

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 $

Show Answer

Answer:

Correct Answer: A

Solution:

$ F=\frac{{\mu_{0}}}{4\pi }\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 $