Magnetic Effects Of Current Question 440

Question: Through two parallel wires A and B, 10A and 2A of currents are passed respectively in opposite directions. If the wire A is infinitely long and the length of the wire B is 2m, then force on the conductor B, which is situated at 10 cm distance from A, will be

Options:

A) $ 8\times {{10}^{-7}}N $

B) $ 8\times {{10}^{-5}}N $

C) $ 4\times {{10}^{-7}}N $

D) $ 4\times {{10}^{-5}}N $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ F=\frac{{\mu_{0}}}{4\pi },\frac{2I_{1}I_{2}}{r}\times \ell $ $ =\frac{{{10}^{-7}}\times 2\times 10\times 2}{0.1}\times 2=8\times {{10}^{-5}}N $