Magnetic Effects Of Current Question 162

Question: Through two parallel wires A and B, 10 and 2 ampere of currents are passed respectively in opposite direction. If the wire A is infinitely long and the length of the wire B is 2 m, the force on the conductor B, which is situated at 10 cm distance from A will be [CPMT 1988; MP PMT 1994]

Options:

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

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

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

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

Show Answer

Answer:

Correct Answer: A

Solution:

$ F=\frac{{\mu_{0}}}{4\pi }.\frac{2i_{1}i_{2}}{a}\times l $
$ \Rightarrow F={{10}^{-7}}\times \frac{2\times 10\times 2}{(10\times {{10}^{-2}})}\times 2=8\times {{10}^{-5}}N $