Magnetic Effects Of Current Question 200

Question: Two parallel wires in free space are 10 cm apart and each carries a current of 10 A in the same direction. The force one wire exerts on the other per metre of length is [CBSE PMT 1997; AFMC 1999]

Options:

A) $ 2\times {{10}^{-4}}N $ , attractive

B) $ 2\times {{10}^{-4}}N $ , repulsive

C) $ 2\times {{10}^{-7}}N $ , attractive

D) $ 2\times {{10}^{-7}}N $ , repulsive

Show Answer

Answer:

Correct Answer: A

Solution:

$ F=\frac{{\mu_{0}}}{4\pi }\frac{2i_{1}i_{2}}{a}={{10}^{-7}}\times \frac{2\times 10\times 10}{0.1}=2\times {{10}^{-4}}N $ Direction of current is same, so force is attractive.