Magnetic Effects Of Current Question 212

Question: A long wire A carries a current of 10 amp. Another long wire B, Which is parallel to A and separated by 0.1m from A, carries a current of 5 amp, in the opposite direction to that in A. what is the magnitude and nature of the force experienced per unit length of B $ ({\mu_{0}}=4\pi \times {{10}^{-7}},weber/amp\text{-}m) $ [MP PET 2000]

Options:

A) Repulsive force of $ {{10}^{-4}}N/m $

B) Attractive force of $ {{10}^{-4}}N/m $

C) Repulsive force of $ 2\pi \times {{10}^{-5}}N/m $

D) Attractive force of $ 2\pi \times {{10}^{-5}}N/m $

Show Answer

Answer:

Correct Answer: A

Solution:

$ F=\frac{{\mu_{0}}}{4\pi }\frac{2i_{1}i_{2}}{r}={{10}^{-7}}\times \frac{2\times 10\times 5}{0.1}={{10}^{-4}}N $ (Repulsive)



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