Magnetic Effects Of Current Question 230

Question: Two thin, long, parallel wires, separated by a distance ?d? carry a current of ?i? A in the same direction. They will [AIEEE 2005]

Options:

A) Attract each other with a force of $ {\mu_{0}}i^{2}/(2\pi d^{2}) $

B) Repel each other with a force of $ {\mu_{0}}i^{2}/(2\pi d^{2}) $

C) Attract each other with a force of $ {\mu_{0}}i^{2}/(2\pi d) $

D) Repel each other with a force of $ {\mu_{0}}i^{2}/(2\pi d) $

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Answer:

Correct Answer: C

Solution:

$ ( \frac{F}{l} )=\frac{{\mu_{0}}}{4\pi }.\frac{2i_{1}i_{2}}{a} $

Þ $ ( \frac{F}{l} )=\frac{{\mu_{0}}}{4\pi }.\frac{2i^{2}}{d}=\frac{{\mu_{0}}i^{2}}{2\pi d} $ (Attractive)