Magnetic Effects Of Current Question 219

Question: A, B and C are parallel conductors of equal length carrying currents I, I and 2I respectively. Distance between A and B is x. Distance between B and C is also x. $ F_{1} $ is the force exerted by B on A and F2 is the force exerted by B on A choose the correct answer [Kerala PET 2001]

Options:

A) $ F_{1}=2F_{2} $

B) $ F_{2}=2F_{1} $

C) $ F_{1}=F_{2} $

D) $ F_{1}=-F_{2} $

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Answer:

Correct Answer: D

Solution:

$ F=\frac{{\mu_{0}}}{4\pi }\frac{2i_{1}i_{2}}{a} $ $ F_{1}=\frac{{\mu_{0}}}{4\pi }=\frac{2i^{2}}{x} $ (Attraction) $ F_{2}=\frac{{\mu_{0}}}{4\pi }=\frac{2i\times 2i}{2x}=\frac{{\mu_{0}}}{4\pi }\frac{2i^{2}}{x} $ (Repulsion) Thus $ F_{1}=-F_{2} $