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Two identical north poles each of strength m are kept at vertices A and B of an equilateral triangle ABC of side a. The mutual force of repulsion between them has a magnitude of F. The magnitude of magnetic induction at C is

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F/m

$F / \sqrt{3} m$

F/3m

$\sqrt{3} F / m$

answer is A.

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Detailed Solution

$B = \frac{μ_{0}}{4 π} \frac{m}{d^{2}}, F = \frac{μ_{0}}{4 π} \frac{m_{1} m_{2}}{d^{2}}$

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