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Q.

The force between two magnetic poles separated by a distance “d” in air is “F”. At what distance between them does the force become doubled?

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Detailed Solution

According Coulomb’s law we can write,
$\begin{array}{l} F = \frac{μ_{0}}{4 π} \frac{m_{1} m_{2}}{d^{2}} \\ \frac{F_{1}}{F_{2}} = \frac{d_{2}^{2}}{d_{1}^{2}}; \frac{F}{2 F} = \frac{d_{2}^{2}}{d^{2}} \\ \Rightarrow d_{2}^{2} = \frac{d^{2}}{2} \\ ∴ d_{2} = \frac{d}{\sqrt{2}} \end{array}$

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