A uniform ring charge q and radius r is placed directly above a uniform sphere of charge Q and equal radius. The centre of ring is at a distance \sqrt{3} \textrm{ } r from the centre of sphere (figure). The force exerted by the sphere on the ring is

Engineering

Physics

Electric Field and Gauss Law

Question

A uniform ring charge q and radius r is placed directly above a uniform sphere of charge Q and equal radius. The centre of ring is at a distance $\sqrt{3} r$ from the centre of sphere (figure). The force exerted by the sphere on the ring is

$\frac{\sqrt{3} kQq}{8 r^{2}}$

$\frac{kQq}{4 r^{2}}$

$\frac{kQq}{8 r^{3}}$

$\frac{kQq}{4 r^{3}}$

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$F_{1} = \frac{kQq \times \sqrt{3} r}{{(r^{2} + 3 r^{2})}^{3 / 2}} = \frac{kQq \sqrt{3} r}{8 r^{2}}$

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