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Question 14

The given graph shows variation (with distance r from centre) of:

For a conducting or non-conducting uniformly charged spherical shell of radius $$r_0$$ and total charge $$Q$$:

Inside the shell ($$r \le r_0$$): $$V_{\text{in}} = \frac{kQ}{r_0} = \text{Constant}$$

Outside the shell ($$r > r_0$$): $$V_{\text{out}} = \frac{kQ}{r} \implies V \propto \frac{1}{r}$$

The graph displays a constant non-zero value from $$r = 0$$ to $$r = r_0$$, followed by a hyperbolic decay ($$1/r$$) for $$r > r_0$$. Hence, it displays the potential of a uniformly charged spherical shell

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