Question 30: Electrostats & Capacitance

Question

Which one of the following graphs represents the variation of electric potential with distance r from the centre of a non-conducting charged sphere of radius R?

Accepted Answer

Electric potential at centre R = 0
V
centre
= 1.5 V
surface
where,
$${V_0} = {{kQ} \over R}$$
$${V_{inside}} = {{kQ} \over {2R}}\left( {3 - {{{r^2}} \over {{R^2}}}} \right)$$
$${V_{outside}} = {{kQ} \over r} \propto {1 \over r}$$

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Electrostats & Capacitance

Which one of the following graphs represents the variation of electric potential with distance r from the centre of a non-conducting charged sphere of radius R?

Choose the correct answer: