First slide

Types of charge distribution

Question

In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above is

Moderate

A
B
C
D

Solution

The sphere of total charge Q and radius R is as shown in the following figure:
For r > R, the electric field is given by
$E = \frac{kQ}{r^{2}}$
For r < R, the electric field is given by
$E = \frac{kQr}{R^{3}}$

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