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# Need explanation for: 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 will be :

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 will be :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

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N

:    For uniformly charged sphere

As we discussed in

Graph - - wherein

The variation of  E   with distance  r   from the centre is as shown.

$E= \frac{1}{4\pi \varepsilon _{0}}\frac{Qr}{R^{3}}\: \: \left ( For\: r< R \right )$

$E= \frac{1}{4\pi \varepsilon _{0}}\frac{Q}{R^{2}}\: \: \left ( For\: r= R \right )$

$E= \frac{1}{4\pi \varepsilon _{0}}\frac{Q}{r^{2}}\: \: \left ( For\: r> R \right )$

Option 1)

Option 2)

Option 3)

Option 4)

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