(B) For a hollow metal sphere,the charge resides only on the outer surface.According to Gauss's Law,for any point inside the sphere $(r < R)$,the encl

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zero as $r$ increases for $r R$

(B) For a hollow metal sphere,the charge resides only on the outer surface.According to Gauss's Law,for any point inside the sphere $(r For any point outside the sphere $(r > R)$,the sphere acts as a point charge located at the centre. The electric field is given by $E = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2}$,which means $E \propto \frac{1}{r^2}$.As $r$ increases for $r > R$,the value of $E$ decreases.Thus,the electric field is zero for $r R$.

Class 12 Physics Electric Charges and Fields Electric Field and usage of Gauss's Law

Medium

$A$ hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre is:

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A
increases as $r$ increases for $r < R$ and for $r > R$
B
zero as $r$ increases for $r < R$,decreases as $r$ increases for $r > R$
C
zero as $r$ increases for $r < R$,increases as $r$ increases for $r > R$
D
decreases as $r$ increases for $r < R$ and for $r > R$

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Electric Charges and Fields

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Electric Field and usage of Gauss's Law

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$A$ hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre is:

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