First slide

Conductors and insulators

Question

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

Moderate

A

decreases as r increases for r < R and for r > R
B

increases as r increases for r < R and for r > R
C

zero as r increases for r < R decreases as r increases for r > R
D

zero as r increases for r < R increases as r increases for r > R

Solution

In a uniformly charged hollow conducting sphere,
$(i) For r < R, \vec{E} = 0 (ii) For r > R, \vec{E} = \frac{1}{4 {πε}_{0} |{\vec{r}}^{2}|} \hat{r}; ∴ \vec{E} decreases .$

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