A hollow metal sphere of radius is uniformly charged. The electric field due to the sphere at a distance from the centre [2019]

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Q.
A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre [2019]

1 decreases as $r$ increases for $r < R$ and for $r > R$

2 increases as $r$ increases for $r < R$ and for $r > R$

3 zero as $r$ increases for $r < R$ , decreases as $r$ increases for $r > R$

4 zero as $r$ increases for $r < R$ , increases as $r$ increases for $r > R$

Ans.
(3)

In a uniformly charged hollow conducting sphere,

(i) For $r < R,$ $\vec{E} = 0$

(ii) For $r > R$ , $\vec{E} = \frac{1}{4 π ε_{0}} \frac{Q}{| {\vec{r}}^{2} |} \hat{r}; \vec{E} decreases$

Solution

Q.
A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre [2019]

1 decreases as $r$ increases for $r < R$ and for $r > R$

2 increases as $r$ increases for $r < R$ and for $r > R$

3 zero as $r$ increases for $r < R$ , decreases as $r$ increases for $r > R$

4 zero as $r$ increases for $r < R$ , increases as $r$ increases for $r > R$

Ans.
(3)

In a uniformly charged hollow conducting sphere,

(i) For $r < R,$ $\vec{E} = 0$

(ii) For $r > R$ , $\vec{E} = \frac{1}{4 π ε_{0}} \frac{Q}{| {\vec{r}}^{2} |} \hat{r}; \vec{E} decreases$

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Solution

Q. A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre [2019]

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

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

3 zero as r increases for r<R, decreases as r increases for r>R

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

Ans. (3) In a uniformly charged hollow conducting sphere, (i) For r<R, E→=0 (ii) For r>R, E→=14πε0Q|r→2|r^ ; E→ decreases

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Q.
A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre [2019]

1 decreases as $r$ increases for $r < R$ and for $r > R$

2 increases as $r$ increases for $r < R$ and for $r > R$

3 zero as $r$ increases for $r < R$ , decreases as $r$ increases for $r > R$

4 zero as $r$ increases for $r < R$ , increases as $r$ increases for $r > R$

Ans.
(3)

In a uniformly charged hollow conducting sphere,

(i) For $r < R,$ $\vec{E} = 0$

(ii) For $r > R$ , $\vec{E} = \frac{1}{4 π ε_{0}} \frac{Q}{| {\vec{r}}^{2} |} \hat{r}; \vec{E} decreases$