A hollow metal sphere of radius is uniformly charged. The electric field due to the sphere at a distance from the centre:
- AIncreases as increases for and for
- BZero as increases for , decreases as increases for
- CZero as increases for , increases as increases for
- DDecreases as increases for and for
Solution & Step-by-step Explanation
[Image showing the electric field intensity graph for a uniformly charged hollow spherical shell]Inside the sphere (): There is no enclosed charge (). According to Gauss's Law, the electric field is zero.Outside the sphere (): The field behaves as if the entire charge were concentrated at the center. . As increases, the field decreases (inverse square law).