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The electrostatic potential on the surfa...

The electrostatic potential on the surface of a charged concducting sphere is `100 V`. Two statements are made in this regard
`S_(1) :` at any inside the sphere, electric intensity is zero.
`S_(2) :` at any point inside the sphere, the electrostatic potential is `100 V`.

A

`S_(1)` is true but `S_(2)` is false

B

Both `S_(1)`and `S_(2)` are false

C

`S_(1)` is true, `S_(2)` is also true and `S_(1)` is the cause of `S_(2)`

D

`S_(1)` is true, `S_(2)` is also true but the statements are independent

Text Solution

Verified by Experts

The correct Answer is:
C
In this problem, the electric field intensity `E` and electric potential `V` are related as `E = - (dV)/(dr)`
Electric field intensity `E = 0` suggest that `(dV)/(dr) =0`
This imply that `V =` constant.
Thus, `E = 0` inside the charged conducting sphere causes, the same electrostatic potential `100 V` at any point inside the sphere.
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