Home
Class 12
PHYSICS
A uniform electric field in positive x-d...

A uniform electric field in positive `x`-direction on exists in space. An uncharged solid conducting sphere is now placed in region of this uniform electric field. The centre of this sphere of radius `R` lies at origin. Then electric potential at any point on `y-z` plane (i.e. `x=0` plane) due to only induced charged on surface of sphere.

A

will be positive

B

will be negative

C

will be zero

D

may be positive, zero or negative

Text Solution

Verified by Experts

The correct Answer is:
C
The induced charge on conducting sphere are symmetrical with respect to `yz` plane as shown. The induced charge is equivalent to a dipole along `x`- axis and `y-z` plane is the equatorial plane of dipole. Therefore potential at each point on `y-z` plane due to induced charges is zero.
Promotional Banner

Similar Questions

Explore conceptually related problems

In going from the surface of a charged conducting sphere towards the centre of the sphere the electric field

A hollow insulated conducting sphere is given a positive charge of 10 mu C . What will be the electric field at the centre of the sphere it is radius is 2 metres ?

A solid conducting sphere of radius r is having a charge of Q and point charge q is a distance d from the centre of sphere as shown. The electric potential at the centre of the solid sphere is :

A nonconducting sphere of radius R is filled with uniform volume charge density -rho . The center of this sphere is displaced from the origin by vecd . The electric field vecE at any point P having position vector inside the sphere is

A conducting sphere of radius R is given a charge Q . The electric potential and the electric field at the centre of the sphere respectively are

In the above problem, find the electric field and electric potential at the centre of the sphere due to induced charges on the sphere?

There is a solid non-conducting sphere of radius R. Sphere is uniformly charged over the volume. Electric field due to this where in observed.

A charge Q is distribution over a metal sphere of radius R. What is the electric field and electric potential at the centre ?

A hollow insulated conducting sphere of radius 2m, is given a charge of 5 muC . What will be the electric field at the centre of the sphere?