Home
Class 11
PHYSICS
A positive charge q is placed in front o...

A positive charge q is placed in front of conducting solid cube at a distance d from its centre. Find the electric field at the centre of the cube due to the charges appearing on its surface.

Text Solution

Verified by Experts

Charges will be induced on the surface of the cube due to the charge q. The net electric field at the centre of the cube due to all the charge must be zero . Let `E_(1)` be the electric field due to charge appearing on the surface of the cube . If `E_(2)` is the electric field due to charge q, then .

`vec(E_(1)) + vec(E_(2)) = 0 or vec(E_(1)) - vec(E_(2)) or vec(E_(1)) = vec(E_(2))`
The electric field at the centre of the cube , due to charge q.
`E_(2) = ((1)/(4 pi in_(0))) (q)/(d^(2))`
`rArr E_(1) = ((1)/(4pi in_(0))) (q)/(d^(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A charge +q is placed at a distance 'd' from the centre of the uncharged metallic cube of side 'a'. The electric field at the centre of the cube due to induced charges on the cube will be

A positive point charge q is placed at a distance 2 R from the surface of a metallic shell of radius R. the electric field at centre of shell due to indouced charge has magnitude

A point charge q is placed at a distance d from the centre of a circular disc of radius R. Find electric flux flowing through the disc due to that charge

An isolated conducting sheet of area A and carrying a charge Q is placed in a uniform electric field E, such that the electric field is perpendicular to the sheet and covers all the sheet. Find out the charges appearing on its two surfaces.

A charge q kept in front of a neutral metallic sphere. Find the electric field at the centre of sphere due to the induced charges on the surface of the sphere shown. Strategy : The net electric field inside the conductor is zero. This is produced by induced charges and the external charge.

A charge q kept in front of a neutral metallic sphere. Find the electric field at the centre of sphere due to the induced charges on the surface of the sphere shown. Strategy : The net electric field inside the conductor is zero. Thsi is produced by induced charges and the external charge.

A point charge Q is placed outside a hollow spherical conductor of radius R , at a distance r (r gt R) from its centre C . The field at C due to the induced charges on the conductor is

Four particles each having a charge q, are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is a. Find the electric field at the centre of the pentagon.

Four particles each having a charge q are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is 'a'. Find the electric field at the centre of pentagon.

Eight equal point charges are placed at corners of a cube side length a . The potential and electric field magnitude at the centre of cube will be