Home
Class 12
PHYSICS
A cube of side 'a' has point charges +Q ...

A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is -Q. The electric field at the centre of cube is :

A

`(2Q)/(3sqrt(3)piepsilon_(0)a^(2))(hatx+haty+hatz)`

B

`(-Q)/(3sqrt(3)piepsilon_(0)a^(2))(hatx+haty+hatz)`

C

`(-2Q)/(3sqrt(3)piepsilon_(0)a^(2))(hatx+haty+hatz)`

D

`(Q)/(3sqrt(3)piepsilon_(0)a^(2))(hatx+haty+hatz)`

Text Solution

Verified by Experts

The correct Answer is:
C
We can replace `-Q` charge at origin by `+Q` and `-2Q`. Now due to `+Q` charge at every corner of cube. Electric field at center of cube is zero so now net electric field at center is only due to `-2Q` charge at origin
`vecE=(kqvecr)/(r^(3))=(1(-2Q)(a)/(2)(hatx+haty+hatz))/(4piepsilon_(0)((a)/(2)sqrt(3))^(3))`
`vecE=(-2Q(hatx+haty+hatz))/(3sqrt(3)pia^(2)epsilon_(0))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the center of the cube.

Given a cube with point charges q on each of its vertices. Calculate the force exerted on any of the charges due to rest of the 7 charges.

Five equal charges each of value q are placed at the corners of a regular pentagon of side a. The electric field at the centre of the pentagon is

A point charge q is kept at a corner of a cube

A cube is given and it has -q charge in one corner and +q charges in all the remaining 7 corners. Find the electric field at the center of the cube

Eight identical point charges of q coulomb each are placed at the corners of a cube side 0.1m. Calculate electric field at the centre of the cube. Calculate the field at the center when one of the corner charges is removed.

Five point charge ( +q each) are placed at the five vertices of a regular hexagon of side 2a .what is the magnitude of the net electric field at the centre of the hexazon?

The point charges Q and -2Q are placed at some distance apart. If the electirc field at the location of Q is E , the electric field at the location of -2Q will be