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9 Dec 2023, Sat
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Pathshala Nepal
3 years ago Grade -11 (NEB) > Science Physics Electric Charge and Field

Electric field inside spherical conductor placed in uniform electric field.

In a region with a uniform electric field, the number of lines of force per unit area is E. If a spherical metallic conductor is placed in the area, the field inside the conductor will be 

A
Zero
B
E
C
more than E
D
less than E
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1 Answer

Pathshala Nepal
3 years ago Answer Link Tribhuvan University > Institute of Science and Technology > B.Sc. (CSIT)

Correct option : A

Explanation : The electric field inside a conductor placed on uniform electric field is Zero.

Why?

  • The free charge inside the conductor is zero.because the field in it is caused by charges on the surface. Since charges are of the same nature and distribution is UNIFORM, the electric fields cancel each other.
  • Consider a Gaussian surface inside the conductor. Charge enclosed by it is zero (charge resides only on surface). Therefore electric flux =0 Furthermore, electric flux = electric field * area. Since area cannot be zero, electric field is zero
  • Gauss's law states that the electric field flux through a closed surface is equal to the quotient of the load inside the surface divided by ϵ0

A driver is characterized by the charge carriers can move freely within it. If the charges in a conductor in equilibrium at rest, the electric field intensity in all interior points of the same must be zero, otherwise, would move the loads caused an electric current.

Within a conductor arbitrarily draw a closed surface SSS, and it follows that:

The electric field is zero, E=0 on all points of said surface.

The flow through the closed surface SSS is zero.

The net charge q on the inside of said surface is zero. As the closed surface S we can make it as small as we conclude that at any point P inside a conductor there is no excess burden, so this should be placed on the surface of the conductor.

1

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