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How to Visualize Electric Fields

The electric ...

Question

The electric field inside a spherical shell of uniform surface charge density is

A

Zero

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B

Constant, less than zero

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C

Directly proportional to the distance from the centre

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D

None of the above

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Solution

The correct option is A Zero
All charge resides on the outer surface so that according to Gauss law, electric field inside a shell is zero.

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Similar questions

Q. Consider a thin spherical shell of radius

R

consisting of uniform surface charge density

σ

. The electric field at a point of distance

x

from its centre and outside the shell is

Q. A spherical conducting shell of inner radius

r_{1}

and outer radius

r_{2}

has a charge Q.

(a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

(b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

Q. Electric field intensity inside a uniformly charged spherical shell

Q. A spherical shell has uniform charge density

8.8 \times 10^{- 11} C / m^{2}

. If a pin hole is made in the surface of the shell then electric field in the hole in N/C is :

ϵ_{0} = 8.8 \times 10^{- 12}

Q. Using Gauss's law derive an expression for the electric field intensity due to a uniform charged thin spherical shell at a point.
(i) Outside the shell
(ii) Inside the shell

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