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Question: A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm fr...

A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×103NC−11.2 \times 10^{3}NC^{- 1}and points radially inwards. The net charge on the sphere is.

A

−4.5×10−9C- 4.5 \times 10^{- 9}C

B

4.5×109C4.5 \times 10^{9}C

C

−5.3×10−9C- 5.3 \times 10^{- 9}C

D

5.3×109C5.3 \times 10^{9}C

Answer

5.3×109C5.3 \times 10^{9}C

Explanation

Solution

As per Gauss’s theorem in electrostatics, the electric flux through as surface depends only on the amount of charge enclosed by the surface. It does not depend on size and shape of the surface. Therefore, electric flux through the surface is the same for all figures.