Electric Charges and Fields - Result Question 27

27. A hollow insulated conduction sphere is given a positive charge of 10μC. What will be the electric field at the centre of the sphere if its radius is 2 metres?

(a) zero

(b) 5μCm2

(c) 20μCm2

(d) 8μCm2

[1998]

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Answer:

Correct Answer: 27. (a)

Solution:

  1. (a) Charge resides on the outer surface of a conducting hollow sphere of radius R. We consider a spherical surface of radius r<R.

By Gauss’s theorem,

Eds=1ε0× charge enclosed

or, E.4πr2=1ε0×0E=0

i.e. electric field inside a hollow sphere is zero.

Electric field inside the charged conducting sphere or shell, Ein =0

And for uniformly charged non-conducting sphere,

Ein =14πϵ0QrR3



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