Electric Charges and Fields - Result Question 14

14. A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre :

[2019]

(a) increases as r increases for r<R and for r>R

(b) zero as r increases for r<R, decreases as r increases for r>R

(c) zero as r increases for r<R, increases as r increases for r>R

(d) decreases as r increases for r<R and for r>R

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Answer:

Correct Answer: 14. (b)

Solution:

(b) Charge Q will be distributed over the surface of hollow metal sphere.

(i) For r<R (inside)

[At a point inside the hollow sphere]

By Gauss’s law, EindS=qenε0=0

As enclosed charge is =0

So, Ein =0 the electric field inside the hollow sphere is always zero.

(ii) For r>R (outside)

[At a point outside hollow sphere]

By Gauss’s law, E0dS=qenε0(Qqen=Q)

E04πr2=Qε0E01r2



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