Electric Charges and Fields - Result Question 37
37. A charge $Q$ is enclosed by a Gaussian spherical surface of radius $R$. If the radius is doubled, then the outward electric flux will
[2011]
(a) increase four times
(b) be reduced to half
(c) remain the same
(d) be doubled
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Answer:
Correct Answer: 37. (c)
Solution:
- (c) By Gauss’s theorem,
$ \phi=\frac{Q _{\text{in }}}{\epsilon_0} $
Thus, the net flux depends only on the charge enclosed by the surface. Hence, there will be no effect on the net flux if the radius of the surface is doubled.
