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:

  1. (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.