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Electric Charges And Fields

Question
CBSEENPH12037180

If the radius of the Gaussian surface enclosing a charge is halved, how does the electric flux through the Gaussian surface change?

Solution
According to Gauss's law, Electric flux ΦE is given by

ϕE = E. ds = Qε0

where Q is total charge enclosed in the closed surface. 
On changing the radius of sphere, the electric flux through the Gaussian surface remains same as the net charge enclosed within the surface is same.