The electric flux on the enclosed spherical Gaussian surface is not affected by the change in radius of the spherical Gaussian surface.
The flux on the spherical Gaussian surface remains unchanged when we increase the radius of the Gaussian surface because the flux is independent of the change in radius of the surface. This can be seen in the following formula of the Gauss Law of Flux
is the electrical flux, Q is the charge on the spherical surface, is the permittivity of free space. As you can see from the formula that no mention of radius is done therefore there is no change.
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