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You then have an imaginary sphere with twice the volume of the one you imagined

only moments earlier.

If the point charge is anywhere inside the smaller sphere, and the smaller sphere

is anywhere inside the larger one, then the total flux is the same through each of

them, although the average flux density through the larger one is less than the

average flux density through the smaller one.

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Q: What happens when the volume of the sphere is doubled to the total flux through a spherical gaussian surface surrounding a point charge?
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