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Q.

The electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 20 V-m. The flux ( in V-m ) over a concentric sphere of radius 20 cm will be

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Detailed Solution

According to Gauss's law, total flux coming out of a closed surface enclosing charge q is given by  ϕ=E·dS=qε0

From this expression, it is clear that total flux linked with a closed surface only depends on the enclosed charge and independent of the shape and size of the surface

ϕ=E·dS=qε0=20Vm  [given)

This qε0 is constant as long as the enclosed charge is constant. 
The flux over a concentric sphere of radius 20 cm = 20 V-m.

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