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Question

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 25 N-m2/C. The flux over a concentric sphere of radius 20 cm will be

A
75 N-m2/C
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B
25 N-m2/C
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C
100 N-m2/C
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D
50 N-m2/C
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Solution

The correct option is B 25 N-m2/C

Electric flux through a spherical surface,
Φ=25 N-m2/C

Radius of spherical surface, r=10 cm

Radius of concentric spherical surface, R=20 cm


We know that, electric flux through a spherical surface,

ϕ=q0

From the above expression we can say that electric flux is independent of radius.

Therefore, the flux over a concentric sphere of radius 20 cm will be equal to flux through spherical surface of radius 10 cm

ϕ=25 N-m2/C

So, option (a) is correct.

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