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Question

When a $$10\mu$$C charge is enclosed by a closed surface, the flux passing through the surface is $$\phi$$. Now another $$10\mu$$C charge is placed inside the closed surface, then the flux passing through the surface is _________.


A
4ϕ
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B
ϕ
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C
2ϕ
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D
Zero
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Solution

The correct option is C $$2\phi$$
Case 1 :
Total charge enclosed   $$Q = 10\mu C$$
Flux through the surface  $$\phi = \dfrac{Q}{\epsilon_o} = \dfrac{10\mu C}{\epsilon_o}$$
Case 2 :
Total charge enclosed  $$Q' = 10+10 = 20\mu C$$
Flux through the surface  $$\phi '= \dfrac{Q'}{\epsilon_o} = \dfrac{20\mu C}{\epsilon_o} = 2\phi$$
Correct answer is option C.

Physics

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