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Question

A dipole is placed in a shell as shown. Find the electric flux emerging out of the shell and in a hypothetical sphere of radius r as shown.
142826_a32b9a3dc0b34db8b8415ec5ed2ad0ab.png


A
2qε0,0
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B
qε0,qε0
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C
qε0,qε0
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D
0,0
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Solution

The correct option is D $$0, \, 0$$
According to the Gauss's law the electric flux  through closed surface is $$\phi=\dfrac{Q_{enclosed}}{\epsilon_0}$$  where $$Q_{enclosed}$$ is the charge inside the closed surface.
Here in both cases, $$Q_{enclosed}=+q-q=0$$
So the electric flux emerging out of the shell and in a hypothetical sphere of radius r are $$(0,0)$$

Physics

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