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Question

If the flux of the electric field through a closed surface is zero:



A
the electric field must be zero everywhere on the surface
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B
the electric field must not be zero everywhere on the surface
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C
the charge inside the surface must be zero
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D
the charge in the vicinity of the surface must be zero
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Solution

The correct option is D the charge inside the surface must be zero
Gauss law:
$$\phi=$$$$\oint E\cdot da=\dfrac {q_{enclosed}}{\varepsilon_0}$$
Given that the flux through the closed surface is zero.
$$\therefore q_{enclosed}=0$$

Physics

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