By Team Aakash Byju's | 16th January 2023

?

If ∮ s^vec E.vec ds = 0 over a surface, then

The electric field inside the surface and on it is zero

A

B

C

D

All charges must  necessarily be outside the surface

The electric field inside  the surface is necessarily uniform

All the above

Your options are:

Detailed Explanation

The correct answer is

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option B. All charges must necessarily be outside the surface.

In the given equation, E is the electric field and ds is the small surface vector.

The integration of dot product   ∮ E . ds represents the flux.

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ds

ds

E

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θ

Since, it is given that ∮  E . ds = 0

Also, we know that ∮  E . ds =

Where q is the charge enclosed by the surface and ε is the constant.

S

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q

ε

0

0

Thus , when ∮  E . ds = 0 , q= 0

So, the net charge enclosed by the surface S must be zero. So if any charges exist, they must be outside of the surface.

Thus, option B is correct.

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