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A closed surface contains the following point charges: 8C, 2C, -2C, and -12C. The net electric...

A closed surface contains the following point charges: 8C, 2C, -2C, and -12C. The net electric flux coming out of the surface is?

Answer:  4 C/eo

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Answer #1

Answer: We know that charges are additive, i.e., total charge on a body is equal to the algebraic sum of the charges located at different positions of the body.

We are given that the closed body encloses charges +8C, +2C, -2C and -12C.

Total charge enclosed = 8C + 2C - 2C -12C

= - 4C

Gauss's theorem states that the total flux passing through a closed surface is equal to (1/Eo) times the total charge enclosed by that surface in vaccum.

Electric Flux = q / Eo

= - 4 C/ Eo

Now, electric flux is the total number of electric field lines crossing a surface normally. And negative sign indicates that Electric field E is antiparallel to area vector dS, that is, electric field lines are directed into the surface.

Magnitude of flux is 4C / Eo.

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