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7 Feb 2010 18:33:00 IST

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How to calculate electric flux through a cube of side A, due to a point charge 'q' kept at one of it

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How to calculate electric flux through a cube of side A, due to a point charge 'q' kept at one of its vertices?

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Yagyadutt Mishra

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Joined: 19 Feb 2009

Posts: 1979

7 Feb 2010 18:47:49 IST

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Hello!!!!

For such type of Question you should know few concept of Solid state...

A spherical body kept at the corner of CUBE contribute 1/8 of its part inside the cube and 7/8 part outside.

A spherical body kept at the edge of CUBE contribute 1/4 of its part inside and 3/4 out side...

A spherical body kept at the center of CUBE contribute its whole part inside the cube.

A spherical body kept at the Faces contribute 1/2 of its part inside the cube.

Now for your Case when charge is kept at the corner...Then total flux through the cube will be only due to q/8 ...

So Flux is equal to q/8epsilon

DESTNASA

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Joined: 7 Aug 2009

Posts: 149

7 Feb 2010 18:57:40 IST

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Hello Sir, I did the flux question using exactly the same concept. But I wanted to know whether there was any mathematical proof of it?

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