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What is the flux through a cube of side ...

What is the flux through a cube of side `'a'` if a point charge of `q` is at one of its corner :

A

`(2q)/(epsi_(0))`

B

`(q)/(8epsi_(0))`

C

`(q)/(epsi_(0))`

D

`(q)/(2epsi_(0))6a^(2)`

Text Solution

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The correct Answer is:
B

For this we have to imagine that the charge q is placed at the centre of a large cube which is formed by 8 identical cubges, proper arranged.
by gauss's theorem,
`therefore`Total flux `phi` through the bigger cube`=(q)/(epsi_(0))`
`therefore`Flux through one small cube`=(q)/(8epsi_(0))`
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