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A disc of radius a//4 having a uniformly...

A disc of radius `a//4` having a uniformly distributed charge `6C` is placed in the x-y plane with its centre at `(-a//2, 0, 0)`. A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from `x=a//4` to `x=5a//4`. Two point charges `-7C` and `3C` are placed at `(a//4, -a//4, 0)` and `(-3a//4, 3a//4, 0)`, respectively. Conisder a cubical surface formed by isx surfaces `x=+-a//2`, `y=+-a//2`, `z=+-a//2`. The electric flux through this cubical surface is

A

`(-2C)/(epsilon_(0))`

B

`(2C)/(epsilon_(0))`

C

`(10C)/(epsilon_(0))`

D

`(12C)/(epsilon_(0))`

Text Solution

Verified by Experts

The correct Answer is:
A
Total charge inside cube
`=3C+(8C)/(a)xx(a)/(4)-7C=3C+2C-7C=-2C`
Flux through the surface `phi=(1)/(epsilon_(0))Q=(-2c)/(epsilon_(0))`.
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