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An infinite, uniformly charged sheet wit...

An infinite, uniformly charged sheet with surface charge density `sigma` cuts through a spherical Gaussian surfance of radius `R` at a distance `X` from its center, as shown in the figure. The electric flux `Phi` through the Gaussian surfce is .

A

` (pi R^2 sigma)/(varepsilon_0)`

B

`(pi (R-x)^2 sigma)/(varepsilon_0)`

C

`(pi (R-x)^2sigma)/(varepsilon_0)`

D

`(pi(R^2-x^2)sigma)/(varepsilon_0)`

Text Solution

Verified by Experts

The correct Answer is:
D
` sum q = sigma pi (sqrt( R^2x^2))^2`

` sum q = sigma pi (R^2 - x^2)`
` phi = (sumq)/(in_0) rArr phi = (sigma pi (R^2-x^2))/(in_0)`.
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