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A Gausian sphere of radius r intercepts ...

A Gausian sphere of radius r intercepts a line with a uniform charge density +1 as shown. The line is at a distance `root 3'r/2 from the centre of the sphere. What is the electric flux associated with the Gaussian sphere?

A

`(r lamda)/(epsilon_(0))`

B

`(sqrt(3) r lamda)/(2 epsilon_(0))`

C

`(sqrt(3)r lamda)/(epsilon_(0))`

D

`( r lamda)/(2 epsilon_(0))`

Text Solution

Verified by Experts

The correct Answer is:
A
The chord length by geometry is r. The charge enclosed is `r lamda`.
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