Charge q is inside a hollow cylinder. If flux associated with its curved surface B is `phi`, then flux associated with surface A is ......

Options

A. `1/2(q/epsilon_(0)-phi)`
B. `q/(2epsilon_(0))`
C. `phi/3`
D. `q/epsilon_(0)-phi`

Answer

A

Explanation

Total flux associated with cylinder,
`phi_("total") = phi_(A) + phi_(B) + phi_(C)`
`q/epsilon_(0) =phi_(A) + phi + phi_(C)`
but `phi_(A) = phi_( C)`
`therefore q/epsilon_(0) = 2phi_(A) +phi`
`therefore phi_(A) =1/2[q/epsilon_(0)-phi]`