The magnitude of electric field `vecE` in the annular region of a charged cylindrical capacitor.

Options

A. is same throughout
B. is higher near the outer cylinder than near the inner cylinder
C. varies as 1/r where r is distance from the axis
D. varies as `1//r^(2)` where r is distance from the axis

Answer

C

Explanation

For a cylinderical condenser, the magnitude of electric field at a distance r from its axis is given by
`E=(lamda)/(2piepsi_(0)r)`, where `lamda` is the charge per unit length
`therefore Eprop(1)/(r)`.