Consider a sphere of radius R and cylinder of length L. If both have same charge density `sigma` and `E_(s) and E_(c)` are electric intensity at a point at a distance r from axis of sphere and cylinder respectively, then `E_(s)` equal to

Options

A. `(E_(c)R)/r`
B. `(E_(c)r)/R`
C. `(2E_(c)r)/R`
D. `(E_(c)r)/(2R)`

Answer

A

Explanation

`E_(c)/E_(s)=((sigmaR)/(in_(0)kr))/((sigmaR^(2))/(in_(0)kr^(2)))`
`E_(c)/E_(s)=R/rxxr^(2)/R^(2)=r/R`
`thereforeE_(s)=(E_(c)*R)/r`