A parallel plate capacitor is made of two circular plates separated by a distance 5mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is `3xx10^4V//m` the charge density of the positive plate will be close to:

Options

A. `3xx10^(4) C//m^(2)`
B. `6xx10^(4) C//m^(2)`
C. `6xx10^(-7) C//m^(2)`
D. `3xx10^(-7) C//m^(2)`

Answer

C

Explanation

`E = (sigma)/(K in_(0))` or `sigma = K in_(0) E`
`= 2.2xx (8.85xx10^(-12))xx(3xx10^(4))`
`= 6xx10^(-7) C//m^(2)`