A large plane sheet of charge having surface charge density `5xx10^(-16) cm^(-2)` lies in XY plane. Find electric flux through a circular area of radius 1cm Given normal to the circular area makes an angle of `60^(@)` with Z-axis.

Answer

`4.44xx10^(3) Nm^(2) C^(-1)`

Explanation

Here, `sigma = 5xx10^(-6)C m^(-2), r = 0.1m`
`phi = Es cos theta = ((sigma)/(2 in_(0))) (pi r)^(2) cos theta`
`= (5xx10^(-6))/(2xx8.85xx10^(-12)) xx (22)/(7) xx (0.1)^(2) cos 60^(@)`
`phi = 4.44xx10^(3) Nm^(2) C^(-1)`