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A large plane sheet of charge having sur...

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.

A

`5.26xx10^(-9) Nm^(2) C^(-1)`

B

`zero`

C

`4.44xx10^(-9) Nm^(2) C^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `sigma = 5xx10^(-16) cm^(-2), phi = ?`
`r = 1 cm = 10^(-2) m, theta = 60^(@)`
`theta = E (Delta S) cos theta = ((1)/(2 in_(0))) pi r^(2) cos 60^(@)`
`= (5xx10^(-16)xx3.14(10^(-2))^(2)xx1//2)/(2xx8.85xx10^(-12))`
`4.44xx10^(-9) Nm^(2) C^(-1)`
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