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A circular plane sheet of radius 10 cm i...

A circular plane sheet of radius 10 cm is placed in a uniform electric field of `5xx10^(5) NC^(-1)`, making an angle of `60^(@)` with the field. Calculate electric flux through the sheet.

A

`1.36xx10^(2)Nm^(2)C^(-1)`

B

`1.36xx10^(4)Nm^(2)C^(-1)`

C

`0.515xx10^(2)Nm^(2)C^(-1)`

D

`0.515xx10^(4)Nm^(2)C^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B

Here, r = 10 cm = 0.1 m, `E=5xx10^(5)NC^(-1)`
As the angle between the plane sheet and the electric field is `60^(@)`, angle made by the normal to the plane sheet and the electric field is `theta=90^(@)-60^(@)=30^(@)`
`phi_(E)=EScostheta=Exxpir^(2)costheta`
`=5xx10^(5)xx3.14xx(0.1)^(2)cos30^(@)=1.36xx10^(4)Nm^(2)C^(-1)`
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