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Two infinite planes each with uniform su...

Two infinite planes each with uniform surface charge density `+sigma` are kept in such a way that the angle between them is 60°. The electric field in the region shown between them is given by

A

`(sigma)/(4 epsilon_(0)) (hat(j) - sqrt(3) hat(i))`

B

`(sigma)/(32 epsilon_(0)) [(1 + sqrt(3)) hat(j) - (hat(i))/(2)]`

C

`(sigma)/(12 epsilon_(0))[1 + sqrt(3)) hat(i) + (hat(i))/(2)]`

D

`(sigma)/(22 epsilon_(0)) [(1 - (sqrt(3))/(2)) hat(j) - (hat(i))/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
`overline(E ) = - (sigma)/(2 epsilon_(0)) cos^(@) hat(i) + [(sigma)/(2epsilon_(0)) - (sigma)/(2 epsilon_(0)) sin 30^(@)] hat(j)`
`overline(E ), = (- sqrt(3) sigma)/(4 epsilon_(0)) hat(i) + (sigma)/(4 epsilon_(0)) hat(j)`
`overline(E ) = (sigma)/(4 epsilon_(0)) hat(j) - (sqrt(3) sigma)/(4 epsilon_(0)) hat(i)` , `overline(E ) = (sigma)/(4 epsilon_(0)) [hat(j) - sqrt(3) hat(i)]`
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