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Three uncharged conducting large plates ...

Three uncharged conducting large plates are placed parallel to each other in a uniform electric field. Find

the induced charge density on surface 1

A

`epsilon_(0)E`

B

`-epsilon_(0)E`

C

zero

D

can't be found

Text Solution

Verified by Experts

The correct Answer is:
B
Let charge densities are induced as shown.
Electric field at points A, B, C should be zero.
Let us take point A:
Electric field at A due to plates K and L will be zero, because net charge on these plates is zero. So for field at A to be zero.
Electric field at A due to plate J = applied field

`implies (sigma)/(epsilon_(0))=Eimpliessigma=epsilon_(0)E`
Similarly we can find for B and C.
Hence, induced charge density on surface .1. is
`-sigma=-epsilon_(0)E`
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