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Three infinite long charged sheets of ch...

Three infinite long charged sheets of charge densities `-sigma,-2sigma and sigma` are placed parallel to,y-plane at z= 0, z= a, z= 3a. Electric field at point Pis given as :

A

`(-2sigma)/(epsilon_(0))hatk`

B

`(2sigma)/(epsilon_(0))hatk`

C

`(-4sigma)/(epsilon_(0))hatk`

D

`(4sigma)/(epsilon_(0))hatk`

Text Solution

Verified by Experts

The correct Answer is:
a
the electric field due to infinite sheet of charge density `sigma` is uniform that is distance independent so at point P by principle of superposition of electric field.
`vecE_(p)=(sigma)/(2epsilon_(0))(-hatk)+(2sigma)/(2epsilon_(0))(-hatk)+(sigma)/(2epsilon_(0))(-hatk) " or vecE_(p)=(-2sigma)/(epsilon_(0)).hatk`
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