First slide

Electric field

Question

An uncharged conducting large plate is placed as shown. Now an electric field E toward right is applied. Find the induced charge density on the right surface of the plate.

Moderate

A

$- ε_{0} E$
B

$ε_{0} E$
C

$- 2 ε_{0} E$
D

$2 ε_{0} E$

Solution

Net electric field at point P should be zero. For this electric field due to induced charges is equal to the applied electric field. So
$\frac{σ}{ε_{0}} = E or σ = ε_{0} E$

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