A large charged non-conducting sheet having surface charge density +σ coul / m2, is placed to the left of an uncharged matallic plate P as shown in figure. Then the inducted surface charge density on the right face of the plate P is
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a
σ
b
σ/2
c
σ/4
d
2σ
answer is B.
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Detailed Solution
Field at a point inside the pate P is zero.∴σ'2∈0+σ'2∈0-E=0 ⇒σ'=∈0E=∈0σ2∈0=σ2