Three infinitely charged sheets are kept parallel to $x - y$ plane having charge densities as shown. Then the value of electric field at $^{'} P^{'}$ is:

\frac{- 4 σ}{\in_{0}}^k

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\frac{4 σ}{\in_{0}}^k

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\frac{- 2 σ}{\in_{0}}^k

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\frac{2 σ}{\in_{0}}^k

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Solution

The correct option is C $\frac{- 2 σ}{\in_{0}}^k$
$E$ at $P$
$= E_{d w t o Z = 0} + E_{Z = 2 a} + E_{Z = 3 a}$
$= - \frac{σ}{2 ϵ_{o}} - \frac{2 σ}{2 ϵ_{o}} - \frac{1 σ}{2 ϵ_{o}}$
$= - \frac{4 σ}{2 ϵ_{o}}^K$
$= - \frac{- 2 σ}{ϵ_{o}}^K$

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Three infinitely charged sheets are kept parallel to x−y plane having charge densities as shown. Then the value of electric field at ′P′ is:

The correct option is C −2σ∈0^kE at P =EdwtoZ=0+EZ=2a+EZ=3a=−σ2ϵo−2σ2ϵo−1σ2ϵo=−4σ2ϵo^K=−−2σϵo^K

Three infinitely charged sheets are kept parallel to $x - y$ plane having charge densities as shown. Then the value of electric field at $^{'} P^{'}$ is:

The correct option is C $\frac{- 2 σ}{\in_{0}}^k$
$E$ at $P$
$= E_{d w t o Z = 0} + E_{Z = 2 a} + E_{Z = 3 a}$
$= - \frac{σ}{2 ϵ_{o}} - \frac{2 σ}{2 ϵ_{o}} - \frac{1 σ}{2 ϵ_{o}}$
$= - \frac{4 σ}{2 ϵ_{o}}^K$
$= - \frac{- 2 σ}{ϵ_{o}}^K$