Question

$QUESTION$
Three infinitely long charge sheets are placed as shown in the figure. The electric field at point P is going to be

Answer 1

$\huge\tt\red{A}\tt\pink{N}\tt\blue{S}\tt\green{W}\tt\purple{E}\tt\orange{R}$

Electric field due to the charged sheet is E= σ/2ε0​

Away from the if the charge is positive and towards the sheet if the charge is negative.

Let the sheet be A,B,C

Electric field at a point in between the sheets B and C is :

Electric field due to A is E= σ/2ε0​ towards A 

electric field due to B towards B is 2(E=σ/2ε0​​)

Therefore, electric field due to C is E=σ/2ε0​ away from C 

Net electric field 

=σ/2ε0​​(1+2+1)=4(σ/2ε0​)

=2σ/ε0

And along the z-axis along unit vector k^

=2σ/ε0 k^

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Answer 2

Answer is in the attachment