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Q.

A flat square with sides of length L is described by the equation x=L, 0<y<L, 0<z<L. Find the electric flux through the square due to a positive change q located at the region (x=0,y=0,z=0)

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a

q4ϵ0

b

q6ϵ0

c

q24ϵ0

d

q48ϵ0

answer is C.

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Detailed Solution

Imagine a charge q at the corner of a cube of edge length 2L 

then the flux through the bigger cube will be ϕ=qϵ0
Here, the square is one 24th of the surface area of the imaginary cube so it intercepts 124 of the flux 

So, the flux through the square ϕ=q24ϵ0.

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