First slide
Electric flux
Question

A flat, square surface with sides of length L is described by the equations x=L,0yL,0zL

The electric flux through the square due to a positive point charge q located at the origin (x = 0, y = 0, z = 0) is

Moderate
Solution

Imagine a charge q at the center of a cube of edge length 2L (figure). 

Then ϕ=q/ε0 

Here, the square is 1/24 of the surface area of the imaginary cube, so it intercepts 1/24 of the flux. That is, Φ=q24ε0

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