Flux through a Cube (Eigure 1) A cube has one corner at the origin and the opposite corner at the point (L, L, L). The sides of the cube are parallel to the coordinate planes

Flux through a Cube (Eigure 1) A cube has one corner at the origin and the opposite corner at the point (L, L, L). The sides of the cube are parallel to the coordinate planes

asked 2021-04-25
Flux through a Cube (Eigure 1) A cube has one corner at the origin and the opposite corner at the point (L, L, L). The sides of the cube are parallel to the coordinate planes image

Answers (1)

The electric flux through left surface is,
For left surface x=0.
Th electric flux through right surface is,
For right surface x=L
The electric flux through top surface is,
The electric flux through bottom surface is,
Since there is no field along z-direction, the elcetric flux through front and back surface of the the cube must be zero.
The total electric flux through surface of the cube is,
Thus, the electric flux through surface of the cube is \(\displaystyle{b}{L}^{{3}}\)
According to Gauss law,
Thus, the net charge inside the cube is \(\displaystyle\epsilon_{{0}}{b}{L}^{{3}}\)

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