A point charge q is placed at P(0,0,a). THe electric flux through a surface subtended by A(0,a,0), B(a,0,0) and C(a,a,0) due to the electric field of q is??

Question

Apoorva Arora · Answer

If we make a cube of side a from the origin, the surface subtended by A,B,C forms a face of the cube and the charge q sits on one of the edges. We assume an arrangements of cube, then, q is shared with 8 cubes which form a closed surface.

Therefore,

according to gauss law,

$Flux=\frac{q}{\epsilon _{0}}$

so flux through one of the cube $=\frac{q}{8\epsilon _{0}}$

and hence through one of the faces of the cube $=\frac{q}{48\epsilon _{0}}$

Thanks and Regards

Apoorva Arora

IIT Roorkee

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A point charge q is placed at P(0,0,a). THe electric flux through a surface subtended by A(0,a,0), B(a,0,0) and C(a,a,0) due to the electric field of q is??

A point charge q is placed at P(0,0,a). THe electric flux through a surface subtended by A(0,a,0), B(a,0,0) and C(a,a,0) due to the electric field of q is??

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