A charge Q = 18.3 ?C sits somewhere inside a cube of side length l = 1.8 cm. Par

Question

A charge Q = 18.3 ?C sits somewhere inside a cube of side length l = 1.8 cm.

Part (a) What is the electric flux in Nm2/C through the surface of the cube?

Part (b) Now assume the charge is at the very center of the cube. What is the flux through one of the faces, in Nm2/C?

Part (c) A regular polyhedron is a three-dimensional object whose faces are all identical regular polygons - that is, all their angles and edges are the same. A cube is an example for n = 6 faces. If we put our charge at the center of a regular polyhedron with n faces, give an expression for the flux through a single face.

Explanation / Answer

a)   flux = 18.3 * 10^(-6) /8.84 *10^(-12)

              =2.07 *10^(6)

b) flux becomes 1/6 times   = 0.345 *10^(6)

c) flux becomes 1/n times

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