Question

A point charge 20.0 nC is located at the center of a cube whose sides are of length 10.0 cm. If there is no other charges in this system, what is the electric flux through one face of the cube?

Answer 1

ϕ_Net = 2258.87 Nm²/C

Step-by-step explanation:

We are given;

Charge; q = 20 nC = 20 × 10^(-9) C

Length of each side; L = 10 cm = 0.1 m

The net electric flux through one face of the cube is given by the formula;

ϕ_Net = q/ε_o

Where ε_o is a constant known as vacuum of Permittivity and has a value of 8.854 × 10^(−12) C²/N.m²

Thus;

ϕ_Net = (20 × 10^(-9))/(8.854 × 10^(−12))

ϕ_Net = 2258.87 Nm²/C