Gauss' Law Video Lessons

Concept

# Problem: A 10 nC point charge is at the center of a 4m x 4m x 4m cube. What is the electric flux through the top surface of the cube?

###### FREE Expert Solution

In this problem, we're going to use Gauss's law to get the net electric flux.

From Gauss's law:

$\overline{)\begin{array}{rcl}{\mathbf{\varphi }}_{\mathbf{n}\mathbf{e}\mathbf{t}}& {\mathbf{=}}& \mathbf{\int }\mathbf{E}\mathbf{·}\mathbf{d}\mathbf{A}\mathbf{=}\frac{\mathbf{Q}}{{\mathbf{\epsilon }}_{\mathbf{0}}}\end{array}}$

Charge, Q = 10 nC = 10 × 10-9 C

ε0 = 8.85 × 10-12 C2/Nm2

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###### Problem Details

A 10 nC point charge is at the center of a 4m x 4m x 4m cube. What is the electric flux through the top surface of the cube?