Gauss' Law with Calculus Video Lessons

Concept

Problem: The electric field is constant over each face of the cube shown in the figure (Figure 1) .Does the box contain positive charge, negative charge, or no charge?

FREE Expert Solution

Gauss' law:

$\overline{){\mathbf{\varphi }}{\mathbf{=}}{\mathbf{\oint }}{\mathbf{E}}{\mathbf{·}}{\mathbf{d}}{\mathbf{A}}{\mathbf{=}}\frac{{\mathbf{q}}_{\mathbf{e}\mathbf{n}\mathbf{c}\mathbf{l}\mathbf{o}\mathbf{s}\mathbf{e}\mathbf{d}}}{{\mathbf{\epsilon }}_{\mathbf{0}}}}$

Take field out of the box as positive and field into the box as negative, because electric field originates from a positive charge and ends at a negative charge.

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Problem Details

The electric field is constant over each face of the cube shown in the figure (Figure 1) .

Does the box contain positive charge, negative charge, or no charge?