Gauss' Law Video Lessons

Concept

# Problem: Consider an insulating sphere that has a total positive charge Q distributed uniformly throughout its volume. The sphere has a radius R. In this problem you will calculate the total electric flux through The surface of a closed sphere that is concentric with the insulating sphere. A. Compute the total electric flux (not field) through a closed spherical surface with radius r &lt; R, where R is the radius of the insulating sphere. B. Compute The total electric flux (not field) through a closed spherical surface with radius r &gt; R, where R is the radius of the insulating sphere.

###### FREE Expert Solution

From Gauss's law, the electric flux is expressed as:

$\overline{){\mathbf{\varphi }}{\mathbf{=}}\frac{{\mathbf{q}}_{\mathbf{i}\mathbf{n}}}{{\mathbf{\epsilon }}_{\mathbf{0}}}}$

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###### Problem Details

Consider an insulating sphere that has a total positive charge Q distributed uniformly throughout its volume. The sphere has a radius R. In this problem you will calculate the total electric flux through The surface of a closed sphere that is concentric with the insulating sphere.

A. Compute the total electric flux (not field) through a closed spherical surface with radius r < R, where R is the radius of the insulating sphere.

B. Compute The total electric flux (not field) through a closed spherical surface with radius r > R, where R is the radius of the insulating sphere.