Rankers Physics

Electric Flux: Practice Problem & Solution

Which of the following is sufficient condition for finding the electric flux Φ through a closed surface?
If the magnitude of \( \overrightarrow{E}\) is known everywhere on the surface
If the total charge inside the surface is specified
If the total charge outside the surface is specified
Only if the location of each point charge inside the surface is specified

Solution Explained:

To solve this problem, we apply the core principles of Electric Flux. Understanding the underlying formula is key to arriving at the correct answer below:

Specifying the total charge inside the surface is a sufficient condition for finding the electric flux \( \Phi \) through a closed surface.

According to Gauss's law:
\[
\Phi = \frac{q_{\text{enclosed}}}{\varepsilon_0}
\]

The flux depends only on the enclosed charge \( q_{\text{enclosed}} \), regardless of the surface's shape or the charge distribution.

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