Question

An infinitely large charged plane of charge density $\sigma$ cuts through a spherical surface as shown. Find the flux through the spherical surface.

• A. $\frac{\pi \sigma (R^2-x^2)}{{\epsilon }_0}$
• B. $\frac{\pi \sigma \sqrt{(R^2-x^2)}}{{\epsilon }_0}$
• C. $\frac{\pi \sigma (R-x)}{{\epsilon }_0}$
• D. $\frac{\pi \sigma x^2}{{\epsilon }_0}$

Answer 1

The correct option is A $\frac{\pi \sigma (R^2-x^2)}{{\epsilon }_0}$