- #1

ERTW

- 1

- 0

**Electrostatics Flux Problem**

## Homework Statement

A linear charge rho L = 2.0 uC lies on the y-z plane. Find the electric flux passing through the plane extending from 0 to 1.0m in the x direction and from -infinity to infinity in the y direction.

## Homework Equations

Alright, so the formula to use is:

flux = (integral(integral)(Ds * dS)) where dS is a vector whose direction is normal to the surface element ds and has a magnitude of ds and Ds is the electric flux density passing through ds

Turns out the answer is simply 1/8 * the given line charge.

This is because the lines x = 0 and x = 1 when viewed from above make a 45 degree angle. The area enclosed here is exactly 1/8th of the entire area.

A more analytical solution would be great though.

Last edited: