Quiz 3 -- Charge Distributions

Charge + Q is distributed uniformly along a line segment of length a.

1. Derive an expression for the electric field at a point P a distance r from the end of the segment.
2. Demonstrate that for points far away from the segment, this expression for the electric field behaves like that of a point charge.

Take-Home Component

A similar segment of charge - Q is joined to the segment of + Q as shown below.

3. Derive an expression for the electric field at a point P a distance r from the center of the charge distribution.
4. Demonstrate that for points far away from the charge distribution, this expression for the electric field behaves like that of a point dipole.