Representation 9.6.1. Charge Diagram.
A charge diagram shows a simple picture of an object with small \(+\) and \(-\) labels indicating where charge is present, what type of charge is present, and where the charge density is greatest and smallest.
Section 9.6 Charge Diagrams
Exercises Activities
1.
Shown above is a charge diagram for a disc. Indicate the location with the greatest charge density.
2.
Make a charge diagram for each of the following charge densities. What is the purpose of the various constants in these expressions?
- \(\lambda(x) = +\lambda_1 \frac{x}{L}\) between \(x=-L\) and \(x=+L\)
- \(\lambda(y) = \frac{+q_2}{y}\) between \(y=0\) and \(y=\infty\)
- \(\sigma(s,\theta) = +\sigma_3 \frac{s^2}{R^2}\) between \(s=0\) and \(s=R\text{,}\) where \(s\) is the radial distance from the origin.
