#charge distribution

[Click here for a PDF version of this post] Motivation: explain field formulas in an engineering problem set. The following equations were given in a problem set for the magnitude of the electric field strength at a point \( z \) due to symmetric ring and disk charge distributions respectively: \begin{equation}\label{eqn:ringAndDiskField:20} E = \frac{q z}{4 \pi \epsilon_0 \lr{ z^2 + R^2 }^{3/2}…

Line charge field and potential.

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When computing the most general solution of the electrostatic potential in a plane, Jackson [1] mentions that \( -2 \lambda_0 \ln \rho \) is the well known potential for an infinite line charge (up to the unit specific factor). Checking that statement, since I didn’t recall what that potential was offhand, I encountered some…