Introduction to Electrodynamics · Problem 10.3

Potentials and Fields — David J. Griffiths

Physics · gauge-transformation-fields

Problem

(a) Find the fields, and the charge and current distributions, corresponding to V(r,t)=0,A(r,t)=−14πϵ0qtr2r^.V(\mathbf{r},t) = 0, \quad \mathbf{A}(\mathbf{r},t) = -\frac{1}{4\pi\epsilon_0}\frac{qt}{r^2}\hat{\mathbf{r}}. (b) Use the gauge function λ=−(1/4πϵ0)(qt/r)\lambda = -(1/4\pi\epsilon_0)(qt/r) to transform the potentials, and comment on the result.

Related theory

Browse the problem library