Taking the divergence of this relation leads to a statement which, according to Noether's theorem, is implied by gauge invariance. In its original form, it was inconsistent with the action of charging
Taking the divergence of this relation leads to a statement which, according to Noether's theorem, is implied by gauge invariance. In its original form, it was inconsistent with the action of charging capacitors, so a term proportional to the time derivative of the electric field, known as the displacement current, was added. The steady-state integral form is more useful in situations with high degrees of symmetry than the equivalent Biot-Savart Law. For 10 points, name this member of the Maxwell equations that gives the magnetic field circulating around a current.
Taking the divergence of this relation leads to a statement which, according to Noether's theorem, is implied by gauge invariance.
{Ampere's} Law