Kirchhoff's equation for the current flow from a capacitor connected in series with an inductance and a resistance that varies with current is solved by an iterative integration scheme. The resistance of the circuit is assumed to increase during the discharge due to Joule heating. The conditions for over‐, under‐, and critical damping are derived such that a circuit can be designed that has a short risetime and a long decay time without current oscillation. The realistic nature of the circuit is verified experimentally.