Critical step response of a galvanometer
= Critical step response of a galvanometer
For $\ddot\theta+2\omega_0\dot\theta+\omega_0^2\theta=F$ switched on from rest, $\theta(t)=(F/\omega_0^2)[1-(1+\omega_0t)e^{-\omega_0t}]$. <critical damping> is the fastest nonoscillatory <step response> at fixed <natural frequency> within the ordinary second-order model.