Final answer:
The instantaneous rate of change of the volume, or the derivative of the volume with respect to time, can be found using the chain rule. The expression for the time rate of change of energy inside the capacitor in terms of V(t) and dv(t)/dt is dE/dt = V(t) * dv(t)/dt.
Step-by-step explanation:
The instantaneous rate of change of the volume, or the derivative of the volume with respect to time, can be found using the chain rule. Let V(t) represent the volume and dv(t)/dt represent the rate of change of the volume with respect to time. The expression for the time rate of change of energy inside the capacitor in terms of V(t) and dv(t)/dt is given by:
dE/dt = V(t) * dv(t)/dt
where dE/dt represents the time rate of change of energy inside the capacitor.