Hence, the energy delivered to the capacitor over an interval of time fromto
will be:
From this derivation it can be seen that the change in energy only depends on the value of the capacitor voltage at times
and
and not on the specific voltage waveform in the interval (the voltage variation over time). The instantaneous energy
of a capacitor is defined as:
assuming that a capacitor with zero voltage has zero energy.
Hence, the energy delivered to the inductor over an interval of time fromto
will be:
From this derivation it can be seen that the change in energy only depends on the value of the inductor current at times
and
and not on the specific current waveform in the interval. The instantaneous energy
of an inductor is defined as:
assuming that an inductor with zero current has zero energy.