In this circuit there are several things required like the inductor and diode current, and the average power of the inductor, but what does really puzzle me is how can calculate the zener average power? ]1
simulate this circuit – Schematic created using CircuitLab
I understand that the average power of any inductor is zero, but I don't know for the zener. The inductor current is
$$i_{L}=\frac{1}{L}\int V_{CC}dt$$
and this would be the same current on the zener because when the transistor turns off the diode try to maintain the inductor current and breaks down.
The instantaneous power of the diode is \$I_{z}V_{z}\$ , but which is the average power?
NOTE: The schema shows a Schottky diode but the instructions asks for a zener.