/diy/ - Do It Yourself

Hola people, just a little question, i need to power a 5v coil with a 9v battery, i had the idea of doing it with a 5.1v zener diode (also could use a lm7805, but thats a bit overkill rite?)
Pic related is my idea, my question is, what resistance value should i use?
will the zener diode get fugd when i turn off? (working as a flyback diode? or is that just for HV?) What would be the current drag of all this stuff? Just want you guys to tell me if i'm fucking up.