As you are a novice, lets run through some of the things you need to consider, referring to the BUZ911 data sheet at:
https://www.fairchildsemi.com/products/discretes/fets/mosfets/BUZ11.htmlhave you exceeded the Breakdown Voltage of the mosfet?
No, all good, the BUZ11 can handle 50V
Have you exceeded the Gate Voltage of the mosfet?
No, all good at 12V, the BUZ11 can handle a VGS of 20V
have you exceeded the current handling of the Mosfet?
No, all good at 12V - a BUZ11 can handle 50 Amps
are you driving the Gate hard enough to turn the Mosfet fully on?
Yes, VGS of over 5V should have the Mosfet in saturation at around 5 Amps, and minimum rDS(on) is given as 0.03 ohms at 10V VGS, so 12V is good.
Are you switching the Mosfet on fast enough?
- this is not a major concern in this application, as you are not pushing a BUZ11 anywhere near its limits.
Having said that though, R2, the 100 ohm resistor is going to slow the turn on slightly, due to the 1500 to 2000 pF input capacitance.
Likewise it will be slow to turn off, as the Gate discharges via R1
This would be a concern if/when you are pushing a Mosfet to its limits as you want the Mosfet to switch on and off as quickly as possible, so it does not spend too much time 'partly on' which is where it gets hot....
Have you exceeded the safe operating area of the Mosfet?
your specified current is 4.67 Amps
worst case VDS should be about 0.04 x 4.67 = 0.187 Volts (where VDS=rDS(on) x Current )
- That is well in the Safe operating area of the BUZ11 shown in Figure 4 of the Data sheet.