Hi Richard,
Thanks a lot for the info.
I don't think that the mosfet was continuously energized. There are two reasons for this. First, when I tested the old one in the board and outside of the board relative to its neighbors and the new one I had purchased, it looked shorted. That is, it had a very low voltage / resistance 0.05 relative to the 0.7 that I was expecting. Second, when I put the new one in and turned the machine on, the coil was not originally energized. It is only when I grounded the coil and it fired up for the first time that it became stuck. I have not remeasured the new mosfet that I had put in after this happened, but I suspect that it is fried now.
When I got the machine, there was no drop target assembly. I purchased a new one and put it in.
The first time I turned on the machine and played, within 10 seconds of the drop target being reset, smoke started coming out of under the playfield. I immediately turned off the machine. The coil had started melting. Luckily, there was absolutely no damage to anything but the coil.
That's when I looked closely at the mosfet and found out it was shorted. I bought two new coils, and two new mosfets - because I anticipated that it might take more than one attempt to fix this.
On this particular coil, the diode is not supposed to be on the coil. It is on a separate assembly, under the playfield. Don't ask me why. The new assembly I bought had the diode on the coil. On the new coil I bought, I removed the diode from the coil, but I did not check that the diode that is away from the coil under the playfield was ok. Could this be the problem? Could a bad diode mess of the mosfet?
I was looking at http://pinside.com/pinball/forum/topic/what-does-a-coil-diode-actually-do to see, and it could be the reason. However, I would have expected the problem not to show up the very first time the coil gets energized, without even going back to its initial rest state.
That's it for now.
Thanks everyone for your help.