What is the coil on? Can you post a picture? If you can find the mechanism on the schematics/manual, it'll often list the part number there too.

Even once you get a replacement coil you still have to find what caused it to lock on and burn up or the new one will just burn again.

First thing I would check is to see if your game has the correct fuses installed in it. Make sure they are the right amperages for the pariticular "line of voltage" they are protecting. If somebody before you put a larger fuse in than needed, then you are no longer protected. We would rather have a fuse blow then have another coil burn up.

Next thing i would look for, with power off and main outlet plug removed from any wall outlet, is for broken wires near or on the coil that died.

Is the coil in the backbox(head of the game), or in bottom of the cabinet? If so there is typically paper stapled near those coils or stickers on them telling you what it is used for.

But as Mitch1985 said, you will need to find the short causing the coil to burn up before replacing with a new one.

Is that the right flipper? Looks like it, but with different wire colors than the pic on ipdb.org.

http://ipdb.org/showpic.pl?id=1157&picno=44555&zoom=1

That whole assembly is looking pretty badly beat, it may even have burned just from binding up with wear, tear, and dirt. You'll be doing yourself a favor if you get a flipper rebuild kit and refresh those things.

http://www.marcospecialties.com/pinball-parts/BFKIT80

Hack - O -Licious

Well, you guys just quit the EU, but these guys might still sell to you.

http://www.pinball.center/en/search?sSearch=flipper+rebuild

If its just the right flipper coil you can clip the wires off the coil the game should still start and play just without the left flipper working. If it doesn't still play then you have a bigger issue.

Is that a slam tilt switch being used as a end of stroke flipper switch?

Its all about the tea.

That's what that is! I was staring at it trying to figure out what could possibly be going on

Basically, it's a switch that opens when the flipper is in the 'up' position to cut off the high power to the coil, which prevents it from burning up (like yours did, although that might have been another problem)

You should probably replace every component of that flipper, and redo all the wiring (I don't want to think about what the wires going into that plastic thing do).

Pictures from EvanDickons IPDB link above and Marcos
Flipper_Switch.jpg

Extra crispy flipper coil.

Looks like the thrust and hold windings on that flipper coil are in different sections rather than overlayed like your standard flipper coil.

Do yourself a favor & just buy complete rebuild kits for both flippers along with the coils. If the linkages are worn out it won't play as well. Also, clean or replace your flipper button switch contacts too. Anywhere there can be a voltage drop it will weaken your flippers.
Might as well order new flipper bats too - old ones have the divots from set screws & it makes them hard too adjust flipper alignment properly.