I simply need to replace a blown halogen light bulb. This is proving to be an incredible difficult task as no one seems to know what bulb I need!

The bulb in question is for the 'Halogen Lamp' found here.
The Range itself can be found here.

Hints about the bulb
Bulb: Nothing written on the bulb whatsoever
Glass lens: Has the words '120V 25W max' written on it
Metal heat shield: '100W' punched onto it
Manual: "120-volt, 20-watt maximum halogen bulb"
Appliancepartspros.com: Their Q/A for the lamp links here to a 12V 10W bulb.
Sears parts tech support: Have no information on the bulb whatsoever, and suggest I replace the whole lamp assembly.
Physical dimensions: 2 pins at 8mm ish in length, 5mm ish from pin tip to pin tip, 1.5mm ish pin thickness, 30mm glass section plus 3mm nipple.

Researching the net has shown me this is probably a G5 or G5.3 (or GU_, GY_ etc for those sizes) bulb. Frankly I imagine either one is close enough to physically push in. What worried me most is the voltage and watt rating. I would be looking for a 120V, 20W bulb to satisfy the manual, lens and heat shield, but APP seem confident on the 12V 10W rating (a chat with a rep of theirs confirmed their view).

Is there a way to tell the difference between a 12V and 120V bulb? For example maybe they physically look different, perhaps the latter has more coils, or maybe a multimeter on the fixture would indicate something, or there's some other easy method?

Any and all help will be gratefully received!

Hi Simon,

I really appreciate the work you put into researching this. It looks like all my links other than the appliancepartspro.com ones were removed. The one I labelled 'Halogen Lamp' was the same as the one you posted, albeit to the searsdirect website. The problem is that this part is the entire lamp (bulb + lens + heatshield + socket + wiring + connector) rather than just the bulb, which is the only part that's actually bad.

I'm skeptical about using a 12V bulb as the manual states:
"The ovens use either a 120-volt, 20-watt maximum halogen bulb and/or a standard 40-watt appliance bulb."

So the arguments for this being a 120V are that the glass lens and manual both indicate 120V. The arguments that it's a 12V bulb are exclusively from appliancepartspros (here, the online chat and the webpage I linked). I'm open to either being correct, but obviously they both can't be, and each incorrect guess will cost $20 a pop (literally).

Is there a way to eyeball or test the bulb or fixture to ascertain the appropriate voltage?

Yes, I am able to tell the difference between an incandescent and halogen bulb. The bulb I'm trying to replace (the 40~mm bulb shown within this lamp fixture) is most certainly a halogen bulb.

It looks similar to, for example, this 120V 20W bulb, or this 12V 5W bulb.

Thank you Simon, I know you've spent a lot of time on this problem.

I am already aware that they no longer sell the bulb as a separate part, and that handling of the bulb shortens it's lifespan. So long as the bulb is clean (including no organic oils like fingerprints, dust etc) it should still be fine.

I'm going to continue trying to identify the bulb and will replace it if I'm successful. For anyone with the same problem that happens upon this thread, I suspect the bulb is a 120V 20W halogen G5.3. I haven't been able to confirm that, but it does seem the most plausible based on the measurements and various references.