Here's some pictures of the other side of the motherboard:

Yes you would have to bridge it with wire if it is totally corroded away. Have you scraped the paint off that big trace to see how bad the damage is ? Some times it is just the paint that is damaged and not the trace itself. You will need to replace those bad caps......
Scrape the paint off and show us another picture....

When I scraped the paint and corrosion off the top I was really surprised how much copper was left ! I had assumed that the trace was completely gone, but it looks like there's enough of it left that it might work. There are still some dark spots left (I think it's just a stain on the copper) that I wasn't able to get off, as I didn't want to go too crazy and end up damaging it further. I dabbed the corroded areas with some vinegar to try and neutralize the corrosion after the traces were scraped. I went ahead and ordered some new capacitors. Hopefully it ends up working!

Falcon_H wrote on 2020-09-10, 17:45:

When I scraped the paint and corrosion off the top I was really surprised how much copper was left ! I had assumed that the trace was completely gone, but it looks like there's enough of it left that it might work. There are still some dark spots left (I think it's just a stain on the copper) that I wasn't able to get off, as I didn't want to go too crazy and end up damaging it further. I dabbed the corroded areas with some vinegar to try and neutralize the corrosion after the traces were scraped. I went ahead and ordered some new capacitors. Hopefully it ends up working!

This is not bad damage, have see much much worse form leaks. Don't throw it out! hope the new caps work for you

treeman wrote on 2020-09-11, 09:49:

Falcon_H wrote on 2020-09-10, 17:45:

When I scraped the paint and corrosion off the top I was really surprised how much copper was left ! I had assumed that the trace was completely gone, but it looks like there's enough of it left that it might work. There are still some dark spots left (I think it's just a stain on the copper) that I wasn't able to get off, as I didn't want to go too crazy and end up damaging it further. I dabbed the corroded areas with some vinegar to try and neutralize the corrosion after the traces were scraped. I went ahead and ordered some new capacitors. Hopefully it ends up working!

This is not bad damage, have see much much worse form leaks. Don't throw it out! hope the new caps work for you

I definitely wouldn't throw any old hardware away! Hopefully the new caps will arrive in a few days. I can't wait to try them out!

You can clean up the corrosion real good with a fiberglass scratch pen, then use UV curable solder mask to paint back over the copper to prevent oxidation. I did that with the Amiga 2000 motherboard I have which had terrible Varta battery leakage. I also fixed some traces with thin copper foil and some very fine gauge solid core wire.

Today I finally got the capacitors in the mail and I soldered them in and tested the computer this morning. I didn't get any display and the power LED didn't turn on. I know I got the polarity of the capacitors right and I re-seated all of the chips, but still didn't get any display. I'm beginning to suspect the power adapter, but I'm a bit over my head and really don't have any idea what's wrong. I'm hoping to test the power adapter with a multimeter later today.

The power adapter was warm, but measured 0 volts. I'm pretty sure it's broken.

My Power supply says "11.5 VAC 30 VA". Does anyone happen to know what transformer I should get?

I found a video explaining how to make a VIC-20 power supply using a transformer and it explained which one to buy. I bought the transformer and the good news is that I got the power light to turn on and something to appear on the screen. The bad news is that the something is garbage. There is also a bit of audio humming. I tried it on both an LCD TV and a slightly older CRT TV. I was using one of those 5 pin DIN to composite cables for both TVs.

Attached are some pictures of the garbage.

I managed to get it to do this for a brief instant a few times.

I'm beginning to suspect the voltage regulator, but I don't really know what I'm doing .

When I was about to give up hope I finally figured out what the problem was. It turns out the bridge rectifier was bad. Now to get some cartridges!