Not about computers, but nutsy boltsy. Smart people here, in my experience...

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18. How to replace it ....

First of all, not all AC power adapters do exactly the same thing. If you look really closely at the bottom of the white brick, you'll see four very useful things written on it:

1) the input voltage and frequencies
2) the output voltage
3) the output amperage
4) the + and - polarity (aka tip/ring)

(1) The input voltage will be 110 volts or often a range of something like 100-220 volts if it's made to work either here or in Europe.

(2) The output voltage will be something like 6 volts or 12 volts. It's the DC voltage sent to the device.

(3) The output current (amperage) will be something like 2A (2 amps) or 1500 milliamps (1.5 amps).

(4) The tip/ring polarity is a funny drawing showing whether or not the center of the small plug is "+" or "-" (think of the ends of a battery).

Here's an example off the web, the center of the center part of the diagram represents the inside of the round plug:



So .. how does this help?

You need to just replace it with something that is compatible. A power adapter that has ...

1) Input voltage of 110 or a range that includes 110 volts (assuming you are in the US).

2) Output voltage that matches your device (e.g. 6 volts or 12 volts)

3) Output amperage that is at least as much as your old adapter output. E.g. if your old adapter says "1A" you can replace it with one that says "2A" or 1.5A.

4) Matching polarity on the plug (so you get the + and - showing up on the right parts of the connector).

An example power adapter:



- This example shows 100-240 volts input (at 50/60 Hz which is standard)
- With output volts of 12 Volts
- With output amperage of 2A (2 amps)
- With + on the center connector of the plug (see bottom left of the picture).

So you can either
1) find something compatible to buy on the web, or
2) find something compatible around the house (I keep a bucket of old adapters to reuse after the original device it attached to has failed .. the adapters often outlast the device).
3) get a generic adapter like this one:

https://www.amazon.com/dp/B015PXUHYA

This has a switch that adjusts the output voltage, and changeable output plugs so you can use one that fits your device (and reverses so you can match the +/- polarity). Just read the fine print and make sure it generates enough amps at the output voltage you need

I wouldn't recommend trying to repair the existing cable. It's not worth the $ to hire someone to do it and perfectly good adapters are filling up the landfills as electronics get discarded.

Hope this helps!