Apply a dummy load and measure, but you have already proven the supply is out of spec, I wouldn't use it
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I have an Arduino kit with a variety of resistors. Would I just take any resistor to use as a dummy load, or does it matter which resistor I use?
The PSU is rated at 2A 12v, so would I take 2A÷12²v? Should I look for a resistor that’s 0.0139� My EE class was decades ago, mostly forgotten.
I also have a 12v LED lamp that I pulled from a dumped refrigerator which I could sacrifice.
I’m often in a situation of needed to repurpose dodgy PSUs with dodgy appliances, so I’d like to generally know how to do this.
You would want big thermal resisters, or something that doesn't care about the correct voltage like a big beefy motor
In that case, it sounds like I should try using the PSU to hotwire the universal motor in my washing machine.
Is that adapter heavy? It sounds like an unregulated transformer type power supply. It's not unusual for those to output twice their rated voltage with no load. They will damage equipment that requires a regulated supply.
It’s a lightweight switching power supply.
But I also wonder why you say it sounds like the linear transformer variety. My understanding is the linear transformers give a more clean and stable output. I think transformers are more robust and longer lasting. OTOH, it’s not good that they warm up and waste energy (“vampire bricks”), hog space.. and not good that they are hard-wired to only handle 110v or 220v, not either/or.
Overall I prefer the small light switching PSUs, despite the fact they are often badly built and have short lifetimes.
A switching power supply should be regulated. The one you have is defective. Some do have a minimum load, but I've never seen that on an adapter that can be unplugged from the load.
A linear power supply has a linear regulator and will supply its rated voltage with very little ripple. The unregulated power supplies are just a transformer, rectifier & capacitor. They only provide their rated voltage when they are supplying their full rated current and there will be a lot of ripple.