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I purchased an e-bike which was advertised as just needing the batteries replaced. The li-ion batteries had been sitting dead for months. Once I got the battery removed it was clear that was not the case. You can see the hole where the plastic melted from this component overheating on the board. The burnt one is the same as those in the center of this photo.
What is it and how do I determine the correct replacement?
Looks like a 22 ohm resistor
looks like a surface mount chip resistor, 22 ohm?
As Altima said, it's a 22ohm SMD resistor. You'll need to measure it to get the package size.
Unfortunately resistors don't really just burn out. If the resistor did cause damage from overheating, it's because something drew too much current. My guess is there's a short somewhere else, but there's almost certainly more damage than that resistor.
Good luck!
I was thinking the same. How the heck does a resistor cause that much damage? Definitely not the resistors fault alone.