your looking for a power supply
probably a switch mode power supply, if yes there will be a safety resistor normally 30 to 100 ohms . this feeds power into the electronics so if its blown so will be the switch mode chip which will be a 7 leg chip soldered to the board. These chips are really cheap so always worth a punt
if the resistor is not blown you would need to measure the voltage coming out of the chip. look for lower voltage smoothing capacitors and measure voltage with power on
say you expect 12V if there is 12v then power supply is ok and board gone. If voltage goes up and down then power supply ok but board blown. if you get 0V then power supply may be your fault
done lots of them
Dave