The starter probably has a short in one of the windings. So the power from the battery is flowing through the cable, through the starter and straight to ground. This is overloading the starter cable as it is not designed for that sort of load and is cooking itself.
I suggest pulling the starter off and bringing it to an auto parts store to have it tested, or having the car towed to a repair garage for them to inspect and likely replace the starter.
When cranking, the ballast resistor is bypassed to give a hotter spark. If during cranking you do not have power at the coil, but when the key is turned to run you do; there is a problem with the bypass circuit (sometimes it comes from the starter motor solenoid wire)
the hot wire goes to the starter and the ground wire bolts to the engine block.
Could be a weak starter - requires more cranking power when hot
Jumper wire from Battery + to Coil+Jump starter solenoid from smaller trigger terminal to starter side
Yes, it has a cranking system called a starter.
Take a jumper wire from Battery + to coil +Then jump solenoid on starter
wire direct from + side battery to + side coil and jump starter solenoid
The Hot wire of an automobile starter gets hot only after a prolonged attempt to start the engine, this is because the wire gauge or thickness is kept to the minimum acceptable size for normal use, starters are high amperage motors and when ran excessively and when the hot wire is sized to barely make, it it will get hot. There is also the case of a started drawing more amperage then it should because it is leaning and it is time to change it. The other sign is the engine will crank slower then usual and it sounds like you have a weak battery. Wires are gauged to carry a certain amount of amperage at a given voltage. It is my opinion that to keep the price competitive on most automobiles, manufacturers will skimp on materials when parts are made even expensive cars. Fortunately this wire getting hot is not such a big issue for most cars. Art
A wire that is getting hot could be shorted to ground.
Follow the "red" hot wire from the battery and u always find the starter.
If the red wire is a smaller wire to the starter motor, then its a faulty ignition switch. If its the large wire to the starter, then its meant to be live all the time. hope this helps
Check starter hot wire with test light. If hot & won't turn, there you go.