You mean; it actually melts loose from the connection?
I don't see why not. A badly frayed cable will not have enough copper strands in it to carry the proper current, especially when on a heavy load like starting or, say, if an alternator diode shorts. A very poor connection at a terminal can also get hot enough to melt. A good battery can supply hundreds of amps in a short time, like a spot welder. A shorted started can actually get welded together by a good battery.
The black cable is the negative or ground. The red cable is the hot or positive calbe.
does the car cranking or not at all when it hot? does the car starts ok when it is in cold?
There is a Positive (HOT) & Negative (Ground) battery cable. There are also lots of other HOT wires that are carrying current throughout the vehicle. What exactly are you referring too? hundereds of wires get a book at advance or napa for your car
Electricity passes through the cable. As it passes through the cable, the electricity will encounter resistance. This is what causes an electrical cable to heat up.
The alternator really can be shorted out but you can cause a short if you contact the hot battery connection to ground. whenever you work on a car, you should really disconnect the negative battery cable. It takes that battery out of harms way and you too.
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The negative cable should always be disconnected first so you don't die of and electrical shock or in a bad explosion from hot sparky wires.
If by 'cable wire' you mean Coax cable for the TV, or Internet, then the answer is no. The power/voltages in the cable are way to low to produce a spark which is usually what triggers flame. If by 'cable wire' you mean a cable carrying an electrical service such as 120V or 240V, then, if the cable is damaged by an accidental or deliberate cut which causes a short circuit from a hot phase wire or wires to other wires in the cable - such as to other hot phase wires in a 3-phase circuit, a neutral or a ground wire - then the resulting heavy current could result in the cable becoming very hot and could cause it to catch on fire unless there was some overcurrent protection device to prevent that from happening. That is why fuses and/or circuit breakers should always be included in any electrical service wiring to cut off the supply of current before a fire can be caused by such damage.
assuming that no one has cut a wire, the alternator is probably bad. could be a fuse. Depending on car, it could be a fusible link. Process of elimination. The main large wire on the back of the alternator runs to the battery. Should be smaller wire on the positive cable.
Negative - (Black) is Ground, Positive + (Red) is Hot. Ground wire goes to Negative (Black) it goes from negative on battery to engine for ground.
heater control cable not adjusted properly?
Need a new speedometer or speedometer cable.