heat on electric wire
Since the electric code requires wires and devices to be rated for 600 volt, how could a 600 volt wire melt when household voltage is 240 volt?
The answer is Heat caused by resistance of the wire.
- The voltage did not increase during the short circuit. The voltage didn't spike over 600 volts. It's still 120-240 volt, because the grid transformer didn't suddenly re-wire itself and deliver more voltage.
- The amp rating of the copper wire did not not change. For example 10 gauge wire is rated 30 amps. NEC Code says: safe maximum ... 80% x 30 amps = 24 amps for 10 ga wire.

- Wires are like lanes on a freeway, and amps are like the cars. Wires only allow so many cars before the lanes are full, so 10 gauge wire has a maximum 30 amps, while larger 6 gauge wire has a maximum 60 amps.

- So what happens when a short circuit occurs? Answer: The flow of amps on wire increases because the short is allowing electrons to flow into earth, and voltage will push electrons into earth in runaway numbers until the wire melts or the breaker's magnetic coil causes breaker to trip.
- But why does the wire get hot enough to melt?
- The answer is, if a circuit is shorted to ground, then voltage keeps pushing more and more electrons against the atomic structure of a conductor (copper wire). Except the copper wire is a fixed size, and the copper only allows so many electrons to flow before the resistance begins to limit the flow of electrons. Electrons begin to pile up, like an impatient traffic jam. The more electrons trying to flow, the higher the resistance. Resistance is like friction that causes heat. So the runaway flow of electrons causes more heat on the wire.

- Mathematics of heat
First formula: Volts x Amps = P (Power or watts). Volts do not change, but more electrons (amps) are flowing down the wire, so amps are rising. This means P (power or watts) is rising. Power goes up during a short circuit.
Second formula: IČ (amps) x R (resistance) = P (Power or watts). The first formula tells us that Power is going up. If P is going up, then the second formula says [amps x resistance] must be going up. But the wire limits how many amps (electrons) can flow on the wire. Once the number of electrons approaches the maximum, then electrons are getting restricted. This means the resistance must go up../. which slows the electrons, like too many cars on the freeway. Too many electrons on the wire and the wire gets hot, causing the breaker to trip. If there is an arc caused by loose connection, then the excess power can melt the wire almost instantly before the breaker trips. One of the functions of the ground wire is to absorb the runaway flow of electrons, letting them into earth. This is how the ground wire protects the breaker and helps preserve the electrical installation.
If the circuit does not have a circuit breaker or ground wire, or if wires are too small for the amp rating of breaker (each a strict violation of electrical code), then the wire will overheat, melt, arc, or cause fire ... depending on unpredictable nature of runaway electricity.

The math tells us that amps (the flow of electrons on the wire), held back by resistance, is the cause of heat. If there was no amperage flowing, there would be no heat.