Originally posted by Pro ten Holland
Current, Resistance, Voltage and Power are related. Voltage times Current equals power, Voltage divided by Current equals Resistance.
In the same manner Power equals (Current)^2 times Resistance, Power also equals (Voltage)^2 divided by Resistance.
The Resistance in the wire is responsible for Electrical energy to be converted into heat. The higher the resistance, the more energy is being converted into heat.
all those are derivatives of ohm's law, but you stated power was the cause of the heat. and you are wrong. it is the resistance in the wire as you stated that is converted to heat that ultimately melts the wire. And ohm's law actually does not say very much in terms of electrical energy converted to heat energy. Ohm only states the relationship of current, resistance, and voltage.
And to be completely acurate. when you apply ohm's law to this, you are not looking at the voltage a battery woudl put out, the v in the equation is the voltage drop in the wire itself. so you would take the P=VI as current applied to the wire by the voltage drop of the wire. not the voltage of the battery.
sorry for the physics lesson guys, but I am a EE by education.