Is there a difference in amount of heat produced on a conductor between AC and DC at the same amperage and voltage?
For example if you ran 50A at 480V through a conductor would the heat produced be the same for AC (60hz) and DC?
Yes... assuming for AC you mean 480V RMS, not peak-to-peak.
The power (in watts) should be:
480V * 50A = 24kW
However if you are measuring 480V AC peak-to-peak, the RMS voltage will be ~340V, in which case the power would be less:
340V * 50A = 17kW
AC voltage and current is continuously variable in a sine wave. Power is calculated using RMS so that it can be compared to DC in a useful way.
Yes. DC current will travel through the entirety of the wire -- AC current will tend to move on the outside of the conductor (see Skin Effect). This will cause slightly more ohmic heating in AC than in DC. That's why AC wire is usually stranded while DC wire is usually solid -- more strands = more surface area.
If the AC load is reactive instead of purely resistive, then the currents which experience ohmic (conversion to heat) losses in the transmission line include not only the real current which does work, but also the reactive currents.
Because the losses are tangible, industrial customers are billed for reactive power as well as real; for a large facility it is worthwhile to install banks of power-factor correcting capacitors to balance the inductive reactance of motor loads with opposing capacitive reactance, keeping the power on the transmission line mostly real.
The only thing that is different in ac and dc is frequency. So due to this fact ac repeatedly magnetise and demagnetise the wire elemnt i.e. the dipoles are made to turn again and again .This requires energy. So energy is lost during each magnetisation . Hence energy is lost .