The heat dissipated by a resistor is given by the formula $$ I^2 R $$
Any circuit portion has an equivalent resistance. Does that mean that the heat dissipated by any circuit portion, doesn't matter what it is, can be calculated using that formula?
If not, please explain why and how does it correlate to the equivalent resistance.
If yes, then the following doesn't make sense:
If an electric motor running with 230V AC draws 100 W: the current is: $$ I = P/V = 100/230=0.43 A $$ the resistance is: $$ R = V/I = 230 / 0.43 = 529Ohms $$ Therefore, the heat dissipated by it is the same as its wattage: $$ H = I^2*R = 0.43^2*529 = 100 W $$ If it dissipates all it consumes as heat, then all the torque it produces would be "free energy", which, obviously, doesn't make sense.
Clearly I'm missing something here. Because either answer doesn't make sense to me and one of them must be correct because they are the opposite of each other.