When a capacitor is charged by a battery half the power is dissipated as heat and half is stored as potential energy within the field of the capacitor. Similarly a resistor dissipates all power that the battery supplies. Now here's my question: In an RC circuit where is the power dissipated? I can show that the heat the resistor dissipates before the arrival of steady state is equal to final potential energy stored in the capacitor with the sum of both the heat and potential energy summing to give the work done by the battery. The only plausible conclusion I can draw is that heat is dissipated only by the resistor.If this is indeed correct then why is the capacitor not losing heat? My teacher tells me that the capacitor loses heat because of fringing of its field. Does it somehow disappear in an RC circuit?That would be strange.