Consider two ideal DC circuits both with a 12V battery. The first has one 2ohm resistor and in the second circuit contains two 2ohm resistors. After some calculations, it is evident that a 6A current flows in the first circuit and a 3A current flows in the second. Assume the only power dissipated is via the resistors. The total power dissipated in the first circuit is 72W and in the second is 36W. The power supplied by the emf must also equal these rates. However, the two emfs are identical so must have supplied the same total amount of energy at equilibrium when the batteries are dead. Hence from the power of dissipation of each circuit it means circuit two will carry a current for twice the amount of time as the first circuit. Is this correct?