A 12Ω resistor is connected in series with a parallel combination of two resistors 6Ω and 3Ω. A switch S is connected so that it is in series with the 3Ω branch only. The entire circuit is connected to a 24V ideal battery.
(a) With switch S open:
(i) Find the total resistance of the circuit.
(ii) Calculate the current supplied by the battery.
(b) With switch S closed:
(i) Find the new total resistance of the circuit.
(ii) Calculate the new current drawn from the battery.
(iii) Determine the power dissipated in each resistor under this condition.