redshaw,
Yes, that is the first thing to do when analyzing series circuits. By the way, current does not flow, it exists. It is charge that flows. First find the impedance. Begin by calculating the reactance of the inductor. Then add the resistance and the reactance vectorially to get the impedance. You know that reactance is 90 degrees out of phase with the resistance, don't you? Then use the impedance formula and divide the impedance into the voltage to get the current. Multiplying the current by the resistance gives the voltage across the resistor. Ditto for the inductance. I^2*R gives the power dissipated by the resistor. No power is dissipated by the inductance. I did not give you a detailed solution because you should know how to do the steps and have a idea of how things relate to each other. RatchCalculate a.) current flowing b.)