I have to find the true power dissipated and apparent power for this RLC AC circuit. I've already found the impedance, the current from the supply and the current from each branch but I've forgotten how to find the true power dissipated and apparent power. Help would be appreciated. Sorry for the rough circuit.
Electronic – How to find True power dissipated and apparent power
power
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Best Answer
You've already calculated true power in comments but not so accurately. True power is (as transistor points out) \$V^2/R\$ = 847.06 watts and, the current in the resistor is 3.5294 amps.
For the apparent power I'd calculate individually the currents in the inductor and capacitor, these being: -
And, the trick here is to realize that that actual current that flows into the pair of them is the difference current. This is because L and C form a partial tuned circuit.
Total current is resistive plus net reactive current added as phasors (or using pythagoras): -
$$\sqrt{3.5294^2+10.981^2}$$
And that equals 11.535 amps (this is the total RMS current from the 240 volt supply).
Hence apparent power is 240 x 11.535 = 2768.3 watts.