A series circuit containing a 295 microfarad capacitor and a coil whose resistance and inductance are 3 ohms and 4.42 mH, respectively are supplied by the following series connected generators: 35 V at 60 Hz, 10 V at 180 Hz and 8 V at 240 Hz. Determine the power factor of the circuit.

Answer 1

I will outline the solution.
Figure Z at each frequency.
Then, determine each current at those three frequencies.
Then, take the real part of each current, multiply it by the resistance, that is real power.

Then, take the imaginary part of each current, add, that is the imaginary part. Then, to get apperent power, you need to combine the imag with the real, get the complex current, figure its magnitude, apparent power= I^2*Z

pf=realpower/apparent power.