Engineering RLC circuit with two angular frequencies

[cool_stuff_lol]

A resistor, an inductor of inductance value of 0.02H and a capacitor are connected in series. When an alternating voltage of 200sin(1000t-10°) is applied to the series combination, the current flowing through the circuit is 20√2sin(2000t-20°). Determine the values of resistor and capacitor.

Reactance of inductor= wL
Reactance of capacitor= 1/wC

I don't know how to attempt this question. The voltage and current have different angular frequencies so how do we calculate the impedance using phasors or with some other method?

 

[gneill]

Hello cool_stuff_lol, Welcome to Physics Forums.

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A resistor, an inductor of inductance value of 0.02H and a capacitor are connected in series. When an alternating voltage of 200sin(1000t-10°) is applied to the series combination, the current flowing through the circuit is 20√2sin(2000t-20°). Determine the values of resistor and capacitor.

Reactance of inductor= wL
Reactance of capacitor= 1/wC

I don't know how to attempt this question. The voltage and current have different angular frequencies so how do we calculate the impedance using phasors or with some other method?

This looks like a typo in the question statement. There are no non-linear components in the described circuit which could result in frequency harmonics being generated.

For linear circuits, all currents and voltages must have the same frequency at steady-state when all sources have the same frequency (here "all" is one: the voltage source).