Where \$V_{sin}\$ is sinusoidal with frequency \$f_{1} = 1 kHz\$.
The THD is defined as the sum of the power of all harmonics (except the fundamental) divided by the power of the fundamental harmonic.
I calculated \$V_{out}\$ wrt \$\omega\$ and the time-averaged power from there. Then I tried evaluating this power at frequencies \$f_{(n)} = n \cdot 1 kHz\$ and calculating the THD from this, but I can't make this sum.
This question was in a 3h exam, and it was worth 10%, so it should take around 18min to do. It can't be that complex numerically.
I'm most interested in the process of solving this over the actual answer. Thanks in advance.
Best Answer
This circuit only uses linear components. Ideal resistors, capacitors, and inductors are linear components meaning, their behavior is independent of the amplitude of the voltage and current.
As such this circuit is unable to generate harmonics. For that there would need to be a non-linear component present. For example a diode or a transistor.
So the answer is: THD = 0
Obviously this is a question to test your knowledge of the relation between (non) linear circuits and distortion of signals.