Question

Energy in Resonant Circuits: Consider how the energy flows around different components of a circuit at resonance.

• General Role of Circuit Components: In general, where is energy input into the circuit? Where is energy taken out of the circuit? Where is energy stored in the circuit?
• Analyzing Power through Components: To see how the energy flows between different components, we should understand what the power is through various components at different times. Consider a resonant circuit with (for simplicity) L=R=C=V0=1 (in SI units), and sketch the following plots:
  • A voltage vs. time plot for each of the function generator, inductor, resistor, and capacitor.
  • A power vs. time plot [recall that power is P=IV] for each of the function generator, inductor, resistor, and capacitor.
  The different components can be on the same plot provided the different curves are clearly labelled. Ensure that times are labelled (so one can compare their relative phases) and that it's clear where V=0 and P=0 on your plots. For consistency, label energy that comes out of any particular component (i.e., energy that the electrical component gives to other parts of the circuit) as positive, and energy that goes into that component as negative.

Please answer all parts!

Answer 1