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Part a:Why are the phases across eachindividual component (capacitor, resistor, inductor) what theyare?

Advice:           

• Start with formula Ï•=arctan(ω0^2−ω^2/γω)

for ϕ above, and consider it at theresonant frequency. (Or, equivalently, consider the phasor diagramat resonance; the phase shift ϕ is the same as the phase of thesignal in that diagram.)               

Then, figure out how the differentcircuit components' phases should relate to Q(t)

, and thus how they relate to Ï•

• .               

• You can also make a more physically-motivated explanation, basedon an intuitive analogy to mechanical resonance and simple harmonicoscillation (where \"pushing on a swing\" is a good picture). This isby no means required, though.           

          

Part B: Why is the voltage across theresistor what it is? Why is the voltage across theinductor-capacitor combination what it is?           

Part C: Why are these notexactly what you would expect (theoretically-speaking)?(Hint: the phase of the L+C contribution may be a hint as to whatwe are neglecting.)           

Part D: How can the voltage amplitudeacross the capacitor and inductor (individually) be larger than theinput voltage? Where does the energy come from?