An L-C series circuit has C = 4.80 mF, and L = 0.520 H. The capacitor is fully charged, and then a switch is closed. (a) Calculate the frequency of the oscillation of this circuit. A resistor is then connected in series with both L and C to create an L-R-C series circuit. (b) Calculate for which values of R the circuit is overdamped, for which it is critically damped, and for which it is underdamped. (c) Draw a plot of the charge present on the plates of the capacitor as a function of time for each of the three previous cases.
An L-C series circuit has C = 4.80 mF, and L = 0.520 H. The capacitor is fully charged,
and then a switch is closed.
(a) Calculate the frequency of the oscillation of this circuit.
A resistor is then connected in series with both L and C to create an L-R-C series
circuit.
(b) Calculate for which values of R the circuit is overdamped, for which it is critically
damped, and for which it is underdamped.
(c) Draw a plot of the charge present on the plates of the capacitor as a function of
time for each of the three previous cases.
The same C and L are now connected to a source of alternating voltage of amplitude
Vrms = 56.0 V. The source is operated at the resonance frequency of the circuit. The
voltage across the capacitor has amplitude VC, rms = 80.0 V.
(d) Calculate the resonance frequency.
(e) Calculate the value of R for the resistor in the circuit.
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