Check Your Understanding In an RLC circuit, L = 5.0 mH, C = 60 μ F , and R = 200 Ω . (a) Is the circuit under damped, critically damped, or overdamped? (b) If the circuit starts oscillating with a charge of 3.0 × 10 − 3 C on the capacitor, how much energy has been dissipated in the resistor by the time the oscillations cease?
Check Your Understanding In an RLC circuit, L = 5.0 mH, C = 60 μ F , and R = 200 Ω . (a) Is the circuit under damped, critically damped, or overdamped? (b) If the circuit starts oscillating with a charge of 3.0 × 10 − 3 C on the capacitor, how much energy has been dissipated in the resistor by the time the oscillations cease?
Check Your Understanding In an RLC circuit, L = 5.0 mH,
C
=
60
μ
F
, and
R
=
200
Ω
. (a) Is the circuit under damped, critically damped, or overdamped? (b) If the circuit starts oscillating with a charge of
3.0
×
10
−
3
C
on the capacitor, how much energy has been dissipated in the resistor by the time the oscillations cease?
In an RLC circuit, L = 5.0 mH, C = 6.0μF, and R = 200 Ω.
(a) Is the circuit underdamped, critically damped, or overdamped?
(b) If the circuit starts oscillating with a charge of 3.0 × 10−3 C on the capacitor, how much energy has been dissipated in the resistor by the time the oscillations cease?
An RL circuit with L = 2.95 H and an RC circuit with C = 2.80 uF have the same time constant.
(a) If the two circuits have the same resistance, R, what is the value of R?
(b) What is this common time constant?
ms
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 seriescircuit.(b) Calculate for which values of R the circuit is overdamped, for which it is criticallydamped, and for which it is underdamped.(c) Draw a plot of the charge present on the plates of the capacitor as a function oftime for each of the three previous cases.The same C and L are now connected to a source of alternating voltage of amplitudeVrms = 56.0 V. The source is operated at the resonance frequency of the circuit. Thevoltage 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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