The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900- μ F capacitor, and a 300-Ω resistor. The source has terminal rms voltage V rms = 60.0 V and variable angular frequency ω . (a) What is the resonance angular frequency ω 0 of the circuit? (b) What is the rms current through the circuit at resonance, I rms-0 ? (c) For what two values of the angular frequency, ω 1 and ω 2 , is the rms current hall the resonance value? (d) The quantity | ω 1 − ω 2 | defines the resonance width. Calculate I rms-0 and the resonance width for R = 300 Ω, 30.0 0, and 3.00 Ω. Describe how your results compare to the discussion in Section 31.5.
The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900- μ F capacitor, and a 300-Ω resistor. The source has terminal rms voltage V rms = 60.0 V and variable angular frequency ω . (a) What is the resonance angular frequency ω 0 of the circuit? (b) What is the rms current through the circuit at resonance, I rms-0 ? (c) For what two values of the angular frequency, ω 1 and ω 2 , is the rms current hall the resonance value? (d) The quantity | ω 1 − ω 2 | defines the resonance width. Calculate I rms-0 and the resonance width for R = 300 Ω, 30.0 0, and 3.00 Ω. Describe how your results compare to the discussion in Section 31.5.
The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900-μF capacitor, and a 300-Ω resistor. The source has terminal rms voltage Vrms = 60.0 V and variable angular frequency ω. (a) What is the resonance angular frequency ω0 of the circuit? (b) What is the rms current through the circuit at resonance, Irms-0? (c) For what two values of the angular frequency, ω1 and ω2, is the rms current hall the resonance value? (d) The quantity | ω1 − ω2| defines the resonance width. Calculate Irms-0 and the resonance width for R = 300 Ω, 30.0 0, and 3.00 Ω. Describe how your results compare to the discussion in Section 31.5.
An RLC series circuit has a 2.7 Ω resistor, a 125 μH inductor, and a 85 μF capacitor.
(a) If the voltage source supplies an rms voltage of 5.7 V, what is the circuit’s rms current, in amperes, at a frequency of 3.5 kHz?
(b) What is the resonant frequency, in kilohertz, of the circuit?
(c) What is the rms current, Irms, in amperes, at resonance?
A series RLC circuit is connected to an oscillator with an rms voltage of 42.0 V, and consists of a 46.0 mH inductor, a 1.90 nF capacitor, and a 140. Ω resistor. If ω = ω0, what is the power supplied to the circuit?
Chapter 31 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.