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.
In an L-R-C series circuit, suppose R = 300 ohms, L = 60 mH, C = 0.50 uF, V = 50 V, and w = 10,000 rad/s. Find the phase angle φ, and the voltage amplitude across each circuit element (inductor, resistor, capacitor).
In an L-R-C series circuit, the resistance is 320 ohms, the inductance is 0.400 henrys, and the capacitance is 2.00×10−2 microfarads.
A) What is the resonance angular frequency ω0 of the circuit?
? rad/s
B)The capacitor can withstand a peak voltage of 550 volts. If the voltage source operates at the resonance frequency, what maximum voltage amplitude Vmax can the source have if the maximum capacitor voltage is not exceeded?
? V
An L-R-C series circuit consists of a 2.70 μF capacitor, a 5.00 mH inductor, and a 50.0 Ω resistor connected across an ac source of voltage amplitude 14.0 V having variable frequency.
A. Under the conditions of part A (ω = 2.09×104 rad/s), what is the average power delivered to each circuit element? (PR,PC,PL)
B. What is the maximum current through the capacitor?
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