Problem 21. For the RLC circuit shown in Figure 3, find the following:(a) The resistance, capacitative reactance, and inductive reactance of the circuit.(b) The total impedance of the circuit.(c) The phase angle between the current and voltage.A50 ΩwwB100 ΩwC75 ΩwA300 mHB250 mHC150 mHFigure 3A470 μFB630 μFCL300 μF

Answered: Problem 21. For the RLC circuit shown…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 75PQ

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A series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?
At 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor. What is the capacitance of the capacitor?
An RLC circuit has resistance R = 225 and inductive reactance XL. = 175 . (a) Calculate the circuits capacitive reactance XC if its power factor is cos = 0.707. Repeat the calculation for (b) cos = 1.00 and (c) cos = 1.00 102.
What is the impedance of an RLC series circuit at the resonant frequency?
(a) Does the phase angle in an RLC series circuit depend on frequency? (b) What is the phase angle for the circuit when the inductive reactance equals the capacitive reactance?
A series RLC circuit has resonance angular frequency 2.00 103 rad/s. When it is operating at some input frequency, XL = 12.0 and XC = 8.00 . (a) Is this input frequency higher than, lower than, or the same as the resonance frequency? Explain how you can tell. (b) Explain whether it is possible to determine the values of both L and C. (c) If it is possible, find L and C. If it is not possible, give a compact expression for the condition that L and C must satisfy.
A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power source oscillating at 60-Hz frequency. (a) Find the current in the circuit. (b) Find the voltage drops across the resistor and inductor. (C) Find the impedance of the circuit. (d) Find the power dissipated in the resistor. (e) Find the power dissipated in the inductor. (1) Find the power produced by the source.
A 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC voltmeter is placed across the inductor, what does it read?
What is the plia.se angle in a series RLC circuit at resonance? (a) 180 (b) 90 (c) 0 (d) 90 (e) None of those answers is necessarily correct.
An RLC series circuit has a 2.50 (resistor, a 100 (H inductor, and an 80.0 (F capacitor. (a) Find the circuit's impedance at 120 Hz. (b) Find the circuit’s impedance at 5.00 kHz. (c) If the voltage source has Vrms = 5.60 V, what is Irms at each frequency? (d) What is the resonant frequency of the circuit? (e) What is Irms at resonance?
An RLC circuit connected across an AC voltage source at frequency f has resistance R, capacitive reactance XG and inductive reactance XL. If the frequency is doubled so that fnew = 2f, find the ratios (a) Rnew/R, (b) XC,new/XC, and (c) XL,new/XL.
A series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?

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