A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.60 m connected in series, and two identical inductors (L = 5.40 x 10-5 H) connected in series. You and your team need to determin (a) the resonant frequency of this configuration. (b) What are all of the other possible resonant frequencies that can be attained by reconfiguring the capacitors and inducto using all of the components and keeping the proper series RCL order)? (c) If you were to design a circuit using only one of the given inductors and one adjustable capacitor, what would the range o variable capacitor need to be in order to cover all of the resonant frequencies found in (a) and (b)?

A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.60 m connected in series, and two identical inductors (L = 5.40 x 10-5 H) connected in series. You and your team need to determin (a) the resonant frequency of this configuration. (b) What are all of the other possible resonant frequencies that can be attained by reconfiguring the capacitors and inducto using all of the components and keeping the proper series RCL order)? (c) If you were to design a circuit using only one of the given inductors and one adjustable capacitor, what would the range o variable capacitor need to be in order to cover all of the resonant frequencies found in (a) and (b)?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter33: Alternating Current Circuits

Section: Chapter Questions

Problem 33.7OQ: A series RLCcircuit contains a 20.0- resistor, a 0.750-F capacitor, and a 120-mH inductor. (i) 11 a...

See similar textbooks

Similar questions

An inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16
An inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16
Problems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a 430.0-mH inductor, and a 24.0-F capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the a. resistor, b. inductor, and c. capacitor in the circuit? FIGURE P33.71 Problems 71 and 72.
The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.
A series RLCcircuit contains a 20.0- resistor, a 0.750-F capacitor, and a 120-mH inductor. (i) 11 a sinusoidally varying rms voltage of 120 V at f = 500 Hz is applied across this combination of elements, what is the rms current in the circuit? (a) 2.33 A (b) 6.00 A (c) 10.0 A (d) 17.0 A (e) none of those answers (ii) What If? W hat is the rms current in the circuit when operating at its resonance frequency? Choose from the same possibilities as in part (i).
In a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15
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.
The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?
Suppose a coil has a self-inductance of 20.0 H and a resistance of 200 . What (a) capacitance and (b) resistance must be connected in series with the coil to produce a circuit that has a resonant frequency of 100 Hz and a Q of 10?
An RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil has a resistance of 20. The source for the circuit has an tins emf of 240 V at a frequency of 60 Hz. Calculate the tins voltages across the (a) resistor, (b) capacitor, and (c) inductor.
In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.
Review. The voltage phasor diagram for a certain series RLC circuit is shown in Figure P33.59. The resistance of the circuit is 75.0 , and the frequency is 60.0 Hz. Find (a) the maximum voltage Vmax, (b) the phase angle , (c) the maximum current, (d) the impedance, (e) the capacitance and (f) the inductance of the circuit, and (g) the average power delivered to the circuit.