A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.70 nF) connected in series, and two identical inductors (L = 5.30 x 10-5 H) connected in series. You and your team need to determine: (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 inductors (while 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 of the variable capacitor need to be in order to cover all of the resonant frequencies found in (a) and (b)? (a) Number 359 Units kHz (b) Ceg(parallel) and Leg(series) Number i 359 Units kHz Ceq(series) and Leg(parallel) Number 719 Units kHz Ceq(parallel) and Leg(parallel) Number i Units 180. kHz (c) Maximum capacitance Number i 1.50e-8 Units nF Minimum capacitance Number i 9.25e-10 Units nF > >

A Reconfigurable RCL Circuit. A series RCL circuit is composed of a resistor (R = 220 0), two identical capacitors (C = 3.70 nF) connected in series, and two identical inductors (L = 5.30 x 10-5 H) connected in series. You and your team need to determine: (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 inductors (while 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 of the variable capacitor need to be in order to cover all of the resonant frequencies found in (a) and (b)? (a) Number 359 Units kHz (b) Ceg(parallel) and Leg(series) Number i 359 Units kHz Ceq(series) and Leg(parallel) Number 719 Units kHz Ceq(parallel) and Leg(parallel) Number i Units 180. kHz (c) Maximum capacitance Number i 1.50e-8 Units nF Minimum capacitance Number i 9.25e-10 Units nF > >

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter23: Resistive-inductive-capacitive Series Circuits

Section: Chapter Questions

Problem 1PA: You are an electrician working in a plant. A series resonant circuit is to be used to produce a high...

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You are an electrician working in a plant. A series resonant circuit is to be used to produce a high voltage at a frequency of 400 Hz. The inductor has an inductance of 15 mH and a wire resistance of 2 . How much capacitance should be connected in series with the inductor to produce a resonant circuit? The voltage supplied to the circuit is 240 V at 400 Hz. What is the minimum voltage rating of the capacitor?
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A circuit consists of an inductor which has a resistance of 10 Ω and an inductance of 0.3 H, in serieswith a capacitor of 30 μF capacitance. Calculate(a) the impedance of the circuit to currents of 40 Hz (b) the resonant frequency (c) the peakvalue of stored energy in joules when the applied voltage is 200 V at the resonant frequency.Answer: [58.31 Ω; 53 Hz; 120 J]
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A circuit, having a resistance of 4.0 Ω with an inductance of 0.5 H and a variable capacitance in series, is connected across a 100 V, 50 Hz supply. Calculate: (a) the capacitance required to attain resonance; (b) voltages across the inductance and the capacitance at resonance; (c) the Q factor of the circuit
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