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1. A coil with inductance and resistance of 1.0 mH and 2.0 2, respectively, is connected in series with a capacitor and a 120-V 5-kHz supply. Determine the value of capacitance that will cause the system to be in resonance and the current at the resonance frequency. 2. Determine the parameters of a series RLC circuit that will resonate at 10 kHz, have a bandwidth of 1 kHz, and draw 15.3 W from a 200-V generator operating at the resonance frequency of the circuit.

1. A coil with inductance and resistance of 1.0 mH and 2.0 2, respectively, is connected in series with a capacitor and a 120-V 5-kHz supply. Determine the value of capacitance that will cause the system to be in resonance and the current at the resonance frequency. 2. Determine the parameters of a series RLC circuit that will resonate at 10 kHz, have a bandwidth of 1 kHz, and draw 15.3 W from a 200-V generator operating at the resonance frequency of the circuit.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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C. Answer 1 and 2
TEST YOURSELF 1. A coil with inductance and resistance of 1.0 mH and 2.0 2, respectively, is connected in series with a capacitor and a 120-V 5-kHz supply. Determine the value of capacitance that will cause the system to be in resonance and the current at the resonance frequency. 2. Determine the parameters of a series RLC circuit that will resonate at 10 kHz, have a bandwidth of 1 kHz, and draw 15.3 W from a 200-V generator operating at the resonance frequency of the circuit. 3. A constant voltage at a frequency of 1 MHz is applied to an inductor in series with a variable capacitor. When the capacitor is set 500 pF, the current has its maximum value while it is reduced to one-half when the capacitance is 600 pF. Find (i) the resistance, (ii) the inductance, (iii) the Q-factor of the inductor. 4. A series R-L-C circuit consists of R = 1000 2, L=100 mH and C= 10 pF. The applied voltage across the circuit is 100 V. (i) Find the resonant frequency of the circuit. (ii) Find the quality factor of the circuit at the resonant frequency. (iii) At what angular frequencies do the half power points occur? (iv) Calculate the bandwidth of the circuit. 5. A series RLC circuit has a Qs of 5.1 at its resonance frequency of 100 kHz. Assuming the power dissipation of the circuit is 100 W when drawing a current of 0.80 A, determine the circuit parameters.
Transcribed Image Text:TEST YOURSELF 1. A coil with inductance and resistance of 1.0 mH and 2.0 2, respectively, is connected in series with a capacitor and a 120-V 5-kHz supply. Determine the value of capacitance that will cause the system to be in resonance and the current at the resonance frequency. 2. Determine the parameters of a series RLC circuit that will resonate at 10 kHz, have a bandwidth of 1 kHz, and draw 15.3 W from a 200-V generator operating at the resonance frequency of the circuit. 3. A constant voltage at a frequency of 1 MHz is applied to an inductor in series with a variable capacitor. When the capacitor is set 500 pF, the current has its maximum value while it is reduced to one-half when the capacitance is 600 pF. Find (i) the resistance, (ii) the inductance, (iii) the Q-factor of the inductor. 4. A series R-L-C circuit consists of R = 1000 2, L=100 mH and C= 10 pF. The applied voltage across the circuit is 100 V. (i) Find the resonant frequency of the circuit. (ii) Find the quality factor of the circuit at the resonant frequency. (iii) At what angular frequencies do the half power points occur? (iv) Calculate the bandwidth of the circuit. 5. A series RLC circuit has a Qs of 5.1 at its resonance frequency of 100 kHz. Assuming the power dissipation of the circuit is 100 W when drawing a current of 0.80 A, determine the circuit parameters.
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