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Refer to the parallel resonant circuit of Figure 21–41. IL 2 „AZ0 R 220 pF L V fp = 800 kHz %3D BW = 25 kHz

Refer to the parallel resonant circuit of Figure 21–41. IL 2 „AZ0 R 220 pF L V fp = 800 kHz %3D BW = 25 kHz

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Refer to the parallel resonant circuit of Figure 21-41. 2 μΑΖ0 220 pF L V R fp = 800 kHz BW = 25 kHz FIGURE 21-41 Suppose the circuit has a resonant frequency of 800 kHz and a bandwidth of 25 kHz. a. Determine the value of the inductor, L, in henries. b. Calculate the value of the resistance, R, in ohms. c. Find V, IL, and power, P, at resonance. d. Find the approximate values of the half-power frequencies, fi and f2. e. Determine the voltage across the circuit at the lower half-power frequency, fi, and show that the power dissipated by the resistor at this frequency is half the power dissipated at the resonant frequency. a. L = 180 µH b. R, = 28.9 kſN c. V = 57.9 mV Z0° Iz = 64.0 µAZ-90° P= 115 nW d. fi = 788 kHz f2 = 813 kHz e. V = 41.1 mVZ44.72° P = 58 nW © Cengage Leaming 2013
Transcribed Image Text:Refer to the parallel resonant circuit of Figure 21-41. 2 μΑΖ0 220 pF L V R fp = 800 kHz BW = 25 kHz FIGURE 21-41 Suppose the circuit has a resonant frequency of 800 kHz and a bandwidth of 25 kHz. a. Determine the value of the inductor, L, in henries. b. Calculate the value of the resistance, R, in ohms. c. Find V, IL, and power, P, at resonance. d. Find the approximate values of the half-power frequencies, fi and f2. e. Determine the voltage across the circuit at the lower half-power frequency, fi, and show that the power dissipated by the resistor at this frequency is half the power dissipated at the resonant frequency. a. L = 180 µH b. R, = 28.9 kſN c. V = 57.9 mV Z0° Iz = 64.0 µAZ-90° P= 115 nW d. fi = 788 kHz f2 = 813 kHz e. V = 41.1 mVZ44.72° P = 58 nW © Cengage Leaming 2013
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