(a) Explanation Given data: Refer to given Figure in the textbook. Formula used: Write the general expression to calculate the angular frequency. ω = 2 π f (1) Here, f is the value of the frequency in hertz. Calculation: PSpice Simulation: Draw the given band-reject filter circuit as shown in below Figure 1, and use the voltage probe to read the voltage across the resistor R 1 . Now provide the simulation settings as shown in Figure 2. Run the simulation, then the output plot will be shown as in Figure 3. An ideal band-reject filter circuit have two cutoff frequencies that are represented as ω c 1 and ω c 2 , which identify the passband. The center frequency ω o is the frequency for which the sum of the impedances of the capacitor and inductor is zero. In band-reject filter, the magnitude at the center frequency is minimum and the center frequency is in the stopband. For band-reject filter, the cutoff frequency is the frequency for which the transfer function magnitude is decreased by the factor 1 2 from its maximum value. It is expressed as, | H ( j ω c ) | = 1 2 H max = 0.707 H max Similarly, the magnitude of the load voltage at the cutoff frequency is expressed as, | V L ( j ω c ) | = 1 2 V L max = 0.707 V L max Refer to Figure 3, for the value of 0.707 in y -axis, the respective cutoff frequencies in hertz f c 1 and f c 2 value in the x -axis, f c 1 = 12315 (b) To determine Find the value of center frequency in hertz for the given band-reject filter. (c) To determine Find the value of the quality factor for the given band-reject filter circuit. (d) To determine Find the value of the lower cutoff frequency for the given band-reject filters. (e) To determine Find the value of the lower cutoff frequency in hertz for the given band-reject filters. (f) To determine Find the value of the upper cutoff frequency for the given band-reject filters. (g) To determine Find the values of the upper cutoff frequency in hertz for the given band-reject filter. (h) To determine Find the value of the bandwidth in kilohertz for the given band-reject filters.

10th Edition

ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Question

Chapter 14, Problem 38P

(a)

To determine

Find the value of center frequency for the given band-reject filter using PSpice.

(b)

To determine

Find the value of center frequency in hertz for the given band-reject filter.

(c)

To determine

Find the value of the quality factor for the given band-reject filter circuit.

(d)

To determine

Find the value of the lower cutoff frequency for the given band-reject filters.

(e)

To determine

Find the value of the lower cutoff frequency in hertz for the given band-reject filters.

(f)

To determine

Find the value of the upper cutoff frequency for the given band-reject filters.

(g)

To determine

Find the values of the upper cutoff frequency in hertz for the given band-reject filter.

(h)

To determine

Find the value of the bandwidth in kilohertz for the given band-reject filters.

Expert Solution & Answer

Chapter 14 Solutions

Electric Circuits (10th Edition)

Ch. 14.2 - Prob. 1AP Ch. 14.2 - A series RL low-pass filter with a cutoff...Ch. 14.3 - Prob. 3AP Ch. 14.3 - Prob. 4AP Ch. 14.3 - Prob. 5AP Ch. 14.4 - Prob. 6AP Ch. 14.4 - Using the circuit in Fig. 14.22, compute the...Ch. 14.4 - Prob. 8AP Ch. 14.4 - Prob. 9AP Ch. 14.5 - Design the component values for the series RLC...

Ch. 14.5 - Prob. 11AP Ch. 14 - Prob. 1P Ch. 14 - Prob. 2P Ch. 14 - Prob. 3P Ch. 14 - Prob. 4P Ch. 14 - Study the circuit shown in Fig. P14.5 (without the...Ch. 14 - Suppose we wish to add a load resistor in parallel...Ch. 14 - Use a 1 mH inductor to design a low-pass, RL,...Ch. 14 - Use a 10 mH inductor to design a low-pass passive...Ch. 14 - Prob. 9P Ch. 14 - Use a 500 nF capacitor to design a low-pass...Ch. 14 - Prob. 11P Ch. 14 - Prob. 12P Ch. 14 - Prob. 13P Ch. 14 - Prob. 14P Ch. 14 - Prob. 15P Ch. 14 - Prob. 16P Ch. 14 - Using a 100 μH inductor, design a high-pass, RL,...Ch. 14 - Prob. 18P Ch. 14 - Prob. 19P Ch. 14 - Prob. 20P Ch. 14 - Prob. 21P Ch. 14 - Prob. 22P Ch. 14 - Prob. 23P Ch. 14 - Prob. 24P Ch. 14 - Using a 50 nF capacitor in the bandpass circuit...Ch. 14 - Design a series RLC bandpass filter using only...Ch. 14 - Prob. 27P Ch. 14 - Design a series RLC bandpass filter using only...Ch. 14 - Prob. 29P Ch. 14 - Prob. 30P Ch. 14 - Consider the circuit shown in Fig. P14.31. Find...Ch. 14 - Prob. 32P Ch. 14 - The purpose of this problem is to investigate how...Ch. 14 - The parameters in the circuit in Fig. P14.33 are R...Ch. 14 - Prob. 35P Ch. 14 - Prob. 36P Ch. 14 - Prob. 37P Ch. 14 - Prob. 38P Ch. 14 - Prob. 39P Ch. 14 - Prob. 40P Ch. 14 - The input to the RLC bandreject filter designed in...Ch. 14 - Use a 500 nF capacitor to design a bandreject...Ch. 14 - Prob. 43P Ch. 14 - Prob. 44P Ch. 14 - Prob. 45P Ch. 14 - The parameters in the circuit in Fig. P14.45 are R...Ch. 14 - Prob. 47P Ch. 14 - Given the following voltage transfer function: At...Ch. 14 - Consider the series RLC circuit shown in Fig....Ch. 14 - Repeat Problem 14.49 for the circuit shown in Fig....Ch. 14 - Prob. 51P Ch. 14 - Design a DTMF high-band bandpass filter similar to...Ch. 14 - Prob. 53P

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