Explanation Given data: Refer to Figure 14.49 in the textbook. The value of the corner frequency before scaling ( ω ) is 1 rad s . The value of the cutoff frequency after scaling ( f ′ ) is 10 kHz . The value of the scaled capacitor ( C ′ ) is 15 nF . Formula used: Consider the equations used in magnitude and frequency scaling. Write the expression to calculate the scaled resistor 1. R 1 ′ = K m R 1 (1) Here, K m is the magnitude scaling factor, and R 1 is the value of the resistor 1. Write the expression to calculate the scaled resistor 2. R 2 ′ = K m R 2 (2) Here, R 2 is the value of the resistor 2. Write the expression to calculate the scaled inductor L ′ = K m K f L (3) Here, K f is the frequency scaling factor, and L is the value of the inductor. Write the expression to calculate the scaled capacitor 1. C ′ 1 = 1 K m K f C 1 (4) Here, C 1 is the value of the capacitor 1. Write the expression to calculate the scaled capacitor 2. C ′ 2 = 1 K m K f C 2 (5) Here, C 2 is the value of the capacitor 2. Write the general expression to calculate the scaled corner frequency. ω ′ = 2 π f ′ (6) Here, f ′ is the value of the scaled cutoff frequency. Write the expression to calculate the scaled corner frequency. ω ′ = K f ω (7) Here, ω is the value of the corner frequency. Rearrange the equation (7) to find K f . K f = ω ′ ω Substitute the equation (6) in above equation to find K f . K f = 2 π f ′ ω (8) Calculation: The given circuit is redrawn as Figure 1. Substitute 10 kHz for f ′ and 1 rad s for ω in equation (8) to find K f . K f = 2 π ( 10 kHz ) ( 1 rad s ) = 20 π × 10 3 Hz ( 1 1 s ) { ∵ 1 k = 10 3 } = 20 π × 10 3 ( 1 s ) ( 1 1 s ) { ∵ 1 Hz = 1 1 s } = 2 π × 10 4 Substitute 15 nF for C ′ , 2 π × 10 4 for K f and 1 F for C 1 in equation (4). ( 15 nF ) = 1 K m ( 2 π × 10 4 ) ( 1 F ) Rearrange the above equation to find K m

EE 98: Fundamentals of Electrical Circuits - With Connect Access

6th Edition

ISBN: 9781259981807

Author: Alexander

Publisher: MCG

See similar textbooks

Question

Chapter 14.9, Problem 14PP

To determine

Scale the third-order Butterworth filter shown in Figure 14.49.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.8, Problem 13PP

Chapter 14.10, Problem 15PP

Students have asked these similar questions

4. a. Determine VDs for VGS = 0 V and ID = 6 mA using the characteristics of Fig. 6.11. b. Using the results of part (a), calculate the resistance of the JFET for the region ID = 0 to 6 mA for VGS = 0 V. c. Determine VDs for VGS = -1 V and ID = 3 mA. d. Using the results of part (c), calculate the resistance of the JFET for the region ID = 0 to 3 mA for VGS = -1 V. e. Determine VDs for VGS = -2 V and ID = 1.5 mA. f. Using the results of part (e), calculate the resistance of the JFET for the region ID = 0 to 1.5 mA for VGS = -2 V. g. Defining the result of part (b) as ro, determine the resistance for VGS = -1 V using Eq. (6.1) and compare with the results of part (d). h. Repeat part (g) for VGS = -2 V using the same equation, and compare the results with part (f). i. Based on the results of parts (g) and (h), does Eq. (6.1) appear to be a valid approximation?

A. Using D flip-flops, design a logic circuit for the finite-state machine described by the state assigned table in Fig. 1. Present Next State State Output x=0 x=1 Y2Y1 Y2Y1 YY Z 00 00 01 0 01 10 11 888 00 10 0 00 10 1 00 10 1 Fig. 1

Athree phase a.c. distributor AB has: A B C The distance from A to B is 500 m. The distance from A to C is 800 m. The impedance of each section is (6+j 8) /km. The voltage at the far end is maintained at 250 volt. Find: sending voltage, sending current, supply power factor and 80A 60 A total voltage drop. 0.8 lag. P.f 0.6 lead. p.f

Chapter 14 Solutions

EE 98: Fundamentals of Electrical Circuits - With Connect Access

Ch. 14.2 - Obtain the transfer function VoVs of the RL...Ch. 14.2 - Prob. 2PP Ch. 14.4 - Draw the Bode plots for the transfer function...Ch. 14.4 - Sketch the Bode plots for H()=50j(j+4)(j+10)2 Ch. 14.4 - Construct the Bode plots for H(s)=10s(s2+80s+400)Ch. 14.4 - Obtain the transfer function H() corresponding to...Ch. 14.5 - A series-connected circuit has R = 4 and L = 25...Ch. 14.6 - A parallel resonant circuit has R = 100 k, L = 50...Ch. 14.6 - Calculate the resonant frequency of the circuit in...Ch. 14.7 - For the circuit in Fig. 14.40, obtain the transfer...

Knowledge Booster

Scale the third-order Butterworth filter shown in Figure 14.49.

Solution Summary: The author explains how to scale the third-order Butterworth filter shown in Figure 14.49.

Scale the third-order Butterworth filter shown in Figure 14.49.

Want to see the full answer?

Chapter 14 Solutions