+ L& lin(t) (t C= R L Vout(t) Given R = 23, L = 157µH,C = 12µF. a). Derive the expression for the magnitude component of system frequency response |Ĥ(ƒ)| in terms of frequency f. In your answer please use 'pi' to represent π, and DO NOT evaluate it numerically: |Ĥ(ƒ)| = help (formulas). b). Derive the expression for phase component of system frequency response OH (ƒ) in terms of frequency f. In your answer please use 'pi' to represent π, and DO NOT evaluate it numerically: OH(f) = help (formulas). c). Calculate the half-power frequency(ies) of the system. Please list all correct answers as a comma separated list. fHP = kHz help (numbers). d). Calculate the center frequency fc and |Ĥ(fc)|· fc = kHz help (numbers),

+ L& lin(t) (t C= R L Vout(t) Given R = 23, L = 157µH,C = 12µF. a). Derive the expression for the magnitude component of system frequency response |Ĥ(ƒ)| in terms of frequency f. In your answer please use 'pi' to represent π, and DO NOT evaluate it numerically: |Ĥ(ƒ)| = help (formulas). b). Derive the expression for phase component of system frequency response OH (ƒ) in terms of frequency f. In your answer please use 'pi' to represent π, and DO NOT evaluate it numerically: OH(f) = help (formulas). c). Calculate the half-power frequency(ies) of the system. Please list all correct answers as a comma separated list. fHP = kHz help (numbers). d). Calculate the center frequency fc and |Ĥ(fc)|· fc = kHz help (numbers),

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

The time-domain signal shown in the top plot is comprised of the sinusoidal waveforms shown in the second plot i.e. it is the sum of those sinusoids. Which of the three frequency-domain representations, time-domain plot. Amplitude Amplitude OC A B Magnitude Magnitude Magnitude 40° 1 1 2 2 0.2 0.2 0.2 3 3 0.4 1 0.4 0.4 4 5 Time (seconds) 6 5 Time (seconds) 0.6 Frequency (Hz) 0.6 Frequency (Hz) 0.6 Frequency (Hz) 7 0.8 4 0.8 0.8 8 9 9 A, B, or C, corresponds to the 1 1 10 10 A B C
The time-domain signal shown in the top plot is comprised of the sinusoidal waveforms shown in the second plot i.e. it is the sum of those sinusoids. Which of the three frequency-domain representations, A,B, or C, corresponds to the time-domain plot. Amplitude B 10 of -10 0 Amplitude 2050 Magnitude Magnitude Magnitude Lo LO 0.1 0.1 1 0.2 0.2 2 2 2 0.3 0.3 4 3 3 ↑ 3 4 4 4 0.4 0.5 0.6 Time (seconds) 0.4 0.5 0.6 Time (seconds) 6 5 Frequency (Hz) 5 6 Frequency (Hz) 5 6 Frequency (Hz) 7 7 7 0.7 0.7 0.8 8 4 da 8 0.8 8 9 9 9 0.9 10 10 10 1 1 11 11 11 A B C
Voltage v1 = 2sin20,000πt is multiplied by voltage v2 = 2sin2000πt. Draw a graph of the amplitude spectrum for v = v1 × v2 similar to the one shown.. (Note. In electronics the product is often called mixing because it produces a signal that contains output frequencies that are not in the input signal but depend directly on the input frequencies.)
2. (b) A periodic composite signal is composed of 2 sine waves(S1,S2). The frequency (f) and maximum amplitude (A) of each sign wave is given below: S1:f = 5KHZ , A = 6V S2 :f = 8Khz , A = 4V Draw a frequency domain graph to represent this information. What is the bandwidth?
Q5) For the signal f(t) = cos2(t) - sin(t) %3D al Deter na if the sinnal f(t) is a nori c) Sketch two-sided amplitude spectrum of the signal f(t). d) Sketch two-sided magnitude spectrum of the signal f(t). e) Calculate the power of the signal using frequency domain.
Determine the fundamental frequency ?0 and the fundamental period ?0 for the two continuous-time multi-tone periodic signals.a. ?1(?) = cos(2.4??) + cos(4??)b. ?2(?) = sin(4.9??) + cos(7??)
Determine whether the following discrete-time signals are periodic, and, if so, state the fundamental period, No. a. a[n] = 0.5 cos("/6n+"/3) b. b[n] = E=-0 8[n – 6k] c. c[n] = 0.5 sin(3n) A continuous valued 9 kHz sinusoid is sampled at a rate of 48k samples/sec to produce a sequence x[n]. Determine if the sequence is periodic and if so, what is No, the period. Let x[n] 0.8"u[n] and y[n] = (-0.8)"u[n] Plot x[n] and y[n] for n = -2, -1, ... , 4, 5 b. Find En=-ox[n] Find En=-o y[n] а. c. Find the energy in x[n] Find the energy in y[n] d. е. A discrete time system is described by the difference equation y[n] : x[n] is the input and y[n] is the output. Plot y[n] for: х[п] — x[п — 1], where а. x[n] = 8[n] b. x[n] = u[n] - [n – 3]
i. ii. iii. iv. Suppose that a periodic signal is defined as 2 q(t) = cos(3nt) Σ(k+j1.5) j5 k+j1.5) ej8nkt k=-2 Prove that the signal qt) is real-valued. Determine the fundamental period of q(t). Determine the DC value of q(t). What is the value of q (0.2).
A sinusoidal function has a frequency of 3 , a maximum value of 15 , a minimum value of -3, and a y-intercept of 6 . Which function could be the function described?
QUESTION 7 For this circuit R= 100 Q and C =10 pF. f vino = 50 cos(2000t), find the amplitude of vout %3D Vane (t) V) の A. 22.36 V O B. 50 V OC. 35.36 V O D. 44.72 V
Given the discrete-time sinusoid a (n) = 2cos(nn/2) + sin(3nt/4), ignoring the effects of aliasing, if this was due to sleeping rate F, = 70 Hz. What are the frequencies of the continuous time cosine and sine functions? O a. Cosine is 35.00 Hz, Sine is 52.50 Hz O b. Cosine is 23.33 Hz, Sine is 52.50 Hz O c. Cosine is 23.33 Hz, Sine is 46.67 Hz O d. Cosine is 35.00 Hz, Sine is 46.67 Hz O e. Cosine is 35.00 Hz, Sine is 105.00 Hz O f. Cosine is 23.33 Hz, Sine is 105.00 Hz
Electronic Since k = 0.35x10^3, VGSQ = 6.2 V, VGS(Th) = 2.4 V, RF = 100 MΩ, RG = 10 MΩ, RD = 7.6 kΩ, RS = 2.2 kΩ and RL = 21 kΩ in the circuit in the figure, the output voltage In which option is the amplitude value (Vout) given correctly? NOTE-1: E-MOSFET output impedance is rd = 70 kΩ and should be taken into account in calculations. NOTE-2: Capacitors are of negligible size at mid-band frequency. NOTE-3: It is within the 5 kHz mid-band frequency.