For this problem, consider the block diagram below: F(s) S 0.5 −5 X(s) Your tasks: A. Derive the transfer function H(s) = X(s)/F(s) for the given block diagram. B. Does the system have a natural frequency and damping ratio? If so, what are they? C. Determine the response of the system a(t) if the input F(s) is the unit delta function F(s) = 8(t).

For this problem, consider the block diagram below: F(s) S 0.5 −5 X(s) Your tasks: A. Derive the transfer function H(s) = X(s)/F(s) for the given block diagram. B. Does the system have a natural frequency and damping ratio? If so, what are they? C. Determine the response of the system a(t) if the input F(s) is the unit delta function F(s) = 8(t).

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

A sinusoid signal x(t) has double-sided spectrum representation shown below 6 10 -50 5 -20 10 0 a- Write an equation for analog signal x(t). b- Suppose that the signal is sampled to produce the sequence x[n], where sampling frequency is [70+ M] Hz, what is the discrete-time signal after sampling. In addition, state whether or not has been aliased. 6 20 50 f (in Hz)
PROBLEM NUMBER THREE Find the transfer function relating the 0,(s) to T(s) for the rotational mechanical network shown. Express your transfer function in a form where the coefficient of the highest exponent of s in the denominator is equal to 1. Provide the numerator and the denominator of your transfer function in the box provided. If the answer is an expression with an exponent, kindly use the exponent feature in the "Text Options". If there is a numerical answer that is nonterminating, it should be expressed up to 2 decimal places only. ... O(1) 18 N-m-s/rad 1 N-m-s/rad T) 02(1) 5 kg-m? 3 kg-m2 0000 9 N-m/rad 3 N-m/rad
1. Suppose you have multiple sinusoidal signal sources with four different frequencies where fj-4, f;=3, fz=2, f4=1 and their amplitudes Aj=A2=A3=A4=1. Together these signals form the message (modulating) signal (as shown in the figure below). Now, create a MATLAB program using built-in functions to generate the DSB Amplitude Modulated signal, and then recover the original signal (generate the Demodulated signal) from the modulated signals for time 0
Draw the waveform of the following signal (draw from n=0 to n=5 only): X(n)=3u(n)-2r(n-2)+4r(n-3) Also draw y(n)=x(-n) Where, u(n) and r(n) are unit step, unit ramp DT functions, respectively
Q.4: Choose the suitable choice for the following sentences. 1. At any resonant circuit the input impedance is ....... a. XL. b. RT. c. XC. 2. The locus of inductive load is a vector in the …... quadrant. a. 4th. b. 2nd. c. 3rd. 3. For non-sinusoidal input signal, the power dissipated in a resistance is equal to ............ a. 2I2R. b. Iav2R. c. Ieff2R. 4. Applying Kirchhoff's laws to RL & RC transient circuits produces Equations of type:a. Time-Depend. b. Time-Variable. c. Differential. 5. The Differential Equations applied RL & RC transient circuits are:a. Third-order b. Second-order c. First-order 6. Electrical energy is stored in ........ a. Inductance. b. Capacitance. c. Both-of-them. 7. .......... is obtained in parallel resonance circuit. a. Vmax. b. Imax. c. Pmax. 8. The total impedance angle is ............ on the frequency of the harmonic.a. Dependent. b. Independent. c. Both-of-them. 9. In transient circuit, the capacitor behaves as ................ when the switch…
This is a practice question from my Introduction to Circuits course. I am having a hard time finding the poles for this. When I implement the circuit in LT Spice, I can see that the cutoff frequency is somewhere around 16kHz, but I can't figure out how to come up with that value mathematically. It is underdamped; so, will have imaginary components, but I'm lost as to how to find them or what to do with them or how to come up with the correct cutoff frequency to match LT Spice. Thank you for your assistance.
The spectrum of the sampled signal may be obtained without overlapping only if a. fs ≥ 2fm b. fs fm d. fs < fm
Please provide Handwritten answer. Electrical Engineering It is a common practice to low-pass filter signals before feeding them into an A/D Converter. The purpose of this filter is to eliminate any noise or other frequency components beyond a useful frequency range. For instance, if you are recording ECG, you would low-pass filter it at 100Hz because there is no useful frequency components beyond 100Hz and if there is any component that would be noise. What problem arises during sampling of the signal by the A/D Converter if this pre-filter is not used? How does the sampling frequency need to be adjusted with and without the pre-filter? Answer the question considering Nyquist theorem.
What is the z-transfer function of the system
In the figure, the input signal of the system is x (t) and the output signal is y (t). In this system, there is a sub-system with frequency response H (f). The frequency response H (f) of this subsystem is given at the top of the figure and defined as c = 800, k = 2. In addition, the frequency of the cosine signal shown in the figure is given as fc = 4000.x(t)= 4cos(8000πt).cos(1200πt)Find the output signal Y (t) and calculate the value at t = 1/4 , Y = 1/8 =?Given that the input signal of this system x (t) is defined as
A sinusoid signal v(n) = 5 sin( @₂ .n) with f=5 Hz and fs = 10 kHz has to be quantized @ (Vq(n) = Q[v(n)]) with a midtreat quantizer. The range of the signal is ±5 V and the word length of the quantizer 4 bits. The quantizer is at digital full scale. (a) How many quantization levels L does the quantizer have? What is the value of A? (b) Sketch the input-output characteristic of the quantizer. How different is a midtreat quantizer to a midrise quantizer. (c) For time index n = 1250 calculate the quantized value v₁ (n), the quantization error eq(n) and represent vą (n) using RZ code. (d) Calculate the power P of the quantization noise. (e) Determine the SNR in dB.
Equation Q4 shows a sinusoidal message signal, v(t). v(t) = 2 cos(10000nt) + 5 cos(2 + 20000nt).Equation Q4 A Pulse Code Modulation (PCM) technique which uses a uniform quantizer is applied in converting the v(t) to a binary signal. The signal is sampled at a rate of 15% above the Nyquist for practical reasons and the samples are quantized into 65,536 levels. Based on the digital technique used, a) compute the minimum bandwidth required to encode and transmit the signal b) compute the amount of bandwidth increase in percentage after the information signal has been digitized. c) compute signal-to-quantization noise ratio at the output of the quantizer if the quantization levels given in Q4(a) have been quartered, compute the new signal-to-quantization noise ratio at the output of the quantizer d)