The transfer function of a filter is given as: \[ H(j\omega) = \frac{4}{2 + j\omega/0.1} \]Tasks:(i) Determine the cutoff frequency (in Hz).(ii) Calculate the gain and phase of \( H(j\omega) \) at \( \omega = 2 \) rad/s.(iii) Determine the type of filter (lowpass, highpass, bandpass, bandreject). Justify your answer.

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Answered: 4 The transfer function of a filter is…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Series and parallel circuits are made from the same components as follows. A coil of resistance 300 ohm and inductance 100mH and a 4000pF capacitor are connected (i) in series and (ii) in parallel. (A) Find for each connection: (i) the resonant frequency, (ii) the Q-factor (iii) the impedance at resonance and (iv) draw the respective circuits and response curves.
3. You are to design a microphone pre-amplifier that passes frequencies between 30HZ and 1.2kHz. At the center frequency (fo) the gain of the amplifier is to be 40 dB's. Design the amplifier according to the specifications listed above. Note that a power supply is available to power the pre-amp. Determine suitable values for the system components to meet the design specifications. Build and generate a Bode plot of your results. Measure the center frequency and half-power frequencies of your pre-amp and compare with specifications. Comment on the results and be sure to include a schematic of your circuit and Bode plot.
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Problem 5. Find the transfer function Tv(s) = V₂(s)/V₁(s) of the circuit in Figure 5. (a) Find the de gain, infinite frequency gain, and cutoff frequency. Identify the type of gain response. (b) Sketch the straight-line approximation of the gain response. (c) Calculate the gain at w = 0.25wc, 0.5wc, and wc. (d) Use MATLAB to plot the Bode magnitude gain response of the circuit. Validate your answers for part (c). Help on part D + 470 Ω ww v₁(t) 50 mH 470 Ω Figure 5: + v₂(t)
We have a biomedical measurement set-up that can be modeled as a second order system with natural resonance frequency 15.9 Hz, damping coefficient 0.707 and gain 10.a. Determine the transfer function of the system.b. Determine the differential equation representing the system.c. Design the system in block diagram form using integrators, constant multipliers, and summing junction.d. Determine the step response of the system and draw it showing all important amplitude and time values on the plot.
can i have help with parts d-f
Use the image below to help answers parts a and b.in an LRC type circuit series the inductive reactance is XL=484 ohms. and I=0.8 amps is the measured current amplitude.A) In the inductor determine the amplitude of the voltage.B)If the LRC circuit is at resonance frequency find the capacitive reactance.
1.BOlu.. In the system shown in Figure (a), m(t). It represents a low frequency signal with a bandwidth of w Hz. H(), which is the frequency response of the band-pass filter. It is given in Figure (b). Since the output signal is desired to be ze=10-x(+), which of the following must the maximum value of the W bandwidth (in Hz) be lower? x() - m(t)-cos(2400zr1)| () = 10x(1)+x²(1) z(1) Strengthening Band-Pass Filtered Şekil (a) H(S) S(Hz) -1700 -700 700 1700 Şckil (b) Figure (b) O 450 Hz O 550 Hz About 550 Hz O 250 Hz About 250 Hz

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4 The transfer function of a filter is given as: H(@) = (i) Determine the cutoff 2+ jøl0 frequency (in Hz) , (ii) Calculate the gain and phase of H(@) at o = 2 rad/s., (iii) Determine the type of filter (lowpass, highpass, bandpass, bandreject). Do justify your answer.