circuit 2 course review question from ch14
circuit 2 course review question from ch14 Question: Obtain the Transfer Function VI, for the circuit...
(i) Find the transfer function G(s) = Vo(s)/Vi(s) of this system using electrical impedances. Express the transfer function as a ratio of two s polynomials. (ii) Plot the output voltage v, as a function of time by means of the transfer function determined at (i) for an input voltage vi= 120e0.18 Volt, R2 = 110 9, R2 = 900, R3 = 100 0, L = 3H and C= 80-106 F. Use MATLAB's step command to plot volt). Also use Simulink...
1. Find the numerical expression for the transfer function from Vi(t) to V.(t), for each circuit below, and sketch the magnitude and phase of the transfer function, as functions of w. For these plots, show the w axis on a log 10 scale, and show the amplitude of the transfer function on a decibel scale. 0.1uF V(t) 0.1 uF 250mH V(t) 250mH 2k2 V(t) 10k2 0.25μF Vo(t)
1. Find the numerical expression for the transfer function from Vi(t) to V.(t),...
Derive the transfer function of the circuit in
Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the
form
Vo Vi = −R2/R1 [1+(ω1/jω)][1+j(ω/ω2)] whereω1=1/C1R1
andω2=1/C2R2.Assumingthatthecircuit is designed such that ω2 ω1,
find approximate expressions
for the transfer function in the following frequency regions: (a)
ωω1 (b) ω1 ωω2 (c) ωω2
Vo
FigureP2.93
Use these approximations to sketch a Bode plot for the magnitude
response. Observe that the circuit performs as an amplifier whose
gain rolls off at the low-frequency end in the manner of a
high-pass...
Find the transfer function for the system represented below. VR, () R2 R vi(t) (+ Oooo 110) 1200) Assuming R1=R2=100 12. VR2(S) Vi(s) Ls 1+ 2Ls VR2(S) Vis) 2 + Ls 1+ 2Ls VR2(S) Vi(5) Ls 10000 + 2Ls VR2(3) 100+ Ls Vi(S) 100 + 2Ls Ls VR2(s) Vis) 100 + 2Ls
2) An electric circuit is shown below. Obtain the transfer function using a system of equations and Cramer's Rule. + voll) 4 6 H 2 O (f 4 H
C V. Figure 2 A band-pass filter circuit This is the transfer function of a band-pass filter having R = R2 //R Center frequency, a[ 1/R' R C12 radians Bandwidth B2(R, C) radians Maximum Gain Ag- R/2R Band-Pass Filter Design Design a band-pass filter to obtain f-160 Hz, B-16 Hz and o- 10. Supply voltages of +20 and -20 Volts are available. Laboratory Measurements and Results . By applying sinusoidal voltage at the input and by varying its frequency, obtain...
2. Construct the non-inverting amplifier circuit below. Then, obtain input-output transfer function for R1=1K and R2=2.2K, E= 9V. Use a variable de voltage (5V de source and a variable 1k potentiometer) source as the input and measure the output voltage for different inputs. Draw the input-output transfer function from the measured input-output voltages. Proteus Table Vin Vout Measured Table Vin Vout Q2) Determine the voltage gain VO / Vin of the non-inverting amplifier. What is the output voltage range over...
For the circuit shown below, a) Determine the transfer function vo/vi b) Plot lVolvil versus ω c) Find the cutoff frequency, n. Vi C=40pF
The circuit shown in Figure 2 is called a lead-lag filter. a) Find the transfer function Vols)/Vis). Assume an ideal operational amplifier. b) Determine the partial fraction expansion for Vols)/V(s) c) Determine Volt) and plot the results. Comment on the response of the filter 3. C1 R2 C2 iSin looot RI M(s) Figure 2: Lead-Lag Filter
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Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...