![1-12028109-dt-content-rid-13237982 1/users/santi/Exams301/Exam2F04.pdi 30pt] Consider the opamp circuit shown below. 1. Write the transfer function Vo(s) GS)- V(s) G6)- 76) 2. What are the poles and zeros? 3. What is the DC gain? 4. What is the high frequency gain? 5. Sketch the magnitude Bode plot.](http://img.homeworklib.com/questions/0375ce00-b8d3-11ea-bdf4-1d7a88c46d99.png?x-oss-process=image/resize,w_560)
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1-12028109-dt-content-rid-13237982 1/users/santi/Exams301/Exam2F04.pdi 30pt] Consider the opamp circuit shown below. 1. Write the transfer function Vo(s) GS)-...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the tr...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below....
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the...
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros....
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
Derive the transfer function of the circuit in Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the form Vo Vi = −R2/R1...
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...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
4. Draw the magnitude characteristic of the Bode plot of the following transfer function: 10s H...
4. Draw the magnitude characteristic of the Bode plot of the following transfer function: 10s H (s) =-= (s+1)(s+102 L7n Identify the poles and zeros Sketch the magnitude plot. The y-axis should be in dB. The x-axis should logarithmic, but labeled in rad/sec Use MATLAB to draw the complete Bode plot and check your answer. If the input current is un(t) = 2 cos(20t + 5°), what is the output voltage. Use your MATLAB Bode plot to answer this a)...
5. Draw the magnitude characteristic of the Bode plot of the following transfer function: H(s)10(10s +11...
5. Draw the magnitude characteristic of the Bode plot of the following transfer function: H(s)10(10s +11 (S + 200)2 Identify the poles and zeros Sketch the magnitude plot. The y-axis should be in dB. The x-axis should logarithmic, but labeled in rad/sec e) f) g) Use MATLAB to draw the complete Bode plot and check your answer. h) If the input current is VIN(t)-10 cos(t+35"),what is the output voltage. Use your MATLAB Bode plot to answer this.
VW 400 50 10 R2 VO CS 20pF vin The circuit above shows an opamp used...
VW 400 50 10 R2 VO CS 20pF vin The circuit above shows an opamp used in a non-inverting configuration. The plot above it shows the open-loop gain magnitude (solid line) and phase (dotted line) of the opamp. The opamp has 20pF of parasitic capacitance at its negative input due to cabling and bad PCB layout. a) Derive an expression for the frequency-dependent feedback parameter B(w) for this amplifier. b) What is the closed-loop gain of this amplifier at frequencies...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
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...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
4. Draw the magnitude characteristic of the Bode plot of the following transfer function: 10s H (s) =-= (s+1)(s+102 L7n Identify the poles and zeros Sketch the magnitude plot. The y-axis should be in dB. The x-axis should logarithmic, but labeled in rad/sec Use MATLAB to draw the complete Bode plot and check your answer. If the input current is un(t) = 2 cos(20t + 5°), what is the output voltage. Use your MATLAB Bode plot to answer this a)...
5. Draw the magnitude characteristic of the Bode plot of the following transfer function: H(s)10(10s +11 (S + 200)2 Identify the poles and zeros Sketch the magnitude plot. The y-axis should be in dB. The x-axis should logarithmic, but labeled in rad/sec e) f) g) Use MATLAB to draw the complete Bode plot and check your answer. h) If the input current is VIN(t)-10 cos(t+35"),what is the output voltage. Use your MATLAB Bode plot to answer this.
VW 400 50 10 R2 VO CS 20pF vin The circuit above shows an opamp used in a non-inverting configuration. The plot above it shows the open-loop gain magnitude (solid line) and phase (dotted line) of the opamp. The opamp has 20pF of parasitic capacitance at its negative input due to cabling and bad PCB layout. a) Derive an expression for the frequency-dependent feedback parameter B(w) for this amplifier. b) What is the closed-loop gain of this amplifier at frequencies...
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