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2. For the following circuit: Vin ZRI a. (3 pts.) Redraw the circuit in the frequency...
Question 3: Filters (25 pts) High pas, eters For the filter circuit of Fig. 3, assume ideal opamp...
Question 3: Filters (25 pts) High pas, eters For the filter circuit of Fig. 3, assume ideal opamp Perform circuit analysis (s domain) to find the filter transfer function, T(s). 110 pts] Fig. 3 Nin b( Find expressions for the filter cutoff frequency and gain. acutoffof 10kHz and gain of리8 pts] n the RC C,: 628 C1 Vin Vo 1/RC' sempire the ec. Given the T(s) of filter of Fig. 3b. T(s)=ー, a- R1 filters of Fig. 3 and Fig....
3, 35%) Given the following circuit: ) Redraw the eircuit as a funetion of the complex...
3, 35%) Given the following circuit: ) Redraw the eircuit as a funetion of the complex frequency, including the component values and the physical wnits, bat with no initial conditions: b) Obtain the transfer funetion H) c) Calculate ..)for )-12uit) V using the Laplace Transform technique. Notice that this problem was also solved in the Practice Exam 1 (Probliem 4) using the time domain technique 1) Caloulste vt) for v.) tr)
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as...
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin V out Figure 2 Find the circuit transfer function, H() (i) [2] Given C 2uF, R= , draw the asymptotic Bode magnitude and phase plots for the (ii) circuit [7]
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin...
Show clear work, please and thank you! Will upvote. 4. (40 pts total, 10 pts per...
Show clear work, please and
thank you! Will upvote.
4. (40 pts total, 10 pts per part) Bode Plots! Consider the transfer function, H(ja) Vout(ja) Vinjo), plotted in the figure below. This is the transfer function of some linear circuit and tells us how the input and output are related, depending on the frequency. The time-domain input to the circuit is vin(t) = 10 mV cos (at). a. What is Vin(jo)? Express in polar notation (as a phasor) b. If...
1. Find the transfer function Voda)/Vin(a) for the circuit shown in Figure 1 of the lab (where co...
Please answer number 1
1. Find the transfer function Voda)/Vin(a) for the circuit shown in Figure 1 of the lab (where complex frequency variable s jo can be substituted for ease of analysis.) Calculate values for R and C such that the phase shift between the output and input is zero for an input frequency of 10kHz. What is the amplitude ratio (gain) of the output to the input at this frequency. 2. The RC network in figure 3 of...
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a)...
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(@) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. с R + + Vin(t) 0000 L Vout(t)
Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find...
Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find the transfer function H(jo) = Vo(jo)Vi(jo) 2. Find the gain of the transfer function | H(o) 3. Determin 4. Find the phase Ф(c) of the transfer function 5. Find Vo(t) if Vi(t) 100 cos(102 t) +60 cos (101 t) + 10 cos(106t) e the type of the filter. b) c) RVout Lo VoutVin Vin Vin Vin Vout Vout
Problem #1 (100pts) Consider the circuit shown in the Figure of three simpler circuits (stages). 1) Without solving...
Problem #1 (100pts) Consider the circuit shown in the Figure of three simpler circuits (stages). 1) Without solving for the transfer function find how each stage behaves versus frequency o 2) Using this information find how the total circuit behaves versus frequency 2) Find the transfer function for each stage 3) Find the transfer function of the total circuit 4) Plot the |H(jo) 2 as a cascade Av R4 R1 ww Vin Vout R3 Ov Stage II Stage II Stage...
Problem 1: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a)...
Problem 1: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(o) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. R + Vin(t) llll L Vout(t)
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t)...
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t) is a step function from 0 to 1V at t-0 2. Find transfer function in the s domain H( 3. Write the s-domain equation for Vout(s) if V1(s) is a 1V step function. 4. Write the equation of r of the circuit in terms of R's and C 5. Write the equation for the step response in the time domain. 6. You can either...
Question 3: Filters (25 pts) High pas, eters For the filter circuit of Fig. 3, assume ideal opamp Perform circuit analysis (s domain) to find the filter transfer function, T(s). 110 pts] Fig. 3 Nin b( Find expressions for the filter cutoff frequency and gain. acutoffof 10kHz and gain of리8 pts] n the RC C,: 628 C1 Vin Vo 1/RC' sempire the ec. Given the T(s) of filter of Fig. 3b. T(s)=ー, a- R1 filters of Fig. 3 and Fig....
3, 35%) Given the following circuit: ) Redraw the eircuit as a funetion of the complex frequency, including the component values and the physical wnits, bat with no initial conditions: b) Obtain the transfer funetion H) c) Calculate ..)for )-12uit) V using the Laplace Transform technique. Notice that this problem was also solved in the Practice Exam 1 (Probliem 4) using the time domain technique 1) Caloulste vt) for v.) tr)
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin V out Figure 2 Find the circuit transfer function, H() (i) [2] Given C 2uF, R= , draw the asymptotic Bode magnitude and phase plots for the (ii) circuit [7]
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin...
Show clear work, please and
thank you! Will upvote.
4. (40 pts total, 10 pts per part) Bode Plots! Consider the transfer function, H(ja) Vout(ja) Vinjo), plotted in the figure below. This is the transfer function of some linear circuit and tells us how the input and output are related, depending on the frequency. The time-domain input to the circuit is vin(t) = 10 mV cos (at). a. What is Vin(jo)? Express in polar notation (as a phasor) b. If...
Please answer number 1
1. Find the transfer function Voda)/Vin(a) for the circuit shown in Figure 1 of the lab (where complex frequency variable s jo can be substituted for ease of analysis.) Calculate values for R and C such that the phase shift between the output and input is zero for an input frequency of 10kHz. What is the amplitude ratio (gain) of the output to the input at this frequency. 2. The RC network in figure 3 of...
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(@) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. с R + + Vin(t) 0000 L Vout(t)
Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find the transfer function H(jo) = Vo(jo)Vi(jo) 2. Find the gain of the transfer function | H(o) 3. Determin 4. Find the phase Ф(c) of the transfer function 5. Find Vo(t) if Vi(t) 100 cos(102 t) +60 cos (101 t) + 10 cos(106t) e the type of the filter. b) c) RVout Lo VoutVin Vin Vin Vin Vout Vout
Problem #1 (100pts) Consider the circuit shown in the Figure of three simpler circuits (stages). 1) Without solving for the transfer function find how each stage behaves versus frequency o 2) Using this information find how the total circuit behaves versus frequency 2) Find the transfer function for each stage 3) Find the transfer function of the total circuit 4) Plot the |H(jo) 2 as a cascade Av R4 R1 ww Vin Vout R3 Ov Stage II Stage II Stage...
Problem 1: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(o) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. R + Vin(t) llll L Vout(t)
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t) is a step function from 0 to 1V at t-0 2. Find transfer function in the s domain H( 3. Write the s-domain equation for Vout(s) if V1(s) is a 1V step function. 4. Write the equation of r of the circuit in terms of R's and C 5. Write the equation for the step response in the time domain. 6. You can either...
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