![Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d) Plot the magnitude and the phase of the frequency transfer function, H(f), versus the frequency (in Hz) using MATLAB. [Note: You will need to have two plots; one plot for the magnitude and a second plot for the phase.] In one plot, show the input and the output of the circuit ifs() for t E (e) 5 cos(10π) +5 cos 1000nt)+5 cos(5000 t) s, where t, with fmax being the maximum frequency of the input signal (in [Hzl). [0, 100,](http://img.homeworklib.com/questions/fd732920-35c1-11eb-95e4-918cc6295999.png?x-oss-process=image/resize,w_560)
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Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the transfer function | H | starting from the nodal equations. b) Find the phase shift of the transfer function (W) c) Find the cutoff frequency fc in Hz d) Is this a high pass or low pass filter? e) Find the passband gain of the filter 62 k2 ANA EVA 22 nF 3.3k f) Given the following input signal: vi(t) = 1.0 sin(2nft +...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge Vout to the input voltage vin. What is the transfer function? What is the time constant of the system? Vout Figure 1: RC Circuit What is the analytical step response solution in terms of vin, Rand C? For assumed values of R 1 K, and C 6.8 uF, perform a simulation using Matlab/Simulink assuming an input square wave signal of 5Vpp,...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the Table P5 Table P5 Frequency Magnitude Phase 0 rad/s 50 500 4500 10000 dB -40 -20 -3 0 90 90 45 a) Find an expression for the output signal Vo(t) when input signal is vs(t)-10 sin(4500t+10) b) Find a steady-state expression for Vo(t) when input signal is vs(t)-50 cos(50t-45°).u(t) c) Find a steady-state expression for vo(t) when input signal is vs(t)-15 sin(10000t+550).u(t) d)...
A filtering circuit is given in Figure1 v¡(t) uo(t) R2 Figure 1: Filter circuit for Problem...
A filtering circuit is given in Figure1 v¡(t) uo(t) R2 Figure 1: Filter circuit for Problem 1 (1.a) Derive the transfer function H(s) = V(s)/V(s) for this filter network. (5 marks) (1.b) Determine the magnitude |H(ju) and phase (jw) of the frequency response of the filter network. (2 marks) (1.c) What type of filter is this? What might it be used for? Justify your answer. (3 marks)
Problem 2 An RC circuit ( with an active component) has the following transfer function (where...
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the ga...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of the circuit; 3. Identify the type of filter the circuit is, and state the break (cut off) frequency. R1 v(t)Vcos(ut) L1 R2 Figure 1
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C = 1 F and L=1 H. Assume V (t) as input and i(t) as output E ER V.(t) a) (5 pts) Determine the differential equation of the system b) (5 pts) Find the transfer function of the system c) (20 pts) Write the symbolic expressions of magnitude and phase of the transfer function d) (20 pts) Determine the expression of steady-state response of the...
etermine the transfer function of the circuit where i^(t) is the output variable and v.ct) is...
etermine the transfer function of the circuit where i^(t) is the output variable and v.ct) is the input variable. Generate the Bode plot showing the frequency response of the circuit. Only show the asymptotic plot of the terms making the transfer function as 5 H 10 k2 10 H 25 H 62.5 nF U) well as the composite plot for both the magnitude and phase.
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the transfer function | H | starting from the nodal equations. b) Find the phase shift of the transfer function (W) c) Find the cutoff frequency fc in Hz d) Is this a high pass or low pass filter? e) Find the passband gain of the filter 62 k2 ANA EVA 22 nF 3.3k f) Given the following input signal: vi(t) = 1.0 sin(2nft +...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge Vout to the input voltage vin. What is the transfer function? What is the time constant of the system? Vout Figure 1: RC Circuit What is the analytical step response solution in terms of vin, Rand C? For assumed values of R 1 K, and C 6.8 uF, perform a simulation using Matlab/Simulink assuming an input square wave signal of 5Vpp,...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the Table P5 Table P5 Frequency Magnitude Phase 0 rad/s 50 500 4500 10000 dB -40 -20 -3 0 90 90 45 a) Find an expression for the output signal Vo(t) when input signal is vs(t)-10 sin(4500t+10) b) Find a steady-state expression for Vo(t) when input signal is vs(t)-50 cos(50t-45°).u(t) c) Find a steady-state expression for vo(t) when input signal is vs(t)-15 sin(10000t+550).u(t) d)...
A filtering circuit is given in Figure1 v¡(t) uo(t) R2 Figure 1: Filter circuit for Problem 1 (1.a) Derive the transfer function H(s) = V(s)/V(s) for this filter network. (5 marks) (1.b) Determine the magnitude |H(ju) and phase (jw) of the frequency response of the filter network. (2 marks) (1.c) What type of filter is this? What might it be used for? Justify your answer. (3 marks)
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of the circuit; 3. Identify the type of filter the circuit is, and state the break (cut off) frequency. R1 v(t)Vcos(ut) L1 R2 Figure 1
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C = 1 F and L=1 H. Assume V (t) as input and i(t) as output E ER V.(t) a) (5 pts) Determine the differential equation of the system b) (5 pts) Find the transfer function of the system c) (20 pts) Write the symbolic expressions of magnitude and phase of the transfer function d) (20 pts) Determine the expression of steady-state response of the...
etermine the transfer function of the circuit where i^(t) is the output variable and v.ct) is the input variable. Generate the Bode plot showing the frequency response of the circuit. Only show the asymptotic plot of the terms making the transfer function as 5 H 10 k2 10 H 25 H 62.5 nF U) well as the composite plot for both the magnitude and phase.
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