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Could someone please write worked solutions? Thanks R. Figure 1 Consider the filter circuit that is...
C1 Problem 2. Active Filter For the active filter shown in the figure a) Write the...
C1 Problem 2. Active Filter For the active filter shown in the figure a) Write the node equations by taking Laplace Transform 1/G 1/G oVolt) of the circuit first. Then simplify the equations and write your final answer in matrix form. 2 b) Find the transfer function from Vi(s) to Vo(s). Simplify it properly (the denominator should be monic) Note: Using the conductance G-1/R leads to simpler equations.
Q.2 (a) Given a series RL circuit as shown in Figure Q.2(a). 1092 vit) 20mF V.(t)...
Q.2 (a) Given a series RL circuit as shown in Figure Q.2(a). 1092 vit) 20mF V.(t) Figure 2.2(a) (i) V.(s) Determine the transfer function, Vi(s) (4 marks) Sketch the magnitude and phase Bode plots for the above transfer function. (4 marks) (iii) Determine the filter type. (2 marks) (b) For a low pass filter application, following signal is channeled through a Butterworth filter; x(t) = 2 sin ( 10Tt - (10nt -) + 3cos (50nt -) + Ssin (100nt +...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t)...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t) Figure 4 a) Draw the circuit in the Laplace domain, and then apply basic circuit theory in the Laplace domain to show that the Laplace transfer function H(s) defined for this system is: HS) V.(5) V (5) sta where a= RC [8 Marks] b) Use Laplace methods to determine the output voltage vo(t) when the input voltage is defined as: v (1) 40(1) The...
the circuit is figure 1 a) Consider the electrical circuit in Figure 1. Determine the state...
the circuit is figure 1
a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) [10 MARKS] 112 112 192 M + + vi(t) 1 H llll 1 H elle 1F HE vo(t)
1. Derive the transfer function for the low pass filter shown in Figure 1. The general...
1. Derive the transfer function for the low pass filter shown in Figure 1. The general form is: H(s) w? W. s2 + +w? 2. Determine the component values by equating the derived transfer function to the general transfer function to meet the following specifications: a) fc = 2 kHz, and Q = 0.7071 for a Butterworth response. HH Vi R R C2 HHI Figure 1. Low-Pass Filter
Consider the series RLC bandpass filter shown in (Figure 1). The filter has a quality of...
Consider the series RLC bandpass filter shown in (Figure 1). The filter has a quality of 2 and a center frequency of 8 kHz. The input to the filter is vi (t) = 23 cos wt V. Suppose that C = 5 nF. Figure < 1 of 1 + VLC с L HE + + Vi R} R V. Part E Find the voltage drop across the series combination of the inductor and capacitor when w=10w, Suppose that vlc (t)...
Question 1 a) Consider the electrical circuit in Figure 1. Determine the state space representation of...
Question 1 a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) (10 MARKS] 122 112 112 M + + vi(t) 1 H llll 1 H elle 1F vo(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
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)
For the Multi Feedback Topology Band-pass Filter circuit shown in Figure 1 below, confirm the transfer...
For the Multi Feedback Topology Band-pass Filter circuit shown in Figure 1 below, confirm the transfer function H(s) given below 0 Figure 1: Multiple Feedback Topology Band-pass Filter (MFT BPF) Vo SR で 1 Ri R3 2R TR2C where the filter's parameters are o f: middle (center) frequency in Hz o Am: gain at middle frequency, fm, in V/V o B: bandwidth between half power frequencies in Hz o Q: quality factor. One of the nice features of this circuit...
C1 Problem 2. Active Filter For the active filter shown in the figure a) Write the node equations by taking Laplace Transform 1/G 1/G oVolt) of the circuit first. Then simplify the equations and write your final answer in matrix form. 2 b) Find the transfer function from Vi(s) to Vo(s). Simplify it properly (the denominator should be monic) Note: Using the conductance G-1/R leads to simpler equations.
Q.2 (a) Given a series RL circuit as shown in Figure Q.2(a). 1092 vit) 20mF V.(t) Figure 2.2(a) (i) V.(s) Determine the transfer function, Vi(s) (4 marks) Sketch the magnitude and phase Bode plots for the above transfer function. (4 marks) (iii) Determine the filter type. (2 marks) (b) For a low pass filter application, following signal is channeled through a Butterworth filter; x(t) = 2 sin ( 10Tt - (10nt -) + 3cos (50nt -) + Ssin (100nt +...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t) Figure 4 a) Draw the circuit in the Laplace domain, and then apply basic circuit theory in the Laplace domain to show that the Laplace transfer function H(s) defined for this system is: HS) V.(5) V (5) sta where a= RC [8 Marks] b) Use Laplace methods to determine the output voltage vo(t) when the input voltage is defined as: v (1) 40(1) The...
the circuit is figure 1
a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) [10 MARKS] 112 112 192 M + + vi(t) 1 H llll 1 H elle 1F HE vo(t)
1. Derive the transfer function for the low pass filter shown in Figure 1. The general form is: H(s) w? W. s2 + +w? 2. Determine the component values by equating the derived transfer function to the general transfer function to meet the following specifications: a) fc = 2 kHz, and Q = 0.7071 for a Butterworth response. HH Vi R R C2 HHI Figure 1. Low-Pass Filter
Consider the series RLC bandpass filter shown in (Figure 1). The filter has a quality of 2 and a center frequency of 8 kHz. The input to the filter is vi (t) = 23 cos wt V. Suppose that C = 5 nF. Figure < 1 of 1 + VLC с L HE + + Vi R} R V. Part E Find the voltage drop across the series combination of the inductor and capacitor when w=10w, Suppose that vlc (t)...
Question 1 a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) (10 MARKS] 122 112 112 M + + vi(t) 1 H llll 1 H elle 1F vo(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
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)
For the Multi Feedback Topology Band-pass Filter circuit shown in Figure 1 below, confirm the transfer function H(s) given below 0 Figure 1: Multiple Feedback Topology Band-pass Filter (MFT BPF) Vo SR で 1 Ri R3 2R TR2C where the filter's parameters are o f: middle (center) frequency in Hz o Am: gain at middle frequency, fm, in V/V o B: bandwidth between half power frequencies in Hz o Q: quality factor. One of the nice features of this circuit...
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