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Parallel Resonance
Problem: 5,4 Middle Eas Let Vs-10cosatV in the circuit of Figure below. Determine: a....
Consider the circuit in Figure 3. 36 AO() +04 16 ml Figure 3: The circuit for...
Consider the circuit in Figure 3. 36 AO() +04 16 ml Figure 3: The circuit for Q3 (a) Determine the resonant frequencies, (rad/s) and f. (Hz) of the tank circuit (b) Find the quality factor Qof the circuit at resonance. (c) Calculate the voltage across the circuit at resonance. (d) For currents through the inductor and the resistor at resonance. (e) Determine the bandwidth of the circuit in both radians per second and hertz. (Sketch the voltage response of the...
(a) For the circuit of Figure 4, assuming a sinusoidal is(t) (0) Prove that the resonant frequeney is given by o- (3 marks) LC (ii) If the total admittance at resonance is 20 ms (seen by the source)...
(a) For the circuit of Figure 4, assuming a sinusoidal is(t) (0) Prove that the resonant frequeney is given by o- (3 marks) LC (ii) If the total admittance at resonance is 20 ms (seen by the source) with resonant frequency of wo 5000 rad/s and quality factor of Q-10, calculate the values of R L, C, the bandwidth and half-power frequencies in Hertz. (4 marks) VG and hence show (iii) Derive an expression for the driving point impedance Z(jø)...
Problem 4. (25 points) For The parallel resonance circuit shown a) Find the resonance frequency fp....
Problem 4. (25 points) For The parallel resonance circuit shown a) Find the resonance frequency fp. b) Find the voltage VC at resonance frequency. c) Find the Bandwidth BW d) Find the cutoff frequencies fl & f2 R1-10Ok2 RL-100 E-400 v
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...
The below figure shows a series resonant circuit energised by a sinusoidal 10V rms source. In...
The below figure shows a series resonant circuit energised by a
sinusoidal 10V rms source. In all calculations below, use
approximations if they are appropriate.
(i) What is the resonant angular frequency of the circuit with
the component values as given above?
(ii) What is the Q factor of the circuit?
(iii) What are the half-power angular frequencies of the
circuit?
(iv) What current passes through the 30
resistance at resonance?
A resistor of 6
is now connected between terminals...
51 For the low pass filter in figure 5 find: [2 Marks] Cutoff(Critical) frequency Output Voltage...
51 For the low pass filter in figure 5 find: [2 Marks] Cutoff(Critical) frequency Output Voltage at Cut off frequency 4.7 k C 1020 V 10 F Figure 5 6 Find at resonance from figure 5: [3 Marks] a. Resonant Frequency. d. Quality factor. e. Bandwidth b. Impedance at resonance f. Current at the half power Current at resonance. c. Vs 10 v L-1mH C-10uF R-102 C L R V Figure 5
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H....
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H. Show that the transfer function H(s) is: 1 (5) H(S)= (5) + +1 L102 107 (a) Plot the pole-zero diagram of H(s). (b) What filter is given by H(s)? Why? (e) Determine the resonant frequency 0o, the quality factor Q, the cut-off frequencies 01 and 02 and the bandwidth B. i (0) it) R Fig. 4.4
2. For the circuit shown in (c), above, let R-200, L--10mH, and C-001μF. a. (2pts) Find...
2. For the circuit shown in (c), above, let R-200, L--10mH, and C-001μF. a. (2pts) Find the resonant frequency, ao . b. (4pts) Find the current in the network for a sinusoidal voltage source, Vin 0.5 VRMS at an angular frequency of ω ω0. C. (3pts) Find the voltage dropped across the capacitor for the parameters of part (b) d. (2pts) What is the quality, Q, of the network? We were unable to transcribe this image
Q1 a) A parallel resonant RLC circuit is driven by a current source is = 20...
Q1 a) A parallel resonant RLC circuit is driven by a current source is = 20 cos(wt) x10-3A and shows a maximum response of 8 V at w = 1000 rad/s and 4V at w = 897.6 rad/s. Determine the value of passive components R, L and C. (15 Marks) b) The concept of resonance applies in several areas of science and Engineering. Resonance occurs in any circuit that has at least one inductor and one capacitor. Explain the condition...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vi...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
Consider the circuit in Figure 3. 36 AO() +04 16 ml Figure 3: The circuit for Q3 (a) Determine the resonant frequencies, (rad/s) and f. (Hz) of the tank circuit (b) Find the quality factor Qof the circuit at resonance. (c) Calculate the voltage across the circuit at resonance. (d) For currents through the inductor and the resistor at resonance. (e) Determine the bandwidth of the circuit in both radians per second and hertz. (Sketch the voltage response of the...
(a) For the circuit of Figure 4, assuming a sinusoidal is(t) (0) Prove that the resonant frequeney is given by o- (3 marks) LC (ii) If the total admittance at resonance is 20 ms (seen by the source) with resonant frequency of wo 5000 rad/s and quality factor of Q-10, calculate the values of R L, C, the bandwidth and half-power frequencies in Hertz. (4 marks) VG and hence show (iii) Derive an expression for the driving point impedance Z(jø)...
Problem 4. (25 points) For The parallel resonance circuit shown a) Find the resonance frequency fp. b) Find the voltage VC at resonance frequency. c) Find the Bandwidth BW d) Find the cutoff frequencies fl & f2 R1-10Ok2 RL-100 E-400 v
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...
The below figure shows a series resonant circuit energised by a
sinusoidal 10V rms source. In all calculations below, use
approximations if they are appropriate.
(i) What is the resonant angular frequency of the circuit with
the component values as given above?
(ii) What is the Q factor of the circuit?
(iii) What are the half-power angular frequencies of the
circuit?
(iv) What current passes through the 30
resistance at resonance?
A resistor of 6
is now connected between terminals...
51 For the low pass filter in figure 5 find: [2 Marks] Cutoff(Critical) frequency Output Voltage at Cut off frequency 4.7 k C 1020 V 10 F Figure 5 6 Find at resonance from figure 5: [3 Marks] a. Resonant Frequency. d. Quality factor. e. Bandwidth b. Impedance at resonance f. Current at the half power Current at resonance. c. Vs 10 v L-1mH C-10uF R-102 C L R V Figure 5
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H. Show that the transfer function H(s) is: 1 (5) H(S)= (5) + +1 L102 107 (a) Plot the pole-zero diagram of H(s). (b) What filter is given by H(s)? Why? (e) Determine the resonant frequency 0o, the quality factor Q, the cut-off frequencies 01 and 02 and the bandwidth B. i (0) it) R Fig. 4.4
2. For the circuit shown in (c), above, let R-200, L--10mH, and C-001μF. a. (2pts) Find the resonant frequency, ao . b. (4pts) Find the current in the network for a sinusoidal voltage source, Vin 0.5 VRMS at an angular frequency of ω ω0. C. (3pts) Find the voltage dropped across the capacitor for the parameters of part (b) d. (2pts) What is the quality, Q, of the network? We were unable to transcribe this image
Q1 a) A parallel resonant RLC circuit is driven by a current source is = 20 cos(wt) x10-3A and shows a maximum response of 8 V at w = 1000 rad/s and 4V at w = 897.6 rad/s. Determine the value of passive components R, L and C. (15 Marks) b) The concept of resonance applies in several areas of science and Engineering. Resonance occurs in any circuit that has at least one inductor and one capacitor. Explain the condition...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
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