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Problem 4 For the circuit in Fig. 3, frequency w a) Draw the impedance model of the circuit for a source b) Convert 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)...
A series circuit consists of an AC source of variable frequency, a 115 Ohm resistor, a...
A series circuit consists of an AC source of variable frequency, a 115Ω resistor, a 1.25 μF capacitor, and a 4.50 mH inductor. Find the impedance of this circuit when the angular frequency of the ac source is adjusted to (a) the resonance angular frequency; (b) twice the resonance angular frequency. If the power source provides a peak voltage of 60 V. what ore (c) the peak current in the circuit and (d) the average power dissipated in the circuit...
Determine resonant frequency, amplitude, impedance, and phase angle. (b) Suppose the circuit parameters in a series...
Determine resonant frequency, amplitude, impedance,
and phase angle.
(b) Suppose the circuit parameters in a series RLC circuit are: L = 1.0 uH, C = 10.0 nF, R= 10092, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance. If the frequency of the input voltage source is 50 Hz, calculate the impedance and the phase angle. f = 1 / 2 x 5c = 1/2 X 511...
Part A: What is the impedance of the circuit? Part B: What is the current amplitude?...
Part A: What is the impedance of the circuit?
Part B: What is the current amplitude?
Part C: What is the phase angle of the source voltage with
respect to the current?
Part D: Does the source voltage lag or lead the current?
Part E: What is the voltage amplitude across the resistor?
Part F: What is the voltage amplitude across the inductor?
Part G: What is the voltage amplitudes across the capacitor?
Constants You have a resistor of resistance...
Matlab Code if available Problem 04 mm us(0 In the circuit, the voltage source Vs(t) frequency,...
Matlab Code if available
Problem 04 mm us(0 In the circuit, the voltage source Vs(t) frequency, amplitude and phase are 22 kHz, 10 V and 0.25 rad correspondingly; Rs=4 Ohm, Ri=12 Ohm, R2=9 Ohm, R3=2 Ohm, L1=0.11 mH, L2=0.13 mH, C= 1.4 uF ("u"="micro"). Part A. Using any appropriate techniques, find the parameters of Thevenin equivalent circuit with respect to the ports "a" and "b". Present the Thevenin source in the polar form and the Thevenin impedance in the algebraic...
Learning Goal: To understand the use of phasor diagrams in calculating the impedance and resonance conditions in a seri...
Learning Goal: To understand the use of phasor diagrams in calculating the impedance and resonance conditions in a series L-R-C circuit. At resonance, XL = Xc. The voltage across the capacitor exactly cancels that across the i have the same amplitude. Thus, the inductor and capacitor effectively cancel out in the formu not come as a surprise that the resonant frequency equals the natural frequency of the oscilla In this problem, you will consider a series L-R-C circuit, containing a...
1. Consider a source driving the antenna model in the circuit below. The source has a voltage of 100Vrms and an impedance of RS 50 ohs. The antenna has an impedance of Z RRadRLoss+jX where the radiat...
1. Consider a source driving the antenna model in the circuit below. The source has a voltage of 100Vrms and an impedance of RS 50 ohs. The antenna has an impedance of Z RRadRLoss+jX where the radiation resistance RRad-3 ohms, the loss resistance RLoss-12 ohms, and the reactance jXj150 ohms. (a) What is the efficiency of the antenna? (This miserable efficiency is actually better than many electrically-small antennas.) (b) How much power is being radiated? (c) How much power would...
The Natural Response of an RL Circuit In summary, to find the time constant of an...
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
The circuit shown in Figure Q4-1 includes an audio source and the equivalent circuit of a...
The circuit shown in Figure Q4-1 includes an audio source and the equivalent circuit of a loudspeaker that you have been asked to analyse. 4. a) Assuming the speaker is to operate at a single frequency of 200 Hz and is5 driven by a cosinusoidal signal with peak amplitude of 20 V; determine the equivalent impedance of the speaker When connected to the audio source, calculate the current flow i() When testing the loudspeaker detailed in Q4a) i), you can...
Exercise 31.29 In an L-R-C series circuit, 310 ,0.396 H and 5.98x10-8F. When the ac source...
Exercise 31.29 In an L-R-C series circuit, 310 ,0.396 H and 5.98x10-8F. When the ac source operates at the resonance frequency of the circuit, the current amplitude is 0.505 A. Part A What is the voltage amplitude of the source ? ANSWER: V V Part B What is the amplitude of the voltage across the resistor? ANSWER: V Part 6 What is the amplitude of the voltage across the inductor? ANSWER: Vi V Part D What is the amplitude of...
(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)...
Determine resonant frequency, amplitude, impedance,
and phase angle.
(b) Suppose the circuit parameters in a series RLC circuit are: L = 1.0 uH, C = 10.0 nF, R= 10092, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance. If the frequency of the input voltage source is 50 Hz, calculate the impedance and the phase angle. f = 1 / 2 x 5c = 1/2 X 511...
Part A: What is the impedance of the circuit?
Part B: What is the current amplitude?
Part C: What is the phase angle of the source voltage with
respect to the current?
Part D: Does the source voltage lag or lead the current?
Part E: What is the voltage amplitude across the resistor?
Part F: What is the voltage amplitude across the inductor?
Part G: What is the voltage amplitudes across the capacitor?
Constants You have a resistor of resistance...
Matlab Code if available
Problem 04 mm us(0 In the circuit, the voltage source Vs(t) frequency, amplitude and phase are 22 kHz, 10 V and 0.25 rad correspondingly; Rs=4 Ohm, Ri=12 Ohm, R2=9 Ohm, R3=2 Ohm, L1=0.11 mH, L2=0.13 mH, C= 1.4 uF ("u"="micro"). Part A. Using any appropriate techniques, find the parameters of Thevenin equivalent circuit with respect to the ports "a" and "b". Present the Thevenin source in the polar form and the Thevenin impedance in the algebraic...
Learning Goal: To understand the use of phasor diagrams in calculating the impedance and resonance conditions in a series L-R-C circuit. At resonance, XL = Xc. The voltage across the capacitor exactly cancels that across the i have the same amplitude. Thus, the inductor and capacitor effectively cancel out in the formu not come as a surprise that the resonant frequency equals the natural frequency of the oscilla In this problem, you will consider a series L-R-C circuit, containing a...
1. Consider a source driving the antenna model in the circuit below. The source has a voltage of 100Vrms and an impedance of RS 50 ohs. The antenna has an impedance of Z RRadRLoss+jX where the radiation resistance RRad-3 ohms, the loss resistance RLoss-12 ohms, and the reactance jXj150 ohms. (a) What is the efficiency of the antenna? (This miserable efficiency is actually better than many electrically-small antennas.) (b) How much power is being radiated? (c) How much power would...
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
The circuit shown in Figure Q4-1 includes an audio source and the equivalent circuit of a loudspeaker that you have been asked to analyse. 4. a) Assuming the speaker is to operate at a single frequency of 200 Hz and is5 driven by a cosinusoidal signal with peak amplitude of 20 V; determine the equivalent impedance of the speaker When connected to the audio source, calculate the current flow i() When testing the loudspeaker detailed in Q4a) i), you can...
Exercise 31.29 In an L-R-C series circuit, 310 ,0.396 H and 5.98x10-8F. When the ac source operates at the resonance frequency of the circuit, the current amplitude is 0.505 A. Part A What is the voltage amplitude of the source ? ANSWER: V V Part B What is the amplitude of the voltage across the resistor? ANSWER: V Part 6 What is the amplitude of the voltage across the inductor? ANSWER: Vi V Part D What is the amplitude of...
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