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Part E - Use phasors to subtract one sinusoid from another sinusoid Suppose you want to...
A support beam is subjected to vibrations along its length, emanating from two machines situated ...
A support beam is subjected to vibrations along its length,
emanating from two machines
situated at opposite ends of the beam. The displacement caused by
the vibrations can be
modelled by the following equations,
x120sin(at+ i. ii. iii. State the amplitude, phase, frequency and periodic time of each of these waves Add and subtract the given waveforms using phasor method. Use the COmpoundangleformulac to expand x1 and x2 into the form A sin wt ± B cos wt, where A...
1. (a) You have seen that the Fourier transform of cos(wt) and sin(wt) func- tions results...
1. (a) You have seen that the Fourier transform of cos(wt) and sin(wt) func- tions results in even and odd combinations of delta functions in the frequency domain. Prove the opposite. That is, find the combination of delta functions in the time domain that give cosine and sine functions in the frequency domain. (b) Use the signum function to relate these two combinations of delta functions and use the convolution theorem to show that sin (wt) = cos (wt) *...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
Circuit Analysis with Phasors and Complex Impedances: Node-Voltage Analysis - Copy 2 of 4 - Part...
Circuit Analysis with Phasors and Complex Impedances: Node-Voltage Analysis - Copy 2 of 4 - Part A - Node voltage analysis with an independent source Before examining an example with a dependent souron, was investigate a circuit with a single independent current source is shown below. (0) - 15 cod 500+ 50.2 m WS The circuit transformed into the frequency domain is shown below. -/100 V. Ultimately, we want to determine the voltage drop across the story in preparation, what...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
4.15. Use phasor techniques in the following. (a) Find 2 cos(100t - 459) – 3 cos...
4.15. Use phasor techniques in the following. (a) Find 2 cos(100t - 459) – 3 cos (100t + 60°) (b) Find 50 sin(100t) + (d/dt) cos (100t - 30). Hint: Do not take the derivative in the time domain; replace it by jo in the frequency domain. (c) Use phasor techniques to evaluate the derivative the formula in the time domain and transform of i(t) = 20 sin(500t) at t = 2 ms. Hint: Write into the frequency domain, using...
1) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs...
1) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs to get a time-varying voltage output; ?1 (?) + ?2 (?) = ????(?). The input voltages have the same driving frequency, ?? = 60 ??, but they have different amplitudes and phase angles. ?1 (?) = ?1 cos(?? ? + ?1 ) ?2 (?) = ?2 cos(?? ? + ?2 ) ?1 (?) has an amplitude of ?1 = 5.0 ? and a phase...
You have the following circuit in sinusoidal steady-state. Use phasor circuit analysis to find the time...
You have the following circuit in sinusoidal
steady-state.
Use phasor circuit analysis to find the time domain expression
for the steady-state current, i(t), and steady-state voltages,
VR(t), VC(t) and VL(t).
Vs(t) = 50 cos(1000t) Volts.
Problem 1 (20 points) You have the following circuit in sinusoidal steady-state. Use phasor circuit analysis to find the time domain expression for the steady-state current, i(t), and steady- state voltages, Vr(t), Vc(t) and Vl(t). Vs(t) = 50 cos(1000t) Volts. i(t) 100 12 25 mH...
Answer Q2 Q1. Use MATLAB to calculate sum of the AC voltages. Plot all three voltages...
Answer Q2
Q1. Use MATLAB to calculate sum of the AC voltages. Plot all three voltages in the same figure using the inbuilt function subplot(). The frequency of the signal is 10 Hz. Vary the time, t, so that you can view few cycles of the AC voltage. vi(t) = 10 V sin(wt +T/2) vz(t) =15 V sin(wt+1/3) vs(t) = (t) + v2(t) Q2. Use voltage vi(t) from Q1 and impedance, Z = 50 L 30°, and find phasor current...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN QUESTION 2 ARE SOLVED. THANK...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN
QUESTION 2 ARE SOLVED. THANK YOU
poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...
A support beam is subjected to vibrations along its length,
emanating from two machines
situated at opposite ends of the beam. The displacement caused by
the vibrations can be
modelled by the following equations,
x120sin(at+ i. ii. iii. State the amplitude, phase, frequency and periodic time of each of these waves Add and subtract the given waveforms using phasor method. Use the COmpoundangleformulac to expand x1 and x2 into the form A sin wt ± B cos wt, where A...
1. (a) You have seen that the Fourier transform of cos(wt) and sin(wt) func- tions results in even and odd combinations of delta functions in the frequency domain. Prove the opposite. That is, find the combination of delta functions in the time domain that give cosine and sine functions in the frequency domain. (b) Use the signum function to relate these two combinations of delta functions and use the convolution theorem to show that sin (wt) = cos (wt) *...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
Circuit Analysis with Phasors and Complex Impedances: Node-Voltage Analysis - Copy 2 of 4 - Part A - Node voltage analysis with an independent source Before examining an example with a dependent souron, was investigate a circuit with a single independent current source is shown below. (0) - 15 cod 500+ 50.2 m WS The circuit transformed into the frequency domain is shown below. -/100 V. Ultimately, we want to determine the voltage drop across the story in preparation, what...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
4.15. Use phasor techniques in the following. (a) Find 2 cos(100t - 459) – 3 cos (100t + 60°) (b) Find 50 sin(100t) + (d/dt) cos (100t - 30). Hint: Do not take the derivative in the time domain; replace it by jo in the frequency domain. (c) Use phasor techniques to evaluate the derivative the formula in the time domain and transform of i(t) = 20 sin(500t) at t = 2 ms. Hint: Write into the frequency domain, using...
You have the following circuit in sinusoidal
steady-state.
Use phasor circuit analysis to find the time domain expression
for the steady-state current, i(t), and steady-state voltages,
VR(t), VC(t) and VL(t).
Vs(t) = 50 cos(1000t) Volts.
Problem 1 (20 points) You have the following circuit in sinusoidal steady-state. Use phasor circuit analysis to find the time domain expression for the steady-state current, i(t), and steady- state voltages, Vr(t), Vc(t) and Vl(t). Vs(t) = 50 cos(1000t) Volts. i(t) 100 12 25 mH...
Answer Q2
Q1. Use MATLAB to calculate sum of the AC voltages. Plot all three voltages in the same figure using the inbuilt function subplot(). The frequency of the signal is 10 Hz. Vary the time, t, so that you can view few cycles of the AC voltage. vi(t) = 10 V sin(wt +T/2) vz(t) =15 V sin(wt+1/3) vs(t) = (t) + v2(t) Q2. Use voltage vi(t) from Q1 and impedance, Z = 50 L 30°, and find phasor current...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN
QUESTION 2 ARE SOLVED. THANK YOU
poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...
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