Homework Answers
2. Write the cosine based phasors in complex number form (a + b) for the following...
2. Write the cosine based phasors in complex number form (a + b) for the following time functions. a. 10 cos(ot + 90) b. 10 sin(ot +90) c. 10 sin( 30) 3. Determine the time-domain functions associated with each of the following phasors. a. -2-i2 c. 4-i6 Write the mesh equations in matrix form (you do not have to solve them) for the following eircuit, using the phasor approach. (Hint: It helps to write the phasor quantities on the circuit...
10 in Cartesian coordinates. (a) Write the complex number (b) Write the complex number (c) What...
10 in Cartesian coordinates. (a) Write the complex number (b) Write the complex number (c) What is the phasor representation of the signal 4. (2 + j4)(3-J)in Polar coordinates i = 4 sin(10t + 10%) ǐn polar coordinates? (d) What is the time domain sinusoidal represenation of the phasor if the frequency of the signal is o- 20 rad/s? I=j(5-j12) if (e) What is the time domain sinusoidal represenation of the phasor the frequency of the signal is ω-10 rad/s?...
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 +...
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 + /4) b) Convert to phasor form: B(1,1) = 32 sin (8710'+2.r --30°) ay c) Convert the phasor A. = 35337/4 to the exact time domain form A () = A, sin (wt + o), with w = 2 10% rad/sec. Since it is not defined, you must use the baseline assumption, A, = Re 4 d) Convert from phasor to a single cosine or...
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...
Problem 1 What is the correct phasor notation of the following voltage wave: Ug(t) =-220 sin(...
Problem 1 What is the correct phasor notation of the following voltage wave: Ug(t) =-220 sin( 12Ort-90") V? a) V 220 v b) V220 V e) None of the above
3.a. Use 90-10 method to determine the time constant in figure 2. (Vs = Square, 6Vp-p,...
3.a. Use 90-10 method to determine the time constant in figure 2. (Vs = Square, 6Vp-p, 60Hz) 3.b. Plot the Step Response Graph with following details: Max Value, 90% Voltage, 10% Voltage, Yaxis Label, 90% Time, 10% Time, X axis Label 3.c. Calculate the expected value of the time constant and find the error percentage. 2207F 6.6 km SS figure. 4.a. Measure the phase angle difference between Vc and Ic in figure 3. (f=1 KHz) 4.c. For what R value...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) ...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
1. (40 points) Write down the phasor representation for each of the following signals a. (5...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
3. (15 pts) Determine v, in the following figure as a phasor and in the time...
3. (15 pts) Determine v, in the following figure as a phasor and in the time domain. 22 122 8cos(t +45°) V 0.5 F 29 1H VL
Question 2 For the circuit shown in Fig. 3, E is a dc source given by...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by E = 15 V, and Is is an ac source given by is = 0.5V2 sin(2000t + 20°) A. 1) What is the phasor expression for Is? 2) Determine the sinusoidal (time domain) expression for the voltage V. Use superposition, R, = R, = R, =100 G =C, = 504F 4 = L; =5mH 65 2 - 41° V 822 402 Question 3 Write...
2. Write the cosine based phasors in complex number form (a + b) for the following time functions. a. 10 cos(ot + 90) b. 10 sin(ot +90) c. 10 sin( 30) 3. Determine the time-domain functions associated with each of the following phasors. a. -2-i2 c. 4-i6 Write the mesh equations in matrix form (you do not have to solve them) for the following eircuit, using the phasor approach. (Hint: It helps to write the phasor quantities on the circuit...
10 in Cartesian coordinates. (a) Write the complex number (b) Write the complex number (c) What is the phasor representation of the signal 4. (2 + j4)(3-J)in Polar coordinates i = 4 sin(10t + 10%) ǐn polar coordinates? (d) What is the time domain sinusoidal represenation of the phasor if the frequency of the signal is o- 20 rad/s? I=j(5-j12) if (e) What is the time domain sinusoidal represenation of the phasor the frequency of the signal is ω-10 rad/s?...
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 + /4) b) Convert to phasor form: B(1,1) = 32 sin (8710'+2.r --30°) ay c) Convert the phasor A. = 35337/4 to the exact time domain form A () = A, sin (wt + o), with w = 2 10% rad/sec. Since it is not defined, you must use the baseline assumption, A, = Re 4 d) Convert from phasor to a single cosine or...
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...
Problem 1 What is the correct phasor notation of the following voltage wave: Ug(t) =-220 sin( 12Ort-90") V? a) V 220 v b) V220 V e) None of the above
3.a. Use 90-10 method to determine the time constant in figure 2. (Vs = Square, 6Vp-p, 60Hz) 3.b. Plot the Step Response Graph with following details: Max Value, 90% Voltage, 10% Voltage, Yaxis Label, 90% Time, 10% Time, X axis Label 3.c. Calculate the expected value of the time constant and find the error percentage. 2207F 6.6 km SS figure. 4.a. Measure the phase angle difference between Vc and Ic in figure 3. (f=1 KHz) 4.c. For what R value...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
3. (15 pts) Determine v, in the following figure as a phasor and in the time domain. 22 122 8cos(t +45°) V 0.5 F 29 1H VL
Question 2 For the circuit shown in Fig. 3, E is a dc source given by E = 15 V, and Is is an ac source given by is = 0.5V2 sin(2000t + 20°) A. 1) What is the phasor expression for Is? 2) Determine the sinusoidal (time domain) expression for the voltage V. Use superposition, R, = R, = R, =100 G =C, = 504F 4 = L; =5mH 65 2 - 41° V 822 402 Question 3 Write...
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