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Given that
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 +...
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?...
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...
(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 -...
Problem (1) – 6 pts. Consider the circuit below with o=10 rad/sec: 10 mF 12 cos w V -о а 2 sin et A 1012 H ell 200 оь a) Find the Thevenin equivalent of the circuit in the frequency domain to the left of terminals a-b. Use Mesh Analysis to obtain V (No other method will be accepted.) Use the Nodal Analysis to obtain Z (No other method will be accepted.) b) Find the Norton equivalent of the given...
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...
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....
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
#49,53,57 3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...