Question

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 do 35cos(21) +22 sin(3t +45) using phasors. The frequency does not appear explicitly in the phasor representation. . .To add sinusoidal signals using phasors, we determine the phasor representation for each sinusoid, add the phasors using complex arithmetic, convert the sum to polar form, and then write out the result as a time function

Answer 1

ーブ 24(t): 52-89万ㄥ-1701032 3万cos (2t) -t 22 Sin(2t-+45

几 Cos[1t+12-69603 グ厅(t) = 105-741, 9 -頁

= 2ヶ t)26-4411 Cos107-102