Convert the following time domain forcing functions into generalized phasors and
ID: 1716228 • Letter: C
Question
Convert the following time domain forcing functions into generalized phasors and find s in each case. Show your (detailed) work for each answer. The first is an example of the DC current source:
Time Function Phasor (A angle phi) s
a) i(t)=86.6A 86.6 angle 0 degrees A 0
b) v(t)=0.50sin(250t+30 degrees) (V)
c) i(t)=5.0 (e^(-100t))( sin(50t+90)) (A)
d) i(t)=3cos50t +4sin50t A
Explanation / Answer
ans:
Time Function Phasor (A angle phi)
b) i(t)=0.50V 30 angle 0 degrees
c) i(t)=5.0 (e^(-100t)) A 90 angle 0 degrees
d) i(t)=3cos50t +4sin50t A
=>5(3/5cos50t +4/5sin50t) A
=>5(sin(A)cos50t +sin(B)sin50t) A
=>5(sin(50t+sin-1 (3/5)) A
=>5(sin(50t+36.87) A
Time Function Phasor (A angle phi)
5 36.87 angle 0 degrees