1. Time Domain to Phasor Domain (Linear Transformation)
Sources
150 cos(377t + 20o) V
150 /20o V
Resistors
20 
20 /0o 
Inductors
50 mH
 (5010-3) /90o 
Capacitors
100 F
1/[ (10010-6)] /90o 
In a DC circuit, inductors act like a short circuit.
In a DC circuit, capacitors act like an open circuit.

2. AC Circuits 1/(jC) = 20 /90o v(t) = 10 cos (200t + 10o) 10 /10o
40 mH
v(t) = 10 cos (200t + 10o)
10 /10o
Find i(t)
jL = 8 /90o

3. AC Circuits 10.6 /90o v(t) = 50 V @ 60 Hz Find vc(t) 50 /0o
40 mH
v(t) = Hz
Find vc(t)
50 /0o
 = 2 (60) = 377 rad/s
15.1 /90o

4. AC Circuits 500 /– 90o i(t) = 5 cos (2000t – 35o) 5 /– 35o 80 /90o
Find v(t) and iL(t)

5. AC Circuits Find the equivalent (Thevenin) impedance at 1 kHz.
 = 2 (1000) = 6283 rad/s
R = 20 /0o
L1 = /90o
L2 = 6.28 /90o
C = /– 90o