HomeWork Assignment #1
EECE 581
1. Convert to polar form and draw the phasor
a. 2 + j5
b. 13 - j8
c. 20
d. 1/(5j)
Spring 2003
e. -j70
2. Convert to rectangular form and draw the phasor
a. 10/ 25°
b. 25 ej10 (rad) c. 30/ -90°
d. 7/ 180°
e. 87/ 0°
3. Simplify and put in polar form
a. (40/ 10°)2
b. 5/ 5° + 12
d. [(1 + j7)/(8/ -15°)]*
e. (24/ 5°)(24/ 5°)*
c. 1/(5 + j7)
4. Find the complex power in polar form
a. V = 100 / 0° V , I = 7 / 45° A
b. P = 100 W, pf = 0.75 lag
c. |S| = 100 MVA, P = 90 MW
d. Q = 50 kVAR,  = 30°
e. |S| = 200 kVA, pf = 0.95 lead
f. |S| = 400 kVA, pf = 0.95 lag
g. |S| = 50 kVA, |V| = 100kV, pf = 0.9 lag
5. If a 25 F capacitor is connected to a 60 Hz source, what is its impedance?
6. If a 5 mH inductor is connected to a 60 Hz source, what is its impedance?
7. For the circuit below, find I1 in terms of I and impedances only.
I
Z1
I1
I
Z2
2
8. For the circuit below, find V2 in terms of V and impedances only.
+
+
V
Z2
V
2
+
-
Z1 V
1
-
-
9. Find the Thevenin Equivalent circuit for the circuit given below.
a
20/ 5° ž
120/ 0°
V
10 + j7 ž
b
10. If a 11 F capacitor is connected to a 120 V, 60 Hz source, what is the complex
power absorbed?
11. What the rms phasor for the voltage waveform given below?
v(t)
110 V
t
(sinusoidal)
-110 V
12. If a certain motor has |S| = 30 kVA, |V| = 400 V, and  = 35 °, what is the
current (magnitude and phase)?