1. If the RMS current through a 10kΛ resistor is 5mA, then the RMS voltage across the resistor is
a) 70.7V
b) 7.07V
c) 5V
d) 50V
2. A phasor represents
a) magnitude
b) magnitude and direction
c) phase angle
d) length
3. To multiply two complex numbers, the numbers should be in what form?
a) Polar
b) Rectangular
c) either
d) AC
4. What is the common name for XC?
a) Capacitance
b) Capacitive Reactance
c) Resistance
d) Capacitive Reluctance
5. A series circuit consists of a 10 volt battery, a 1MΛ resistor, and a 0.1μF capacitor. How long will it take for the capacitor to charge 6.3 volts?
a) 1S
b) 1mS
c) 10mS
d) 100mS
6. Locate the points of the following complex numbers on the provided graph.
a) 3 + j5
b) -7 - j2
c) -1 - j5
d) -4 + j2
7. Convert each of the following rectangular numbers to polar form.
a) 40 - j30
b) 50 - j150
c) 35 - j21
d) 97 + j448. Convert each of the following polar numbers into rectangular form. (4 pts)
a) 1000 ∠ -50°
b) 35∠ 60°
c) 25 ∠ 30°
d) 13 ∠ 150°
9. Perform the following additions;
a) 1 + j2
b) 8 + j7
c) -9 - j8
d) 9 + j6
4 - j5 -2 + j6 -8 + j12 -9 - j6
10. Perform the following multiplications;
a) 15°∠3 ,23°∠12
b) 60°∠10,-10°∠-3
c) 79°∠-18, -56°∠-2
d) 50°∠25, 50°∠25
11. What is the RMS voltage of a 77Vp-p sinewave?
a) 38.5V
b) 27.2V
c) 54.4V
d) 21.7V
12.What is XC for a 0.022μ F capacitor at 220kHz?
a) 22.0 kΛ
b) 77.3Λ
c) 32.9Λ
d) 1kΛ
13. Perform the following subtractions;
a) 11 + j2 ,4 - j5
b) 8 + j7,-2 + j6
c) -9 - j8, 8 + j12
d) 9 + j6,-9 - j6
14. Perform the following divisions;
a) 100 ∠15°,12∠ 9°
b) 60°∠10, -10°∠-3
c) 10°∠-18,-26°∠-2
d) 50°∠25, 50°∠25
15. One sine wave has a positive going zero crossing at 10° and another sinewave has a positive going zero crossing at 65°. What is the phase angle between the two waveforms?
a) 75°
b) 60°
c) 55°
d) 65°
16. Rewrite V = 120V 
45° as a sinusoidal expression.
17. In an RC circuit, the voltage across the resistor
a) leads the current by 90°
b) lags the current by 90°
c) is in phase with the current
d) is out of phase with the current
18. What is the angular difference between +j4 and -j4?
a) 90°
b) 180°
c) 270°
d) 360°
19. A positive angle of 30° is equivalent to a negative angle of
a) -60°
b) -170°
c) -235°
d) -330°
20. How many degrees are there in π/3 radians?
a) 180°
b) 90°
c) 60°
d) 45°
21. The angular velocity is 500 radians/second. What is the frequency?
a) 314 Hz
b) 79.6 Hz
c) 796 Hz
d) 31.4 kHz
Refer to the figure below. Show work on next page
22. What is the value of XC? Show the answer in phasor form.
23. What is the total impedance in this circuit? Show the answer in phasor form.
24. What is the current through the capacitor? Show the answer in phasor form. 25.What are the voltages across the capacitor AND the resistor? Show the answer in
phasor form
26. Plot the following: VS, ZT, IT, VC, VR showing the proper angles. The magnitude for the current vector is unimportant for this question.
Refer to the figure below. Show work on next page
27. Calculate AND plot R, XL, XC, ZT, IT, VR, VL, VC. Show the answers in polar form AND rectangular format. You can use two plots, if needed. The magnitude for the current vector is unimportant for this question.