Answers to AC Homework
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Frequency and Period
1.a. f = 50Hz
b. f = 20Hz
c. f = 33.33Hz
d. f = 500x103Hz
2.a. T = 0.01s
b. T = 0.005s
c. T = 1x10-6s
d. T = 4s
Peak and RMS Voltage/Current
3. VRMS = 8.49V
4. Vpeak = 7.07V
5. IRMS = 2.83A
6. Ipeak = 7.07A
7. B
8. None of the given options.
Vdc = VRMS = Vpeak/SQRT2 = 10/SQRT2
9. C
Oscilloscope Patterns
10. D
11.a. Vpeak = 15V
b. VRMS = 15/SQRT2 = 10.61V
c. Period(T) = 5ms
=>f = 1/T =200Hz
d.
12. B
[T = 1/f =0.02s = 20ms
4cm = 20ms
=>1cm = 5ms]
13. C
T = 1/f =0.02s = 20ms
8 divisions x time per division = 20ms
time per division = [20/1000]/8
time per division = 20/8000 = 1/400 seconds
14. C (1999 PI Q16)
RMS and DC Equivalence
15. Idc = 0.57A
16. VRMS = 7.07V =>Vpeak = 10V
Amplitude = 5 divisions (at 2V/div)
17. P = 24W
18. P = 6.4W
19. E = 33.75J
20. B (1994 PI Q18)
Current and Frequency
21. A (1997 PI Q19)
22. E (1999 PI Q17)
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