2.1: Procedure
- Page ID
- 25974
Perform the following operations, including phasor diagrams where appropriate.
1. (6 + j10) + (8 - j2)
2. (2 + j5) – (10 - j4)
3. 10 \(\angle\) 0\(^{\circ}\) + 20 \(\angle\) 90\(^{\circ}\)
4. 10 \(\angle\) 45\(^{\circ}\) + 2 \(\angle\) -30\(^{\circ}\)
5. 20 \(\angle\) 10\(^{\circ}\) - 5 \(\angle\) 75\(^{\circ}\)
6. (10 + j20) * (5 + j5)
7. (2 + j10) / (0.5 + j2)
8. 10 \(\angle\) 0\(^{\circ}\) * 10 \(\angle\) 90\(^{\circ}\)
9. 10 \(\angle\) 45\(^{\circ}\) * 10 \(\angle\) -45\(^{\circ}\)
10. 10 \(\angle\) 90\(^{\circ}\) / 5 \(\angle\) 10\(^{\circ}\)
11. 10 \(\angle\) 90\(^{\circ}\) / 40 \(\angle\) -40\(^{\circ}\)
12. 1 / 200 \(\angle\) 90\(^{\circ}\)
Draw the following expressions as time domain graphs.
13. \(v = 10 \sin 2 \pi 100t\)
14. \(v = 20 \sin 2 \pi 1000t + 45^{\circ}\)
15. \(v = 5 + 6 \sin 2 \pi 100t\)
Write the expressions for the following descriptions.
16. A 10 volt peak sine wave at 20 Hz
17. A 5 peak to peak sine wave at 100 Hz with a -1 VDC offset
18. A 10 volt RMS sine wave at 1 kHz lagging by 40 degrees
19. A 20 volt peak sine wave at 10 kHz leading by 20 degrees with a 5 VDC offset