# 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