# 2.1: Procedure

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