Basic Technical Mathematics, 11th Edition

Exercises 12.7, page 369

1. 1. $V_R\hspace{0.17em}=\hspace{0.17em}24.0\text{ V}\hspace{0.17em},\hspace{0.17em}{V}_L\hspace{0.17em}=\hspace{0.17em}32.0\text{ V}\hspace{0.17em},\hspace{0.17em}{V}_{RL}\hspace{0.17em}=\hspace{0.17em}40.0\text{ V}\hspace{0.17em},\hspace{0.17em}\theta \hspace{0.17em}=\hspace{0.17em}53.1\hspace{0.17em}°\hspace{0.17em}$ (voltage leads current)

2. 3. 12.9 V

3. 5.

   1. $2850\hspace{0.17em}\Omega \hspace{0.17em}$

   2. $37.9\hspace{0.17em}°\hspace{0.17em}$

   3. 16.4 V

4. 7.

   1. $14.6\hspace{0.17em}\Omega \hspace{0.17em}$

   2. $\hspace{0.17em}-\hspace{0.17em}90.0\hspace{0.17em}°\hspace{0.17em}$

5. 9.

   1. $47.8\hspace{0.17em}\Omega \hspace{0.17em}$

   2. $19.8\hspace{0.17em}°\hspace{0.17em}$

6. 11. 38.0 V

7. 13. $54.5\hspace{0.17em}\Omega \hspace{0.17em}\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}62.3\hspace{0.17em}°\hspace{0.17em}$

8. 15. 0.682 H

9. 17. $2.08\hspace{0.17em}\times \hspace{0.17em}{10}^5\text{ Hz}$

10. 19. $1.30\hspace{0.17em}\times \hspace{0.17em}{10}^{\hspace{0.17em}-\hspace{0.17em}11}\text{ F }\hspace{0.17em}=\hspace{0.17em}13.0\text{ pF}$

11. 21. 1.02 mW

12. 23. $21.4\hspace{0.17em}-\hspace{0.17em}33.9j$