Answers to Problems

Chapter 3:

7. a) 141 <−45 Ω (100−j100 Ω), b) 33.2 <−45 Ω, c) 94 Ω for f = 0,

d) 141 <45 Ω, e) 150 <1.2 Ω, 180 <8.9 Ω;

8. a.a) 35.4 <75 mA, a.b) 0.238 <45 V, a.c) 26.7 <183.5 mA;

9) 7e with 8a) IL(1MHz) = 33 <26.5 mA, IL(19MHz) = 19 <24 mA,

7e with 8b) IL(1MHz) = 2 <87 mA, IL(19MHz) = 1.5 <45 mA,

7e with 8c) IL(1MHz) = 25 <135 mA, IL(19MHz) = 15 <86 mA;

10. a) R= 2.47 , L = 693 mH, b) R= 541 Ω, C = 1.7 uF, c) R= 975Ω, C = 27 nF

d) R= 707 Ω, C = 1.4 nF, e) R= 43.6 Ω, C = 320 pF;

11. 58.3 cos(157E6 t - 45.6) mA, 36.7 cos(314E6 t - 63.9) mA;

12. 1.33 MHz;

13. 587 ;

14. 77.4 kHz;

16. c) 0.2−j0.4 = 0.447 <−63.4 V, 0.8+j0.6 = 0.894 <26.6 ;

18. a) I(ω)/2, 96.7 Ω, b) V(ω)/2R, jωL/{1+jωL/2R};

23. c) −14.4, f) 1.67V1 − 3.73V2, g) −102;

25. a) 0, −3.13, c) 0, −3.13, e) 4.13, 0, g) −2, −∞.