Chapter 4 Solutions:

 

2)   at                       28MHz:                        29MHz:                          29.7MHz:

     Vr=                   5.94∟53.6˚                    9.97∟4.1˚                       7.81∟-38.6˚

     Vc=                  112.56∟-36.4˚               182.46∟-85.9˚                139.58∟-128.6˚

     Vl=                   104.51∟143.6˚              181.74∟94.1˚                  145.82∟51.4˚

3)   Vr = 10 ∟0˚ V Vc = 51 ∟-90˚ V                 VL = 51 ∟90˚ V

4) C=99 pF

5)   ω0 = 95.35 x 10E6 rps       ω1 = 85.87 x 10E6 rps       ω2 = 105.87 x 10E6 rps

7)   ω0 = ((1/CL) - (R/L)²)1/2              if L-CR²=0 no resonance

9)   Q = 10.3

10) R=150 Ω,  C=211 pF

11)  C = 2.27 nF                    Pmax = 176 mW

12) R(ohm)=            0                                    1                                    100

      ω(rps)=            108                               99.995*106                          0

13)  ω0 = 8.375 x 10E6 rps

14)  35.7dB

15)  Vr = 0.87 ∟0˚ V   Vc = 2.05 ∟-90˚ V              VL = 2.05 ∟90˚ V

16)       at ωup                                                                               

        Vr=    V*  0.615∟-45˚     0.615Vcos(232.4x106t-45˚)                                                      

        Vc=    V* 1.150∟-135˚→    1.150Vcos(232.4x106t-135˚)                                            

        Vl=     V* 1.858∟45˚       1.858Vcos(232.4x106t +45˚)                                           

            at ωlow

        Vr=    V*  0.615∟45˚       0.615Vcos(143.9x106t +45˚)                 

        Vc=    V* 1.858∟-45˚      1.858Vcos(143.9x106t -45˚)         

        Vl=     V* 1.150∟135˚ →    1.150Vcos(143.9x106t +135˚)        

17)  RDC = 54 mΩ                  fsc = 2Mhz   R = 206 mΩ

18) Ls= 12.65nH,  f=281.2 MHz

19)  Cp = 0.8 pF

20) 9.75 mm

21)  18 turns

22) AL=2.653 nH/turns2,  R = 240 mΩ

24)  f =      400KHz               1KHz

       A=      9.626                    11

25)  Vout = 4.08 ∟-172˚ V                     Vout = 4.4 ∟-150˚ V

26) C=99 pF,  │B1/A1│=0.09,  │B2/A2│=0.007