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 ω_up

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 ω_low

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) L_s= 12.65nH, f=281.2 MHz

19) Cp = 0.8 pF

20) 9.75 mm

21) 18 turns

22) A_L=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