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305_exam1_soln_s04 - ECE 305 Name $019?“ 2 Spring 2004...

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Unformatted text preview: ECE 305 Name; $019+?“ 2? Spring 2004 Exam #1 Student No. Note: Be sure to include units where appropriate! Note: YOU MUST SHOW YOUR WORK TO GET CREDIT! Note: Each problem is worth 8 points 1. Transient transmission lines. A battery is switched into a short-circuited transmission line through a series resistance, as shown below. 1:20 it 4r‘BOV T a) Draw and label the voltage and current bounce diagrams, and use them to plot v(0,t) and i(£,t) for OSI 36]". £3 (480) z :20 v _ ‘70"2’0: J— - 0°29, - +- P5 ' éfiti‘fi Z FL'orZ-bw l v “90+” 1 continued 4510,70 11%) QA r—* b) Find the steady—state current, 1'03, 1) , t ~—> oo . 2. Transmission line parameters. A high-loss transmission line operating at 100 MHZ has a characteristic impedance of Z 0 : 10+ jO Q and a propagation constant of y z 5 +j10 ml. (21) Compute the phase velocity. 75: 93%) «.9 deg We fit“? ‘7“ b : mama? W5 M M (b) Compute the wavelength. NEE: o.e28m (c) Compute the loss in dB/m. dam: mega: : w 4% (d) Compute L, C, R, and G. W; . " " ' my « ' : 50+ EGO Kit)“ («wuamww fig .. 33+ng 3 Sa; Rigfi/W . L: W?” = max/o ?‘ Him wL: 3;) ZfiX/OOxfotb /"". Wégmji ié‘i‘“ 2 continued => 6 = 03 51% Qé i m} C: g 1.39mo’Q 57% M Zrzxmaxffib "’— W 3. Standing waves. A lossless transmission line with a characteristic resistance of R0 = 509 is terminated by a load with impedance Z L . If the reflection coefficient is r=0.1+jo.4, a) Finds {7:04130‘4 : 0.492% 33 1:9: wz: 2401 [we {’0.4!Z, «3::- b) Find dm in wavelengths ffi~f32b “Ti-432% Cir»: infid): 7 3 W )a =2 ~O$SSSA 2&3 ZCQE 4f? ’3: c) Find ZL ,, 2L~€o -—7 F(ZL+%97 52L’Zo Homefl Htlsxé M 1919 “ {0 2L: J t Q j z; #04104 ass-304 westjéfig 3 continued 4. Input impedance. A 2.5 cm long section of lossless transmission line of characteristic resistance 50 Q is operated at 1 GHz and has a phase velocity 2><108 m/s. a) Find the wavelength on the transmission line. w 2174? Zfix 1M09 2‘ v’ z — """' 3 5 ( qr? (5 > @— ”lfi; inog KM -Z.L\”-2II: .z A'$”IOK 922M b) Find the input impedance when the line is terminated with a load impedance of 100 + 150 Q. U :Ioo+'50 $€:zorr(o.ozs)= V 2" J 3? 2.“: a, W WM : “Mg”! Katiipmgl - ,2 iLfilZo ._ 50 loofiéoflm ; g0 loogloo .- 0 KQ+SZL = 50mm = 5013 so 52. M 4 continued ...
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