homework7

homework7 - 3) a) For the coupled lines of problem 2, let s...

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EE4609 Homework #7 Spring 2009 1) Determine the ABCD parameters for the circuit given below L R C
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2) Consider two symmetrical stripline signal conductors running parallel to each other b w s ε r where b = 10 mils, w = 4 mils and ε r = 4. The even and odd characteristic impedances for this structure are given by where K(k’)/K(k) is the ratio of two complete elliptic integrals (see attached graph for values). Also k e = tanh( π w/2b)tanh( π (w+s)/2b) k e ’ = sqrt(1 – k e 2 ) and k o = tanh( π w/2b)coth( π (w+s)/2b) with k e ’ = sqrt(1 – k 0 2 ) Now the attached figure gives values for the ratio. If you prefer can be used to evaluate that ratio when 0 k 1/ 2. a) Calculate and plot Z oe and Z oo versus s for 4 mils s 24 mils.
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b) For a frequency of 1 GHz, what are the phase constants, β e and β o , for the even and odd modes in rad/s? c) For one isolated stripline signal conductor where k = sech( π w/2b) and k = tanh( π w/2b). Here since for this case 1/ 2 k 1. As s gets >> w, what impedance is Z oe and Z oo converging to?
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Unformatted text preview: 3) a) For the coupled lines of problem 2, let s = w. Find the self and mutual inductances and capacitances for this structure. b) if a signal with a risetime of 0.1 ns is input to one of the lines, what is the spatial extent (m) of this signal? c) If the lines run parallel for 1.5 cm, what is the maximum value of the near end crosstalk normalized to the signal voltage? d) What is the normalized far end crosstalk voltage? 4) A pair of coupled, symmetrical TEM lines run parallel to each other a distance, l, that is /4 at the frequency of interest. The four port network for this structure is I 1 + V 1-I 3 + V 3-I 2 + V 2-I 4 + V 4-[ Z ] V S Z S Let ports 2, 3 and 4 be terminated in open circuits. Port 1 is terminated in a sinusoidal Thevinen equivalent circuit generator of source voltage V S and internal impedance Z S . The Z-parameters for the four port are Find the voltages V 2 , V 3 and V 4 in terms of V S ....
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homework7 - 3) a) For the coupled lines of problem 2, let s...

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