IDEAL TRANSMISSION-LINE FUNDAMENTALS - Advanced Signal Integrity for High-Speed Digital Design - page 140

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PROBLEMS

3-1 For the cross section in Figure 3-49, calculate the correct conductor width
w to achieve 50- characteristic impedance, effective dielectric permittiv-
ity, propagation delay for a 10-in.-long line, and the equivalent inductance
and capacitance per meter.

w

e r = 1

t = 1.7

e r = 3.78

h = 3.9

Figure 3-49 Cross section for Problem 3-1.

3-2 For the circuit shown in Figure 3-50 and the transmission line designed
in Problem 3-1, use a lattice diagram to calculate the waveforms at nodes
A and B when driven with a 1-V step.

v s

10 inches
Z 0 = 50 Ω

75 Ω

35 Ω

A B

0-1 V

Figure 3-50 Circuit for Problem 3-2.

3-3 For the 50- cross section in Problem 3-1, use field mapping techniques
to calculate the effective dielectric permittivity, the propagation delay for a
10-in.-long line, and the equivalent inductance and capacitance per meter.
Compare your answers to the results from Problem 3-1 to determine your
accuracy.
3-4 Beginning with Laplace's equation, derive a formula for the characteristic
impedance of the stripline shown in Figure 3-51. Assume an infinitely