Figure Q5 shows the cross-section of the typical layout of two tracks (A and B) on a printed circuit board with a ground plane C. The tracks are terminated as shown in the figure, with track A carrying digital signals. You can assume that the lines are electrically short. Draw the equivalent circuit that models the crosstalk and write down a relation between the voltage applied to track A and the voltage coupled on to track B at low frequencies, VNE-. (a) (b) If the total mutual inductance between the two tracks L =9 nH, and the total mutual capacitance between the two tracks is C = 2 pF, calculate: (i) the amplitude of the near-end pulse VNE- (ii) the amplitude of the near-end pulse VNE if the driven line is terminated in a short circuit instead. Comment on the crosstalk. A B C 50 Ω 50 2 A V(t) 50 2 VNE VE 3 50 N V{t) 5 V 50 ns 50 ns 1 us

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Q5
Figure Q5 shows the cross-section of the typical layout of two tracks (A and B) on a
printed circuit board with a ground plane C. The tracks are terminated as shown in the
figure, with track A carrying digital signals. You can assume that the lines are
electrically short.
Draw the equivalent circuit that models the crosstalk and write down a
relation between the voltage applied to track A and the voltage coupled on to
track B at low frequencies, VNE-
(a)
(b)
If the total mutual inductance between the two tracks L =9 nH, and the total
mutual capacitance between the two tracks is C =2 pF, calculate:
(i)
the amplitude of the near-end pulse VNE-
(ii)
the amplitude of the near-end pulse VNE if the driven line is terminated
in a short circuit instead. Comment on the crosstalk.
A
B
50 2
50 N
A
B
50 Ω V.
VE
50 Ω
Vs(t)
5 V
50 ns
50 ns
1 μs
Figure Q5
Transcribed Image Text:Q5 Figure Q5 shows the cross-section of the typical layout of two tracks (A and B) on a printed circuit board with a ground plane C. The tracks are terminated as shown in the figure, with track A carrying digital signals. You can assume that the lines are electrically short. Draw the equivalent circuit that models the crosstalk and write down a relation between the voltage applied to track A and the voltage coupled on to track B at low frequencies, VNE- (a) (b) If the total mutual inductance between the two tracks L =9 nH, and the total mutual capacitance between the two tracks is C =2 pF, calculate: (i) the amplitude of the near-end pulse VNE- (ii) the amplitude of the near-end pulse VNE if the driven line is terminated in a short circuit instead. Comment on the crosstalk. A B 50 2 50 N A B 50 Ω V. VE 50 Ω Vs(t) 5 V 50 ns 50 ns 1 μs Figure Q5
(a)
E = 10e¬4xt ( mv /m
we know, intrinsic impedance is given as,
E
= Ni
H.
SO,
10* 103
188.5
H.
H = 53.05 * 10-° A/m
= ax
aE * aH
父* aH
Å * ŷ = 2
hence,
aH = ŷ
and H
= 53.05e-J4nz
ý µA/m
Transcribed Image Text:(a) E = 10e¬4xt ( mv /m we know, intrinsic impedance is given as, E = Ni H. SO, 10* 103 188.5 H. H = 53.05 * 10-° A/m = ax aE * aH 父* aH Å * ŷ = 2 hence, aH = ŷ and H = 53.05e-J4nz ý µA/m
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