Figure Q6 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. (a) Describe the electromagnetic coupling (crosstalk) between tracks A and B. 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. (b) If the total mutual inductance between the two tracks Lm = 9 nH, and the total mutual capacitance between the two tracks is Cm = 2 pF, calculate: (c) (i) the amplitude of the near-end pulse VNE-
Figure Q6 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. (a) Describe the electromagnetic coupling (crosstalk) between tracks A and B. 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. (b) If the total mutual inductance between the two tracks Lm = 9 nH, and the total mutual capacitance between the two tracks is Cm = 2 pF, calculate: (c) (i) the amplitude of the near-end pulse VNE-
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Answer b) and c)
![06
Figure Q6 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.
(a)
Describe the electromagnetic coupling (crosstalk) between tracks A and B.
(b)
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.
(c)
If the total mutual inductance between the two tracks Lm = 9 nH, and the total
mutual capacitance between the two tracks is Cm = 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.
(d)
How would you reduce the crosstalk?
50 2
50 Ω
B
50 ΩV.
V 3 50 2
Vt)
5 V
50 ns
50 ns
1 μs
Figure Q6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a214cd6-f30d-411d-a1ad-f5c9f3ceb081%2F5c460c8e-505d-4c1b-8e48-24ba7a6fc76f%2Fjt8wkp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:06
Figure Q6 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.
(a)
Describe the electromagnetic coupling (crosstalk) between tracks A and B.
(b)
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.
(c)
If the total mutual inductance between the two tracks Lm = 9 nH, and the total
mutual capacitance between the two tracks is Cm = 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.
(d)
How would you reduce the crosstalk?
50 2
50 Ω
B
50 ΩV.
V 3 50 2
Vt)
5 V
50 ns
50 ns
1 μs
Figure Q6
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