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Mutual inductance and crosstalk analysis

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The mutual inductance between the two circuits shown in FIGURE 2 is
20 nH. It may be assumed that (R1 + R*L1) >> w*L1 and that (R2 + RL2) >> w*L2.

(a) Estimate the crosstalk voltage at the load of circuit B when the signal
source of circuit A is V1 = 100 mV at 1 GHz.

(b) Plot the crosstalk voltage (at the load of circuit B) as a function of
frequency.

(c) Suggest three ways of reducing inductive crosstalk

The question is attached.

https://brainmass.com/physics/circuits/mutual-inductance-and-crosstalk-analysis-446194

Solution Preview

The following questions are addressed around crosstalk

The mutual inductance between the two circuits shown in ...

Solution Summary

The following questions are addressed around crosstalk

The mutual inductance between the two circuits shown in FIGURE 2 is
20 nH. It may be assumed that (R1 + R*L1) >> w*L1 and that (R2 + RL2) >> w*L2.

(a) Estimate the crosstalk voltage at the load of circuit B when the signal
source of circuit A is V1 = 100 mV at 1 GHz.

(b) Plot the crosstalk voltage (at the load of circuit B) as a function of
frequency.

(c) Suggest three ways of reducing inductive crosstalk

\$2.19

NEXT and FEXT crosstalk calculations

For a lossless line:
The characteristic impedance is given by Zo=sqrt(L/C) and the velocity of propagation by Vp=1/(sqrt(L*C))
Where L and C are, respectively, the line's inductance and capacitance per metre length.
A transmission line is formed by two identical parallel tracks in a printed circuit board, as depicted in the attached figure. The line has a length of 50 mm and all line terminations are of 70 . The line can be assumed to be lossless.

a) Use equations (1) and (2) to calculate the magnitude of the NEXT and FEXT voltages generated in the victim conductor when the source voltage, Vin, in the aggressor conductor is a voltage step of 2 V with a rise time of 100 ps.
[Note that the Vs voltage at the input to the aggressor conductor is

Equations:
NEXT
The crosstalk voltage appearing at the near end of the victim circuit due to a changing voltage Vs(t) in the aggressor circuit is given by:
Vne=Kne[Vs(t)-Vs(t-2td)]............(1a)
Kne=1/4td(C*Zo+L/Zo)...............(1b)
Kne is the near end coupling coefficient and C and L are the per unit length mutual capacitance and inductance respectively and td is the time taken for the aggressor signal to travel down the line.
FEXT
The crosstalk voltage generated at the far end of the victim circuit due to a changing voltage Vs(t) in the aggressor circuit is given by:
Vfe=Kfe*l*d/dt[Vs(t-td)]...............(2a)
where l is the length of the line
Kfe=1/2(C*Zo-L/Zo.....................(2b)

b) Sketch the NEXT and FEXT waveforms.

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