Figure 3.9: Simplified circuit for determining the equivalent odd mode capacitance.
Similarly, the effect of the mutual capacitance can be derived. Refer to
Figure 3.9
. Applying
Kirchhoff's current law at nodes V
1
and V
2
yields (assume that
)
(3.18)
(3.19)
Again, substitution of I
1
= -I
2
and V
1
= -V
2
for odd-mode propagation yields
(3.20)
(3.21)
Therefore, the equivalent capacitance seen by trace 1 in a pair of coupled transmission line
propagating in odd mode is
(3.22)
Subsequently, the equivalent impedance and delay for a coupled pair of transmission lines
propagating in an odd-mode pattern are
Summary :
Applying Kirchhoff's current law at nodes V 1 and V 2 yields (assume that ) (3.18) (3.19) Again, substitution of I 1 = -I 2 and V 1 = -V 2 for odd-mode propagation yields (3.20) (3.21) Therefore, the equivalent capacitance seen by trace 1 in a pair of coupled transmission line propagating in odd mode is (3.22) Subsequently, the equivalent impedance and delay for a coupled pair of transmission lines propagating in an odd-mode pattern are
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capacitance,equialent,propagating,transmission,odd,figure,pair,coupled,oddmode,yields,mode,substitution,line