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Microstrip crossover

Crossovers in the digital circuit design cause parasitic capacitance, resulting in high frequency cross talk.

Problem Type: electrostatics.

Geometry: 3D extrusion.

microstrip crossover model

Equivalent electric circuit:

microstrip crossover circuit

Given:
Relative permittivity of air ε = 1,
Relative permittivity of substrate ε = 10,
Strip1 potential U1 = -0.5 V,
Strip2 potential U2 = +0.5 V.

Problem:
Find the mutual capacitance between strips C12.

Solution:
To find the mutual capacitances C12 we should switch off all voltage sources and apply opposite potentials on stip1 and stip2.

QuickField simulation gives charge q distribution. The capacitance then can be calculated as C = q / (U2 - U1).

Results:
The measured charge q = 1.76e-12 C.
The capacitance is C12 = 1.76e-12 / (0.5 - (-0.5)) = 1.76e-12 F.

microstrip crossover simulation

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