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Microstrip Transmission Line formulas
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Microstrip line :

[Layer]

Wadell formula :

[Wadell Z0 Formula]

The equation for Z0 are accurate to within 2% for any Er, w

See Hammerstad formula for Eeff equation.


cf: Wadell, Brian C - Transmission Line Design Handbook Artech House 1991


Hammerstad formula :

Hammerstad Hypothesis is   t/h < 0.05. So an proposition is given to correct equation following h parameter.


[Hammerstad Formula]

The equation for Eeff are accurate to within 1% for:

  Er ≤ 16 (< 2% if Er > 16)

  0.05 ≤ w/h ≤ 20 (< 2% if w/h < 0.05)



IPC formula :

[IPC-2141 Formula]

The rough accurate is within:

5% for 0.1 < w/h < 0.2
2% for 0.2 < w/h < 1.5
5% for 1.5 < w/h < 2.0
10% for 2.0 < W/h < 2.7
15% for 2.7 < w/h < 3.0

IPC - Association Connecting Electronics Industries - www.ipc.org


π LC model :

[L equation]
[C equation]
[TLM PI]