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Main >> Applications >> Sample problems

PCB microstrip resistive losses - QuickField simulation example

This is an example of the microstrip line simulation, performed with QuickField software.

Engineering question

How to find microstrip trace AC resistance?

Answer
Set up a plane-parallel QuickField AC Magnetics problem for a PCB microstrip trace and evaluate AC resistance from computed field results.

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Typical applications
high-frequency PCB traces, skin-effect conductors, signal integrity conductors

PCB microstrip resistive losses

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Simulation problem

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
PCB microstrip resistive losses This is an example of the microstrip line AC magnetic simulation, performed with QuickField software. Dielectric Copper

Given
Copper electric conductivity g = 56 MS/m.
Current I = 1 uA.
AC frequency f = 100 MHz.
Line length Lz = 1 inch.

Task
Determine resistive losses in the trace and AC resistance.

Solution
In the trace AC current flows in one direction. The return current flows in the ground plane. QuickField calculates potential drop, current density distribution and Joule losses.
Trace AC resistance R ~ = Losses / I ².

Result
Joule heat losses in the trace 1.77e-13 W (per 1 inch).
Trace AC resistance R~ = 1.77e-13 / (1e-6)² = 0.177 Ohm (per 1 inch).
Current density distribution in the microstrip trace and ground plane
Microstrip resistive losses

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  • Microstrip resistive losses

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