PCB microstrip resistive losses

QuickField simulation example

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

Problem Type
Plane-parallel problem of AC magnetics.

Geometry

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

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