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PCB microstrip dielectric losses

QuickField simulation example

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

Problem Type
Plane-parallel problem of AC conduction.

Geometry
PCB microstrip dielectric losses This is an example of the microstrip line AC conduction simulation, performed with QuickField software. Dielectric (ε=4.3) Copper 200 μm 420 μm 35

Given
Trace potential V = 2 V.
Loss tangent tan(δ) = 0.018.
AC frequency f = 100 MHz.
Line length Lz = 1 inch.

Task
Determine dielectric losses in the FR4 board.

Solution
To calculate losses we specify effective conductivity of the board to be
γ = 2πf*ε*tan(δ).
QuickField calculates AC electric current density distribution and the Joule losses in the board.

Result
Effective conductivity of the board is 0.43 mS/m.
Joule losses in the board 29 uW (per 1 inch)
AC (effective) current density distribution in the board
Microstrip dielectric losses