What Is the RF Skin Depth & Surface Conductor Attenuation Calculator?
Skin depth is the depth below a conductor surface where current density drops to 1/e (~37%) of its surface value.
How Does the RF Skin Depth & Surface Conductor Attenuation Calculator Work?
Changing magnetic fields generate opposing counter-EMF currents in the conductor interior, crowding current to the perimeter.
RF Skin Depth & Surface Conductor Attenuation Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
\delta = \frac{1}{\sqrt{\pi f \mu \sigma}} = \sqrt{\frac{\rho}{\pi f \mu}}, \quad R_s = \frac{1}{\sigma \delta} = \sqrt{\frac{\pi f \mu}{\sigma}}
Skin depth and surface resistivity in good electrical conductors.
How to Use the RF Skin Depth & Surface Conductor Attenuation Calculator
- Input frequency, material conductivity, and relative permeability.
Step-by-Step Example Calculation
1 GHz Copper Conductor
Input Values:
frequencyHz:1000000000
conductivitySiemensPerM:58000000
relativePermeabilityUr:1
Worked Steps: Predicts skin depth delta ~2.09 µm and surface resistance Rs ~8.26 mΩ/sq.
Understanding Your Result
Displays skin depth in micrometers and surface resistance in mΩ/sq.
Factors That Affect the Result
- Skin depth shrinks inversely with the square root of frequency.
When Should You Use This Calculator?
- Inductor Q factor estimation, coaxial cable attenuation, and RF plating thickness specifications.
Assumptions & Limitations
- Valid for good conductors where conduction current dominates displacement current (sigma >> omega*eps).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard Maxwell electromagnetic boundary condition formulation.