回波损耗计算器

使用此回波损耗计算器快速获得准确的计算结果。

Hz
S/m

Copper = 5.8e7, Aluminum = 3.77e7

1 for non-magnetic materials

趋肤深度

0.000066 m

趋肤深度0.0661 mm
趋肤深度66.1 µm

Skin Depth vs Frequency

公式

## What is Skin Depth? Skin depth is the distance into a conductor at which the current density drops to 1/e (about 37%) of its surface value. At high frequencies, current flows mostly near the surface. ### Formula **delta = 1 / sqrt(pi x f x mu x sigma)** Where f is frequency, mu is permeability (mu_0 x mu_r), and sigma is conductivity. ### Practical Impact - At 1 MHz in copper: skin depth is about 0.066 mm - At 1 GHz in copper: about 2.1 micrometers - Conductors for RF need only be a few skin depths thick

计算示例

Copper conductor (sigma = 5.8e7 S/m, mu_r = 1) at 1 MHz.

  1. 01mu = 1 x 4pi x 10^-7 = 1.2566e-6 H/m
  2. 02delta = 1 / sqrt(pi x 1e6 x 1.2566e-6 x 5.8e7)
  3. 03= 1 / sqrt(229.37) = 1 / 15.15 = 0.0660 mm = 66.0 micrometers

常见问题

Why does skin depth matter?

It determines the effective cross-section of a conductor at RF frequencies. Thicker conductors waste material beyond a few skin depths.

How does skin depth affect PCB traces?

At GHz frequencies, only a thin layer of copper carries current. Surface roughness and plating quality significantly affect loss.

What about magnetic materials?

Magnetic materials (mu_r > 1) reduce skin depth dramatically, which is why they are used in shielding applications.

学习

Ohm's Law Guide

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