EMG-28

Vacuum impedance

Free-space impedance.

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GoverningVacuum impedance

Governing equation

Z_0=\\sqrt{\\mu_0/\\varepsilon_0}

where

k: k (—)
Z: Vacuum impedance (Ω)

Lecture brief

Historical brief

Coulomb, Gauss, Ampère, Faraday and Maxwell (1861–65) unified charge, current and light. The lab computes fields, induction, Poynting flux and the electromagnetic wave in SI. This sheet (EMG-28 — Vacuum impedance) is the form associated with Vacuum impedance. Working symbols: $k$ $\rightarrow$ $Z$ . Free-space impedance. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

Z

from

k

in Electromagnetism via

Z_0=\\sqrt{\\mu_0/\\varepsilon_0}

Free-space impedance. Use it when a real electromagnetism question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

k = 1.000\,\mathrm{—}

, the governing relation

Z_0=\\sqrt{\\mu_0/\\varepsilon_0}

yields

Z = 376.730\,\mathrm{Ω}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

k k1 —

Outputs

Vacuum impedance Z376.730 Ω

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Free-space impedance. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube