EMG-26

Cyclotron frequency

Ion cyclotron.

Reading speed

GoverningCyclotron frequency

Governing equation

\\omega=qB/m

where

B: B (T)
m: m (u)
f: Cyclotron frequency (MHz)

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-26 — Cyclotron frequency) is the form associated with Cyclotron frequency. Working symbols: $B$ , $m$ $\rightarrow$ $f$ . Ion cyclotron. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

f

from

B

m

in Electromagnetism via

\\omega=qB/m

Ion cyclotron. Use it when a real electromagnetism question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

B = 0.500\,\mathrm{T}

m = 1.000\,\mathrm{u}

, the governing relation

\\omega=qB/m

yields

f = 7.677\,\mathrm{MHz}

. 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

B B0.5 Tm m1 u

Outputs

Cyclotron frequency f7.677 MHz

Reading speed

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Narration of this film

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

Ion cyclotron. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube