Electricity & Magnetism
Cyclotron Frequency
Frequency of circular motion of charged particle in magnetic field.
Variables
fHz
Frequency
Cyclotron frequency
qC
Charge
Particle charge
BT
Magnetic field
Field strength
mkg
Mass
Particle mass
Derivation
From qvB = mv²/r and ω = v/r, f = ω/(2π) = qB/(2πm).
Your notes
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Common questions
What is the Cyclotron Frequency formula?
Cyclotron Frequency is written f = qB/2πm. Frequency of circular motion of charged particle in magnetic field. It belongs to Electricity & Magnetism, under Magnetism.
What are the units in f = qB/2πm?
In SI units, f is frequency, measured in s⁻¹; q is charge, measured in A·s; B is magnetic field, measured in kg/(A·s²); m is mass, measured in kg.
How is the Cyclotron Frequency formula derived?
From qvB = mv²/r and ω = v/r, f = ω/(2π) = qB/(2πm). The result is f = qB/2πm.