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Key Equations

Force on a charge in a magnetic field F=qv×BF=qv×B
Magnitude of magnetic force F=qvBsinθF=qvBsinθ
Radius of a particle’s path in a magnetic field r=mvqBr=mvqB
Period of a particle’s motion in a magnetic field T=2πmqBT=2πmqB
Force on a current-carrying wire in a uniform magnetic field F=Il×BF=Il×B
Magnetic dipole moment μ=NIAn^μ=NIAn^
Torque on a current loop τ=μ×Bτ=μ×B
Energy of a magnetic dipole U=μ·BU=μ·B
Drift velocity in crossed electric and magnetic fields vd=EBvd=EB
Hall potential V=IBlneAV=IBlneA
Hall potential in terms of drift velocity V=BlvdV=Blvd
Charge-to-mass ratio in a mass spectrometer qm=EBB0Rqm=EBB0R
Maximum speed of a particle in a cyclotron vmax=qBRmvmax=qBRm
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