University Physics Volume 2

# Key Equations

### Key Equations

 Force on a charge in a magnetic field $F→=qv→×B→F→=qv→×B→$ 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 $F→=Il→×B→F→=Il→×B→$ Magnetic dipole moment $μ→=NIAn^μ→=NIAn^$ Torque on a current loop $τ→=μ→×B→τ→=μ→×B→$ Energy of a magnetic dipole $U=−μ→·B→U=−μ→·B→$ 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 $vmax=qBRmvmax=qBRm$