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# Electromagnetism summary

## Summary of electromagnetism

Force on a moving charged particle: $$F=BQv\sin\theta$$

Fleming's left hand rule: force (thumb), magnetic field (index), velocity (middle)

Radius of circular motion of a moving charged particle in a magnetic field: $r=mv/BQ$

Period of circular motion of a moving charged particle in a magnetic field: $T=2\pi m/BQ$

Electric force on a charge in a velocity selector: $F_{E}=QE$

Magnetic force on a charge in a velocity selector: $F_{B}=BQv$

Velocity of particles which are not deflected by a velocity selector: $$v=\frac{E}{B}$$

Force on a current-carrying conductor: $$F=BI\ell\sin\theta$$

Force between two wires: $$\frac{F}{\ell}=\frac{\mu_{0}I_{1}I_{2}}{2\pi d}$$