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Electromagnetism summary

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