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Particles accelerated by an electric field Ek = energy gained by the particle q = charge on the particle V = accelerating voltage Ek qV Ek mv 1 2 Ek = energy gained by the particle q = charge on the particle V = accelerating voltage 2 Erest EK Erest 1 2 v 1 2 c v 1 1 2 c γ = Lorentz factor Erest = rest energy Ek = kinetic energy γ = Lorentz factor v = velocity c = speed of light Rearrangement of the above formula!! γ = Lorentz factor v = velocity c = speed of light You should not need this – you *must* learn to rearrange it yourself!!! Uniform electric fields V E d E = electric field strength (NC-1 or Vm-1) V = Voltage between plates d = distance between plates F E q E = electric field strength F = force on a charged particle in the field q = charge on particle Uniform magnetic fields F qvB mv F r 2 F = force exerted on moving charge by magnetic field q = charge on particle v = velocity of charge (perpendicular to field) B = strength of magnetic field F = force required to constrain circle to circular path m = mass of particle v = velocity of charge r = radius of circular path Leads to: mv r qB r = radius of circular path m = mass of particle v = velocity of charge q = charge on particle B = strength of magnetic field You should not need this – you *must* learn to rearrange it yourself!!!