Derive the relativistic equation of motion in the form (1.4), starting from (1.1) and the relation (1.2).
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Derive the relativistic equation of motion in the form (1.4), starting from (1.1) and the relation (1.2).
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dp dt = F =q(E+vx B) (1.1)
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To derive the relativistic equation of motion in the form 14 starting from 11 and the relation 12 well make use of the Lorentz transformations and the definition of the relativistic momentum Given 11 dpdt F qE v x B 12 p ymv where y is the Lorentz factor m is the rest mass and v is the velocity We want to find 14 14 dvdt qm E v x B Lets proceed with the derivation Expressing v in terms of momentum p From equation 12 we ...View the full answer
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