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A charged particle of charge e and mass m is moving

Question:

A charged particle of charge e and mass m is moving in an electric field E and magnetic field B. Construct dimensionless quantities and quantities of dimension [T]-1.

Solution:

mv2/R = evB

eB/m = v/R = ꞷ

B = F/ev = [MA-1T-2] [ꞷ] = [eB/m]=[v/R] = [T-1]

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