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Derive the formula for electron charge to mass ratio e/m=2V/(Br)^2: first, explain why formulas (mv^2)/r=evB and eV=1/2mv^2 must hold....

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Physics

Derive the formula for electron charge to massratio

e/m=2V/(Br)^2: first, explain why formulas

(mv^2)/r=evB and

eV=1/2mv^2 must hold. Then, do what algebra is necessaryto show that those formulas imply formulae/m=2V/(Br)^2

Answer & Explanation Solved by verified expert
4.1 Ratings (531 Votes)
The electron is first accelerated by potential V The magnitudeof the work done by the electric field to accelerate an electron bypotential difference V iswhere e is the electronic charge By work energy theorem thechange in kinetic energy of a    See Answer
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