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Kirchoff's Voltage Law

An electron o...

Question

An electron of mass m and charge e is accelerated from rest through a potential difference v in vacuum. What speed will it acquire?

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Solution

Work done = e×V (e - charge on electron, V - potential difference)

Since this work is stored in the form of Kinetic energy ,

1/2 mv²= eV

Therefore v = [(2×e×V)÷m]^½

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