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Derive an expression for drift velocity of electrons in a conductor. Hence, deduce Ohm’s law.

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Let υd be the drift velocity.

Electric field produced inside the wire is

E = V/l ………… (i)

Force on an electron, a = — Ee

Acceleration of each electron a= -Ee/m

[ from Newton’s law, a = F/m]

where m is mass of electron.

Velocity created due to this acceleration = Ee/m τ

where τ is the time span between two consecutive collisions. This ultimately becomes the drift velocity in steady-state.

We know that current in the conductor i = neAυd (where, n is number of free electrons in a conductor per unit volume)

This is Ohm’s law.

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