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Consider how electrons carry a current on an Ohmic conductor and how they collid

ID: 1411055 • Letter: C

Question

Consider how electrons carry a current on an Ohmic conductor and how they collide with stationary ions. Electrons are accelerated by an electric force due to an applied electric field. They collide with stationary ions at intervals. A collision time is defined as the average time between collisions. Establish the drift velocity Vd as a function of the applied electric field E, the charge of the electron q and the mass of the electron m and the collision time . You may assume that after each collision, the velocity of the electron becomes zero. The applied force is constant.

Explanation / Answer

Vo = initial velocity of electron = 0 m/s

m = mass

q = charge

E = electric field

electric force is given as

F = qE

acceleration of electron is given as

a = F/m = qE/m

using the equation

Vd = Vo + at

Vd = 0 + (qE/m )

Vd = qE/m

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