Derive an expression for the drift speed of electrons in a good conductor in terms of the relaxation time of the electrons
Answers
Answered by
2
i) When conductor is subjected to an electric field E, each electron experience a force.
F=-eE
and acquires an acceleration
a = F/m = - eE/m -----(i)
Here m = mass of election, e = charge, E = electric field.
The average time difference between two consecutive collisions is known as relaxation time of election.
(ii) According to drift velocity expression, relaxation time is the time interval between successive collisions of an electron on increasing temperature, the electrons move faster and more collisions occur quickly. Hence, relaxation time decreases with increase in temperature which implies that drift velocity also decreases with temperature.
F=-eE
and acquires an acceleration
a = F/m = - eE/m -----(i)
Here m = mass of election, e = charge, E = electric field.
The average time difference between two consecutive collisions is known as relaxation time of election.
(ii) According to drift velocity expression, relaxation time is the time interval between successive collisions of an electron on increasing temperature, the electrons move faster and more collisions occur quickly. Hence, relaxation time decreases with increase in temperature which implies that drift velocity also decreases with temperature.
Attachments:
Similar questions