In: Physics
(a) Solve the Drude equation for an electron in a metal sample that
is in a constant electric field E0. Leave the
integration constants unknown.
(b) Suppose that at the time t0 = 0 we disconnected the electric field. What is the dependence of drift velocity on time?
(c) What is the solution for the drift velocity vd in part (a) for t >> τ? Suppose that the drift velocities of all electrons are equal to what is the current density j = −envd? Derive Ohm's law and DC electrical conductivity from this relation.
The result:
(b) vd=p0/m x e-t/τ