μ= Ev+E+kln(m/m) The chemical potential is close to the center of the band gap, slightly shifted toward the band with the lighter effective mass. At room temperature, we have an intrinsic electron density of: nsi = 1.45 × 1016 m-3 nGaAs =1.8 × 1012 m-3 for silicon for GaAs Exercise 3: Obtain the carrier densities for electrons and holes and dependence of the chemical potential on temperature.

A mass weighing 16 pounds stretches a spring 8 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a 1 damping force that is numerically equal to - the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s2 for the acceleration 2 due to gravity.) x(t) = ft

A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a 1 damping force that is numerically equal to - the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s? for the acceleration due to gravity.) x(t) = ft

Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i