ELE533 Mid Term Question 4
Derive Einstein's relation, Dn = Vtun Answer Assume Jn = unqnE + qDn(dn/dx) = 0 Since n = niEV/Vt E = -(dV/dx) = -Vt(1/n)dn/dx unqnE = -unqnVt(1/n)dn/dx = -qDn(dn/dx) Dn = Vtun
Dn = Vtun
Answer
Assume
Jn = unqnE + qDn(dn/dx) = 0 Since n = niEV/Vt E = -(dV/dx) = -Vt(1/n)dn/dx unqnE = -unqnVt(1/n)dn/dx = -qDn(dn/dx) Dn = Vtun
Since n = niEV/Vt
E = -(dV/dx) = -Vt(1/n)dn/dx
unqnE = -unqnVt(1/n)dn/dx = -qDn(dn/dx)