Recall that the density J of current flowing through a material can be written i

Question

Recall that the density J of current flowing through a material can be written in terms of microscopic properties of the material: j =n q vd , where n is the density of current carriers, q is the charge of one current carrier, and vd is the drift velocity of a current carrier. In a metal, the current carriers are electrons.

Recall that the conductivity simga of a substance is defined by the relation J= simgaE and that the resistivity p is the inverse of the conductivity:

p=1/sigma . Give an expression for p in terms of microscopic properties of a metal. Use qe for the charge on the electron.

Express your answer in terms of

EF , m , qe , d , E , and n .

Explanation / Answer

p=1/sigma

p=1/(J/E)=E/J=E/n(qe)(vd)

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