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=nqvd, 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 ? of a substance is defined by the relation J=?E and that the resistivity ? is the inverse of the conductivity: ?=1/?. Give an expression for ? 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

as current density j = nq Vd

and

J = sigma E

where sigma = 1/rho

so

sigma = J/E

sigma = nq Vd/E

also Vd = Ef*d

where Ef is eelctric fielf and d is disatnce

so

sigma = n q Ef d /E

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.