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Define 'current density'. Is it a scalar or a vector ? An electric field E is maintained in a metallic conductor. If n be the number of electrons (mass m, charge – e) per unit volume in the conductor and τ its relaxation time, show that the current density j = αE, where α = (ne²/m)τ.
Define resistivity of a conductor. How does the resistivity of a conductor depend upon the following : (a) Number density of free electrons in the conductor (n) (b) Their relaxation time (τ)
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