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    Resistance of Copper Wire

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    See the attached file.

    a) What is the resistance of the wire? (see attachment for diagram and full questions)

    b) If a voltage of 1mV=10^-3volts is applied across the wire, what is the current (I) and current density (J) along the wire?

    c) Taking 1 electron per atom as conducting (we will justify later, why most of the Cu e-`s do not contribute), so the density of conducting e- is 1 Patomic, calculate the drift velocity of the e`s

    d) Calculate the (random thermal mean squared velocity).

    e) If an e- fell through a potential difference at 1mV without any collision (ballistic motion), it would gain a kinetic energy of (e)(1mV)=1^-3 eV.
    Calculate N_ballistic, and N_drift/N_ballistic.

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    Solution Summary

    The resistance and conductivity of a wire is determined. The number of ballistic and drift collisions are also determined through the copper wire.