Physics

Problem

A copper wire is used to connect a heater element to the mains supply. a. (i) The wire is

3.0\,\text{m}

long and has a radius of

0.50\,\text{mm}

. Its resistivity is

1.7 \times 10^{-8}\,\Omega\,\text{m}

. A steady current of

8.0\,\text{A}

flows through it. Calculate the potential difference between the ends of the wire. b. (ii) Hence determine the magnitude of the electric field inside the wire. c. (iii) The free-electron density in copper is

8.5 \times 10^{28}\,\text{m}^{-3}

. Using this information, find the drift velocity of electrons in the wire. d. (iv) Obtain the mobility of electrons in copper from the data above.

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