A copper wire is used to connect a heater element to the mains supply.
(i) The wire is 3.0m long and has a radius of 0.50mm. Its resistivity is 1.7×10−8Ωm. A steady current of 8.0A flows through it. Calculate the potential difference between the ends of the wire.
(ii) Hence determine the magnitude of the electric field inside the wire.
(iii) The free-electron density in copper is 8.5×1028m−3. Using this information, find the drift velocity of electrons in the wire.
(iv) Obtain the mobility of electrons in copper from the data above.