A copper wire of 3.2 mm in diameter and 4 m length carries a certain amount of current. The conduction electron density in copper is 8.49x1028 electrons/m3 . A 75.0-Ω resistor is connected with the copper wire to the terminals of a battery whose emf is 11.0 V and whose internal resistance is 0.8 Ω. Calculate (a) the current in the circuit, (b) the current density in the wire, (c) the terminal voltage of the battery, Vab,
A copper wire of 3.2 mm in diameter and 4 m length carries a certain amount of current. The
electron density in copper is 8.49x1028 electrons/m3
. A 75.0-Ω resistor is connected with the copper wire
to the terminals of a battery whose emf is 11.0 V and whose internal resistance is 0.8 Ω. Calculate (a) the
current in the circuit, (b) the current density in the wire, (c) the terminal voltage of the battery, Vab, and (d)
the power dissipated in the resistor R, (e) the power dissipated in the battery’s internal resistance r, (f) the
resistivity of the wire, (g) the drift velocity of the free electrons, and (h) Estimate the rms speed of
electrons assuming they behave like an ideal gas at 20°C. Assume that one electron per Cu atom is free to
move (the others remain bound to the atom).
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