Find the drift velocity of conduction electrons in a gold wire of diameter 2.40 mm 2.40 mm when a current of 0.373 A 0.373 A flows in it. The density of conduction electrons in gold is 5.90 * 10 28 m - 3 5.90*1028 m-3.

Drift velocity of conduction electrons in Gold = 8.73 * 10⁻⁶ m/s = 8.73 μm/s

Explanation:

Drift velocity, v, is given by

v = I / (nAq)

where v = drift velocity

I = current in the wire

n = number of electrons per cubic metre for the wire

A = Cross sectional Area of the wire

q = charge on one electron

I = 0.373 A

A = πD²/4 = π (0.0024) ²/4 = 4.52 * 10⁻⁶ m²

q = 1.602 * 10⁻¹⁹ C

n = 5.90 * 10²⁸ electrons/m³

v = 0.373 / (5.90 * 10²⁸ * 4.52 * 10⁻⁶ * 1.602 * 10⁻¹⁹) = 8.73 * 10⁻⁶ m/s