A 10.0 cm length of copper wire has a uniform cross-sectional area of 1.0 mm2. If the drift speed of electrons in the wire is: 2.0x10-4 m/s and the electrons all move directly along the wire, what is the magnitude of the current density? What is the total current carried by the wire.
a)
drift speed,
Vd = J/(n*q)
J --> current density = ?
n --> charge carrier density = 8.5*10^28 /m^3
q --> charge of electron = 1.6*10^-19 C
so,
J = vd*n*q
= 2*10^-4*8.5*10^28*1.6*10^-19
= 2.72*10^6 A/m^2
b) current through wire, I = J*A
= 2.72*10^6*(1*10^-3)^2
= 2.72 A
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