Question #265368

A conductor having a cross-sectional area of 0.00161 sq in. carries. a current of 4.5 amp. Calculate the electron velocity, assuming the wire to be (a) copper, (b) aluminum.

1
Expert's answer
2021-11-15T17:48:44-0500

A=0.00161inc2

I=4.5 amp


nAl=18.1×1028m3n_{Al}=18.1\times10^{28} m^{-3}

ncu=8.39×1028m3n_{cu}=8.39\times10^{28} m^{-3}

I=nAleAvdI=n_{Al}eAv_d

Vd=InAleAV_d=\frac{I}{n_{Al}eA}

Put value


Vd=4.518.1×1028×1.6×1019×0.00161=9.65×108m/secV_d=\frac{4.5}{18.1\times10^{28}\times1.6\times10^{-19}\times0.00161}=9.65\times10^{-8}m/sec

Vd=IncueAV_d=\frac{I}{n_{cu}eA}

Put value


Vd=4.58.39×1028×1.6×1019×0.00161=2.082×107m/secV_d=\frac{4.5}{8.39\times10^{28}\times1.6\times10^{-19}\times0.00161}=2.082\times10^{-7}m/sec


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