In gold at room temperature, the mobility of mobile electrons is about 4.3×10-3(msVm), and there are about 5.9×1028mobile electrons per cubic meter. Calculate the conductivity of gold, including correct units.

Short Answer

Expert verified

The conductivity of gold is 4.1×107C·Vm3·s.

Step by step solution

01

A conductivity:

Conductivity is proportional to the product of carrier mobility and concentration.

02

A given data:

Mobility of mobile electrons,n=5.9×1028mobiles electronsm3

Mobility of the charge carriers, u=4.3×10-3(msVm)

Charge of the electron, q=-1.6×10-19C

03

The conductivity of gold, including correct units:

Conducting of gold is given by,

σ=qnu

Substitute known values in the above equation.

σ=-1.6×10-19C×5.9×1028mobiles electronsm3×4.3×10-3msVm=4.1×107C·Vm3·s

Hence, the conductivity of gold is4.1×107C·Vm3·s.

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