Question

In: Physics

8.0 x 10^15 electrons flow through a cross section of silver wire in 340 us with...

8.0 x 10^15 electrons flow through a cross section of silver wire in 340 us with a drift speed of 7.6 x 10^-4m/s .

What is the diameter of the wire?

Solutions

Expert Solution

The number of electrons can be expressed as,

                Ne = nAvt

Thus, the area of the cross-section of wire is,

             A = Ne / nvt

        (pi)r2 = Ne /nvt

Thus, the radius of the wire is,

             r = [Ne/ (pi)nvt)]1/2

               = [(8.0 x 10^15) / (pi)(5.8x1028 m^-3)(7.6 x 10^-4 m/s)(340x10-6 s)]1/2

               = 4.122x10-4 m

Therefore, the diameter of the wire is,

            d = 2r

               = 2(4.122x10-4 m)

               = 8.244x10-4 m

                = 0.8244 mm


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