Force onCurrent Carrying Wires and Drift Velocity
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In order to get an idea of the magnitude of magnetic forces, find the force per unit length between very long equal and opposite 10 ampere currents separated by 1 centimeter. Find the ratio of this to the weight per unit length of the copper wire described in Exercise 12-17.
12.17. A copper wire 2.5 mm in diameter in carrying a current of 10 amperes. Assume one free electron per copper atom and find the magnitude of the drift velocity. (Copper has a density of 8.92g/cm3 and an atomic weight of 63.5grams/mole and Abogadro's number is 6.02 x 10^23/mole.
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Solution Summary
This solution applies the formula for calculation of force acting between parallel current carrying wires and formula for drift velocity.
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Force per unit length = (mu_0 x I X I ) /(2 x pi x d)
= (4 pi x 10^-7 x 10 x 10) / (2 x pi x 0.01) { I = 10A , d = 0.01 m )
= 2 x 10^-3 N/m
Weight of wire per unit length = (pi x (radius)^2) x 1 metre x density of copper x acceleration due to gravity
= (pi x r^2) x ...
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