Copper has 8.5 $\times$ 10²⁸ current carrying electrons per m³.A copper wire carries a current of 17 mA,and the drift velocity of the electrons is measured to be 18 $\times$ 10^-6 m/s.What is the wire radius? A) 0.15 mm B) 0.27 mm C) 2.7 mm D) 1.5 mm

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Quizplus · Accepted Answer

The current is given by:I = n * A * v * qwhere:n is the number of current carrying electrons per unit volumeA is the cross-sectional area of the wirev is the drift velocity of the electronsq is the charge of an electronWe can rearrange this equation to solve for the cross-sectional area:A = I / (n * v * q)Plugging in the given values, we get:A = (17 * 10^-3 A) / ((8.5 * 10^28 m^-3) * (18 * 10^-6 m/s) * (1.6 * 10^-19 C))A = 2.7 * 10^-8 m^2The radius of the wire is then:r = sqrt(A / pi)r = sqrt(2.7 * 10^-8 m^2 / pi)r = 0.15 mmTherefore, the correct answer is A.

Copper Has 8 ×\times× 1028 Current Carrying Electrons Per M3 ×\times× 10-6 M/s

Copper Has 8 $\times$ 10²⁸ Current Carrying Electrons Per M³ $\times$ 10^-6 M/s