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A wire carries a current of 2.9 A. It has an uniform diameter of 1mm and 3 x 10^

ID: 2287315 • Letter: A

Question

A wire carries a current of 2.9 A. It has an uniform diameter of 1mm and 3 x 10^24 electrons/m^3. A) Find the deift velocity of the electrons in the wire. B) If the electric field in the above wire is 1 V/m and it is 25 cm long, find its resistance, assuming the wire is straight. A wire carries a current of 2.9 A. It has an uniform diameter of 1mm and 3 x 10^24 electrons/m^3. A) Find the deift velocity of the electrons in the wire. B) If the electric field in the above wire is 1 V/m and it is 25 cm long, find its resistance, assuming the wire is straight.

Explanation / Answer

v = I/neA = 2.9/(3e24*1.6e-19*3.14*0.5e-3*0.5e-3) = 7.69 m/s

b) V = I*R = E*L


R = E*L/I = (2*0.25)/2.9 = 0.1724 ohms

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