A coil of Nichrome wire is 23.0 m long. The wire has a diameter of 0.350 mm and

Question

A coil of Nichrome wire is 23.0 m long. The wire has a diameter of 0.350 mm and is at 20.0 degree C. a). If it carries a current of 0.460 A, what is the magnitude of the electric field in the wire? Your response differs from the correct answer by more than 10%. Double check your calculations. V/m b). If it carries a current of 0.460 A, what is the power delivered to it? 82.48 Your response differs from the correct answer by more than 10%. Double check your calculations. W c). If the temperature is increased to 360 degree C and the potential difference across the wire remains constant, what is the power delivered? Your response differs from the correct answer by more than 10%, Double check your calculations.

Explanation / Answer

a) R = p L / A

value of resistivity = 1.1 * 10-6 ohm.m

R = (1.1 * 10-6 * 23) / (pi * (0.175 * 10-3)2) = 262.96 ohms

a) V = I R = 0.46 * 262.96 = 120.96 V

E = V / d = 120.96 / 23 = 5.26 V/m

b) P = I2 R = 0.462 * 262.96 = 55.64 W

c) R = R0(1 - alpha*delta T) = 262.96 (1 - 0.4 * 10-3 * (360-20)) = 227.2 ohm

P = I2 R = 0.462 * 227.2 = 48.1 W

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