Nichrome is a nickel chromium allot commonly used in heating elements. suppose y

Question

Nichrome is a nickel chromium allot commonly used in heating elements. suppose you have a coil of nichrome wire that is 25.0 m long and the wire has a diameter of 0.400 mm and is at 20 degrees C. ( the resistivity of Nichrome is 1.50*10^-8 Omega*m and the temprature coefficient of resistivity is 0.4*10^-3 Degrees C^-1)

a) what is the resistance of the Nichrome at 20.0 Degrees C?

b) If the wire carries a current of 0.500 A, what is the power delivered to the wire?

c) If the temprature is increased to 340 Degrees C, what is the resistance of the Nichrome wire?

Explanation / Answer

Part A)

R = pL/A

R = (1.50 X 10^-8)(25)/(pi)(2 X 10^-4)^2

R = 2.98 Ohms

Part B)
P = I^2R

P = (.5)^2(2.98)

P = .746 W

Part C)

R = Ro[(1 + a(T - To)]

R = (2.98)[(1 + .4 X 10^-3(320)]

R = 3.36 Ohms

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