You have a toaster that uses a Nichrome wire as a heating element. You need to d

Question

You have a toaster that uses a Nichrome wire as a heating element. You need to determine the temperature of the Nichrome wire under operating conditions. First, you measure the resistance of the heating element at 20

You have a toaster that uses a Nichrome wire as a heating element. You need to determine the temperature of the Nichrome wire under operating conditions. First, you measure the resistance of the heating element at 20 degree C and find it to be 90.2 Ohm. Then you measure the current immediately after you plug the toaster into a wall outlet -- before the temperature of the Nichrome wire increases significantly. You find this startup current to be 9.19 A. When the heating element reaches its operating temperature, you measure the current to be 8.00 A. Use your data to determine the maximum operating temperature of the heating element.

Explanation / Answer

R2 =R1 *(1+alpha*dT )

V/I2 = V/I1 *(1+0.0004*dT)

9.19 = 8 *(1+0.0004*(t-20))

t = 391.875

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