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A toaster uses a Nichrome heating wire. When the toaster isturned on at 11 °C, t

ID: 1671124 • Letter: A

Question

A toaster uses a Nichrome heating wire. When the toaster isturned on at 11 °C, the initial current is 1.89 A. A fewseconds later, the toaster warms up and the current has a value of1.45 A. The average temperature coefficient of resistivity forNichrome wire is 4.4 x 10-4 (C°)-1. Whatis the temperature of the heating wire? What I did: T=[(Ii / If)-1] / =[(1.89 A / 1.45 A)-1] / (4.4 x 10-4) = 689.655 deg. C Then, 689.655 degrees C - 11 degrees C = 678.655, but thisanswer is not working for some reason. A toaster uses a Nichrome heating wire. When the toaster isturned on at 11 °C, the initial current is 1.89 A. A fewseconds later, the toaster warms up and the current has a value of1.45 A. The average temperature coefficient of resistivity forNichrome wire is 4.4 x 10-4 (C°)-1. Whatis the temperature of the heating wire? What I did: T=[(Ii / If)-1] / =[(1.89 A / 1.45 A)-1] / (4.4 x 10-4) = 689.655 deg. C Then, 689.655 degrees C - 11 degrees C = 678.655, but thisanswer is not working for some reason.

Explanation / Answer

   The temperature you have got aftercalculations is not final temperature, it is temperaturedifference. So you must add 110 to get the answer.