A toaster uses a Nichrome heating wire. When the toaster is turned on at 20°C, the initial current is 1.50 A.

Question

A toaster uses a Nichrome heating wire. When the toaster is turned on at 20°C, the initial current is 1.50 A. A few seconds later, the toaster warms up and the current has a value of 1.22 A. The average temperature coefficient of resistivity for Nichrome wire is 4.5 10-4 (C°)-1. What is the temperature of the heating wire?

~If possible, please explain in detail how you got the answer. Thanks.

Answer 1

We can use E = IR twice to get the cold and the hot resistance; these are 80 ohms and 98.36 ohms, respectively (assuming 120 volts, although the voltage actually doesn't matter). The resistance has increased by a factor of 1.2295, and dividing the increase (0.2295) by 4.5E-4 gives a temperature rise of 510 C. So, the final temperature is 530 C.

Answer 2

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A toaster uses a Nichrome heating wire. When the toaster is turned on at 20°C, the initial current is 1.50 A.
A toaster uses a Nichrome heating wire. When the toaster is turned on at 20°C, the initial current is 1.50 A. A few seconds later, the toaster warms up and the current has a value of 1.22 A. The average temperature coefficient of resistivity for Nichrome wire is 4.5 10-4 (C°)-1. What is the...

Answer 3

Nichrome Heating Wire

Answer 4

PT has a can of white frosting he would not mind sharing for 56 of those toaster strudels. What say you Wonder?

Answer 5

1.50R1 = 1.22R2
R2 = R1(1 + 4.5*10^-4(T - 20)
(1 + 4.5*10^-4(T - 20) = 1.50/1.22
1.22 + 5.49*10^-4T - 0.0133956 = 1.50
5.49*10^-4T = 0.2933956
T ≈ 534.42°C