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a nichrome wire is used as a heating element in a toaster. from the moment the toaster is first turned on to the moment the wire reaches it maximum temperature, the current in the wire drops by 20.0% from its initial value. what is the temperature change in the wire? the temperature coefficient of resistivity for nichrome is 0.000400



Answer :

The change in temperature of the resistance wire is 500 K.

We need to know about the resistance of conductive material to solve this problem. Resistance can be defined as the ratio of the voltage applied to the current flow It can be written as

R = V / I

where R is resistance, V is voltage and I is current.

From the question above, the given parameters are

I2 = 20% I1

ɑ = 0.0004

Find the final resistance in the same voltage

R2 / R1 = (V2 / I2 )/ (V1 / I1)

R2 / R1 = 0.2 I1 / I1

R2 = 0.2 R1

As we know that the temperature dependence of resistance is

R2 = R1 . ɑ . ΔT

0.2 R1 = R1 . 0.0004 . ΔT

ΔT = 500 K

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