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Question

A wire has a resistance of 3 Ω at 40C and resistance of 5 Ω at 100C. The temperature coefficient of resistance of the wire is

A
0.0012C1
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B
0.0222C1
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C
0.0024C1
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D
0.0111C1
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Solution

The correct option is D 0.0111C1
According to formula for temperature dependence resistance Rt=R0(1+αΔt)
Here, Rt is the resistance at given temperature = 5 Ω
R0 is the resistance at reference temperature = 3 Ω
Δt is change in temperature i.e.=10040=60C
and α is temperature coefficient
Now above equation will become,
5=3(1+α60)
α=0.0111C1


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