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Current Electricity

Question
CBSEENPH12037467
Wired Faculty App

At room temperature (27.0 °C) the resistance of a heating element is 100 Ω. What is the temperature of the element if the resistance is found to be 117 Ω, given that the temperature co-efficient of the material of the resistor is 1.70 x 10–4 °C–1.

Solution

Given,
Resistance of the element, R = 117 Ω  
Resistance of heating element at room temperature, RT = 100 Ω
Temperature coeffient of the material of resistor, α= 1.70 x 10–4 °C–1

Now, using the relation

                   R = RT 1+α (t-27)
we get,
                117 = 100 [1+1.70 × 10-4 (t-27)]  t     = 1000+27 = 1027°C 
is the required temperature of the element.

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