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Grade 12Algebra

The resistance of a bulb filament is 100 ? at a temperature of 100°C. If its temperature coefficient of resistance be 0.005 per °C, its resistance will become 200 ? at a temperature of ?

sudhanshu

12 Years agoGrade 12

2 Answers

SHAIK AASIF AHAMED

12 Years ago

Hello student,

From the given data when applied to the formula R0=R(1+alpha∆t) we get

200 = 100[1 +(0.005 × ∆t)]
T− 100 = 200
T = 300° C

Thanks and Regards

Shaik Aasif

askIITians faculty

Ketan Prakash

7 Years ago

When variation in temperature is more then,

R¹=R(1+alpha Δt) can not be used we have to use R¹=R e ^(alphaΔt)

Because we can not Neglect any effect on changing hind temperature.

R¹/R= e^(alpha Δt)

ln(R¹/R)=alpha Δt

Hence the correct answer is 240 degree celsius.

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