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Question: The ratio of the resistance of conductor at temperature 15ºC to its resistance at temperature 37.5ºC...

The ratio of the resistance of conductor at temperature 15ºC to its resistance at temperature 37.5ºC is 4 : 5. The temperature coefficient of resistance of the conductor is –

A

l25\frac{l}{25}ºC–1

B

l50\frac{l}{50}ºC–1

C

l80\frac{l}{80}ºC–1

D

l75\frac{l}{75}ºC–1

Answer

l75\frac{l}{75}ºC–1

Explanation

Solution

RT = R0 (1 + a T)

R15R37.5\frac{R_{15}}{R_{37.5}}=R0(1+α×15)R0(1+α×37.5)\frac{R_{0}(1 + \alpha \times 15)}{R_{0}(1 + \alpha \times 37.5)} \45\frac{4}{5}=1+α×151+α×37.5\frac{1 + \alpha \times 15}{1 + \alpha \times 37.5}