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A heating element using nichrome connect...

A heating element using nichrome connected to a 230 V supply draws an initial current of 3.2A which settles after a few seconds to a steady value of 2.8A. What is the stready temperature of the heating element if the room temperature is `27^@C`? Temperature coefficient of resistance of nichrome averages over the temperature range involved is `1.70times10^(-4^@)C^-1`.

Text Solution

Verified by Experts

The temperature coefficient of resistance is given by
`a=(R_2-R_1)/(R_1(t_2-t_1))`
`thereforet_2-t_1=(R_2-R_1)/(R_1a)=(230/2.8-230/3.2)/(230/3.2times1.7times10^-4)=840`
`thereforet_2=(840+27)^@C=867^@C`
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