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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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A heating element using nichrome connected to a 230V supply draws an inital current of 3.2A which settles after a few seconds to a steady value of 2.8A. What is the steady temperature of the heating eleipent if the room temperature is 27.0^@C ? Temperature coefficient of resistivity of nichrome averaged over the temperature range involved is 1.70xx l0^(-4)//C^@ .

An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it, its resistance at room temperature (27.0^@C is found to be 75.3Omega When the toaster is connected to a 230V supply, the current settles, after.a few seconds, to a steady value of 2.68A. What is the steady temperature of the nichrome element ? The temperature coefficient of resistance averaged over the temperature range involved, is 1.70xx10^(-4)//C^@

Knowledge Check

  • A coffee cup calorimeter initially contains 125g of water at a temperature of 24.2^@C . After adding 10.59 of KBr, the temperature becomes 21.1^@C . The heat of solution is

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