A heating element made of tungsten wire is connected to a large battery that has negligible internal resistance. When the heating element reaches $80.0^{\circ} \mathrm{C},$ it consumes electrical energy at a rate of $480 \mathrm{~W}$. What is its power consumption when its temperature is $150.0^{\circ} \mathrm{C} ?$ Assume that the temperature coefficient of resistivity has the value given in Table 25.2 and that it is constant over the temperature range in this problem. In Eq. ( 25.12 ) take $T_{0}$ to be $20.0^{\circ} \mathrm{C}$.
Added by Shelley H.
Step 1
Given that \(R_{T0} = 1.27\) and \(T = 80 - 20 = 60\) (since \(T_0 = 20\)), we can calculate \(R_{80}\): \(R_{80} = 1.27 \times (1 + 0.0045 \times 60) = 1.27 \times 1.27 = 1.6129 \, \Omega\) Show more…
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A heating element made of tungsten wire is connected to a large battery that has negligible internal resistance. When the heating element reaches 80.0$^\circ$C, it consumes electrical energy at a rate of 480 W. What is its power consumption when its temperature is 150.0$^\circ$C? Assume that the temperature coefficient of resistivity has the value given in Table 25.2 and that it is constant over the temperature range in this problem. In Eq. (25.12) take $T_0$ to be 20.0$^\circ$C.
An electric heater has a Nichrome heating element with a resistance of 8.00 Ω at 20°C. When 110V are applied, the electric current heats the nichrome wire to 930°C. What is the operating wattage of this heater? (The temperature coefficient of resistivity of Nichrome is α = 0.0004 °C^-1). Answer in Watts.
Mahendra R.
Cp The heating element of an electric stove consists of a heater wire embedded within an electrically insulating material, which in turn is inside a metal casing. The heater wire has a resistance of 20$\Omega$ at room temperature $\left(23.0^{\circ} \mathrm{C}\right)$ and a temperature coefficient of resistivity $\alpha=2.8 \times 10^{-3}\left(\mathrm{C}^{0}\right)^{-1} .$ The heating element operates from a 120 $\mathrm{-V}$ line. (a) When the heating element is first turned on, what current does it draw and what electrical power does it dissipate? (b) When the heating element has reached an operating temperature of $280^{\circ} \mathrm{C}\left(536^{\circ} \mathrm{F}\right),$ what current does it draw and what electrical power does it dissipate?
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