Question

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.

          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.

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Added by Kevin T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Vishal Gupta

11/02/2021

Step 1

0$^\circ$C. We can use the equation for the temperature dependence of resistance: \[ R = R_0(1 + \alpha(T - T_0)) \] where R is the resistance at temperature T, R_0 is the resistance at temperature T_0, $\alpha$ is the temperature coefficient of resistivity, and 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.

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