At room temperature $\left(27^{\circ} \mathrm{C}\right)$, the resistance of a heating element is $10

Question

At room temperature $\left(27^{\circ} \mathrm{C}ight)$, the resistance of a heating element is $100 \Omega$. At temperature $T^{\circ} \mathrm{C}$, the resistance is found to be $117 \Omega$. Given that temperature coefficient of the resistor material is $1.7 	imes 10^{-4} /{ }^{\circ} \mathrm{C}$, then the temperature $T$ is

Professor PC Thomas Classes · Answer

$R_T = R_0(1+\alpha \Delta T) \Rightarrow 117 = 100(1+1.7 	imes 10^{-4}(T-27)) \Rightarrow T = 1027^{\circ}\mathrm{C}$.