The temperature coefficient for a certain [latex] 10 k \Omega [/latex] resistor is 500 ppm at [latex] 20^{\circ} C [/latex] . Construct a graph showing resistance versus temperature T for [latex] 20^{\circ} C \leq T \leq 200^{\circ} C [/latex] , expressed as a percent of the nominal resistance.

The resistance as a function of temperature is given by [latex] R=R_0\left[1+\alpha\left(T-T_0\right)\right], [/latex] where [latex] \begin{aligned} &R_0=10 k \Omega ; \quad \alpha=500 \times 10^{-6}\left({ }^{\circ} C \right)^{-1} ; \\\\ &T_0=20^{\circ} C . \end{aligned} [/latex] The percent variation of resistance with temperature is given by [latex] \frac{100\left(R-R_0\right)}{R_0}=100 \alpha\left(T-T_0\right) .[/latex] Figure 12.85 shows a graph of the expression above. For [latex] T=100^{\circ} C [/latex], a temperature reached or exceeded under normal operating conditions in some microelectronic circuits, the resistance is increased by 4% . Even higher temperatures are attained in a few such circuits.

Question 12.50: The temperature coefficient for a certain 10kΩ resistor is ...

Introduction to Circuit Analysis and Design

The temperature coefficient for a certain $10 k \Omega$ resistor is 500 ppm at $20^{\circ} C$ . Construct a graph showing resistance versus temperature T for $20^{\circ} C \leq T \leq 200^{\circ} C$ , expressed as a percent of the nominal resistance.

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The resistance as a function of temperature is given by

$R=R_0\left[1+\alpha\left(T-T_0\right)\right],$

where

$\begin{aligned} &R_0=10 k \Omega ; \quad \alpha=500 \times 10^{-6}\left({ }^{\circ} C \right)^{-1} ; \\\\ &T_0=20^{\circ} C . \end{aligned}$

The percent variation of resistance with temperature is given by

$\frac{100\left(R-R_0\right)}{R_0}=100 \alpha\left(T-T_0\right) .$

Figure 12.85 shows a graph of the expression above. For $T=100^{\circ} C$ , a temperature reached or exceeded under normal operating conditions in some microelectronic circuits, the resistance is increased by 4% . Even higher temperatures are attained in a few such circuits.