Temperature Dependent Resistance Calculator

Formula

The formula to calculate the resistance of a conductor at a new temperature is:

\[ R_{\text{new}} = R_{\text{initial}} [1 + \alpha (T_{\text{new}} - T_{\text{initial}})] \]

Where:

\( R_{\text{new}} \) is the resistance at the new temperature
\( R_{\text{initial}} \) is the resistance at the initial temperature
\( \alpha \) is the temperature coefficient of resistance for the material
\( T_{\text{new}} \) is the new temperature
\( T_{\text{initial}} \) is the initial temperature

What is Temperature Dependent Resistance?

Temperature dependent resistance refers to the change in the electrical resistance of a material with changes in temperature. This concept is critical in many fields such as electronics, material science, and engineering, where temperature variations can significantly affect the performance of electrical circuits and devices.

Example Calculation

Let's assume the following values:

Initial Resistance (\(R_1\)): 400 Ω
Initial Temperature (\(T_1\)): 18 °C
New Temperature (\(T_2\)): 80 °C
Material: Copper (\( \alpha = 3.9 \times 10^{-3} \) K\(^{-1}\))

Step 1: Calculate the change in temperature:

\[ \Delta T = T_2 - T_1 = 80 - 18 = 62 \text{ °C} \]

Step 2: Calculate the new resistance:

\[ R_{\text{new}} = 400 [1 + 3.9 \times 10^{-3} \times 62] \approx 496.72 \text{ Ω} \]