Temperature, Resistivity Calculator

The Formula

The formula for calculating the change in resistivity with temperature is:

\[ρ = ρ₀ * (1 + α * ΔT)\]

Where:

• ρ: Final resistivity (Ω·m)
• ρ₀: Initial resistivity (Ω·m)
• α: Temperature coefficient of resistivity (1/°C)
• ΔT: Change in temperature (°C)

Calculation Steps

1. Identify the initial resistivity (ρ₀), temperature coefficient (α), and temperature change (ΔT)
2. Insert these values into the formula
3. Perform the calculation to get the final resistivity

Example Calculation

Let's calculate the final resistivity for copper with an initial resistivity of 1.68 × 10⁻⁸ Ω·m, a temperature coefficient of 0.0039 1/°C, and a temperature increase of 100°C:

\[ρ = 1.68 × 10⁻⁸ * (1 + 0.0039 * 100) = 2.3352 × 10⁻⁸ Ω·m\]

Visual Representation

This visual represents the linear relationship between temperature and resistivity. The initial resistivity (ρ₀) is at the lower left, and the final resistivity (ρ) is at the upper right after the temperature increase.