Project Overview

In this undergraduate physics experiment I determined the temperature of a tungsten filament from its electrical resistance and empirically confirmed the Stefan–Boltzmann T4 radiation law. Using a NI ELVIS II+ DAQ and LabVIEW data‑logging, I measured current, voltage, and radiant output while sweeping the supply from 1 V to 12 V. A linear fit of P vs T4 yielded a slope within 1 % of the theoretical constant, validating black‑body radiation theory.

Apparatus & Method

Key Findings

Thermal‑Resistance Calibration

Mapped filament resistance to temperature from 296 K to 15 890 K using measured V‑I curves.

P ∝ T4

Linear regression on P vs. T4 gave slope 4.103 ± 0.074 (≈ 1 % error).

Equation Debug

Identified and corrected typographical error in the lab manual’s power expression.

Tools & Software

Sample Data

V (V)  I (A)  P_rad (mV)  R(Ω)  T(K)
1.0    0.96   0.682       1.04  322
5.0    1.94   8.646       2.57  3598
12.0   3.06   35.132      3.92  15 891

Fit:  ln P = 4.103 ln T  –  18.27
R² = 0.997