Stefans Law Calculator

This calculator uses Stefans Law (also known as Stefans-Boltzmann Law) to calculate the temperature of a black body based on its radiated power and surface area. Stefans Law states that the total energy radiated per unit surface area of a black body across all wavelengths per unit time is directly proportional to the fourth power of the black body's absolute temperature.

Input Parameters

Calculation Results

Calculation Formula

T = √(P / (σ * A))

Where:
T = Temperature (Kelvin)
P = Radiated Power (Watts)
σ = Stefan-Boltzmann Constant (5.67 × 10⁻⁸ W/m²K⁴)
A = Surface Area (square meters)

Result

Stefans Law Calculator Calculator Usage Guide

Learn how to use the Stefans Law Calculator and understand the principles behind it

What is Stefans Law?

Stefans Law, also known as Stefans-Boltzmann Law, states that the total energy radiated per unit surface area of a black body across all wavelengths per unit time (power per unit area) is directly proportional to the fourth power of the black body's absolute temperature. This law is fundamental in understanding heat transfer through radiation.

How to Use This Calculator

  1. Enter the radiated power (P) in watts.
  2. Enter the surface area (A) in square meters.
  3. Click the "Calculate" button to compute the temperature.
  4. The result will be displayed in Kelvin.

Practical Applications

Stefans Law has numerous applications in physics and engineering:

  • Calculating the temperature of stars and other celestial bodies.
  • Understanding heat transfer in thermal systems.
  • Designing radiators and cooling systems.
  • Analyzing infrared imaging and remote sensing.

Example Calculation

If a black body with a surface area of 2 square meters radiates 1000 watts of power, what is its temperature?

Using the formula T = √(P / (σ * A)):

T = √(1000 / (5.67 × 10⁻⁸ * 2))

T = √(1000 / 1.134 × 10⁻⁷)

T = √8.77 × 10⁷

T ≈ 9373.37 K