Stefans Law Calculator

Stefans Law Calculator can be used to calculate the total energy radiated by a black body at a certain temperature based on Stefan-Boltzmann Law.

Input Parameters

Calculation Results

Calculation Formula

P = σ × A × T⁴

Where:
P = Total energy radiated per unit time (Watts)
σ = Stefan-Boltzmann constant (5.67 × 10⁻⁸ W m⁻² K⁻⁴)
A = Surface area of the black body (m²)
T = Absolute temperature of the black body (Kelvin)

Result

Total Energy Radiated (P):

Stefans Law Calculator Calculator Usage Guide

Learn how to use the Stefans Law Calculator and understand its working principles

What is Stefan's Law?

Stefan's Law, also known as Stefan-Boltzmann Law, states that the total energy radiated per unit surface area of a black body across all wavelengths per unit time (known as the radiant exitance or emissive power) is directly proportional to the fourth power of the black body's absolute temperature T.

How to Use This Calculator

  1. Enter the absolute temperature of the black body in Kelvin (T). Note that absolute temperature starts from absolute zero (-273.15°C).
  2. Enter the surface area of the black body in square meters (A).
  3. Click the "Calculate" button to compute the total energy radiated.
  4. The result will be displayed in Watts (W).

Practical Applications

Stefan's Law has many practical applications including:

  • Calculating the heat loss from buildings
  • Determining the temperature of stars
  • Understanding heat radiation in industrial processes
  • Designing thermal systems and appliances

Example

If a black body with a surface area of 1 square meter is maintained at a temperature of 300 Kelvin, the total energy radiated would be:

P = (5.67 × 10⁻⁸ W m⁻² K⁻⁴) × 1 m² × (300 K)⁴ = 453.6 Watts