This tool calculates the radiant heat energy emitted by a black body based on its temperature.

## How to Use the Stefan-Boltzmann Law Calculator

The Stefan-Boltzmann Law calculator helps you calculate the radiant heat energy emitted by a black body in thermal equilibrium. To use this calculator:

- Enter the temperature of the black body in Kelvin.
- Enter the emissivity of the material (a value between 0 and 1, where 1 represents a perfect black body).
- Enter the surface area of the black body in square meters.
- Click “Calculate” to see the result in Watts per square meter (W/m²).

## Explanation of Stefan-Boltzmann Law

The Stefan-Boltzmann Law states that the total energy radiated per unit surface area of a black body is directly proportional to the fourth power of the black body’s absolute temperature (in Kelvin). The formula is given by:

**E = σ * ε * T⁴ * A**

where:

**E**is the total energy radiated per unit surface area (W/m²).**σ**(Stefan-Boltzmann constant) = 5.67 × 10⁻⁸ W/m²K⁴.**ε**is the emissivity of the material.**T**is the absolute temperature in Kelvin (K).**A**is the surface area in square meters (m²).

### Limitations

While using this calculator, keep in mind:

- The accuracy of the results depends on the accurate input values of temperature, emissivity, and surface area.
- This calculator assumes that the body is in thermal equilibrium, and that other forms of heat transfer (conduction and convection) are negligible.
- The emissivity value should be between 0 and 1 for realistic results.

## Use Cases for This Calculator

### Calculate Total Radiant Energy Emitted

Enter the temperature of the object to find out the total radiant energy emitted using Stefan-Boltzmann Law. This calculation helps in determining the amount of energy emitted by an object based on its temperature.

### Calculate Temperature of an Object

Specify the total radiant energy emitted by an object to calculate its temperature using Stefan-Boltzmann Law. This feature can be useful in determining the temperature of an object based on the energy it radiates.

### Calculate Power Radiated

Input the temperature and surface area of the object to find out the power radiated using Stefan-Boltzmann Law. This computation can help in understanding the rate at which energy is emitted by an object.

### Calculate Surface Area Required for Specific Power

Provide the power output and temperature to determine the surface area required for specific power output based on Stefan-Boltzmann Law. This calculation can assist in designing systems to meet specific power requirements.

### Calculate Temperature Increase Due to Energy Absorption

Enter the energy absorbed by an object to calculate the increase in temperature using Stefan-Boltzmann Law. This calculation can provide insights into the temperature rise resulting from absorbed energy.

### Calculate Minimum Temperature to Radiate Specific Power

Specify the power output required and surface area to determine the minimum temperature needed to radiate that power based on Stefan-Boltzmann Law. This feature can help in setting temperature targets for radiative power emission.

### Calculate Radiative Heat Transfer Between Two Objects

Input the temperatures and surface areas of two objects to calculate the radiative heat transfer between them using Stefan-Boltzmann Law. This computation can aid in analyzing heat exchange between objects through radiation.

### Calculate Power Density at a Distance

Provide the power output and distance from the object to calculate power density using Stefan-Boltzmann Law. This feature helps in determining the power distribution at various distances from the radiating object.

### Calculate Surface Temperature of an Absorbing Object

Input the energy absorbed and surface area of the object to calculate its surface temperature based on Stefan-Boltzmann Law. This calculation can help in understanding the temperature of an object that absorbs a certain amount of energy.

### Calculate Energy Required to Reach a Specific Temperature

Specify the initial and desired temperatures of an object to calculate the energy required to reach the desired temperature using Stefan-Boltzmann Law. This calculation can assist in understanding the energy needed for thermal conditioning of objects.