(a) the total energy (E) emitted by a black body per unit area per second is proportional to the fourth power of the absolute temperature (T) of the body.

This is known as the Stefan-Boltzmann Law.

where s is a constant known as the

(b) if the temperature of the body's surroundings are at a temperature T

(c) for a body of surface area A the net loss of energy per second will be:

(d) the nature of the surface is allowed for by a quantity known as the emissivity (e) - for a black body this is equal to 1 and for all other surfaces it is <<1. The equation for the net loss of energy per second now becomes:

It is important to realise the difference between this equation and Newton's law of cooling. Stefan's law applies to the loss of energy by radiation while Newton's law applies to loss of energy by convection. Both laws are found to hold for temperature differences of hundreds of degrees.