Resistor Dimensions and Power Dissipation

In this paper a mathematical expression is derived representing the relation between the hot spot temperature and the dimensions of cylindrical axial lead resistors. The validity of the formula is discussed. Practical values for dimensions and material constants have been chosen and for 3000 combinations of these values the maximum temperature has been calculated with a computer. With help of these results the influence of the different parameters on the temperature has been evaluated and interpreted.