Final answer:
Joule's Law of heating is described by the formula H = I^2Rt, which stands for the heat generated being proportional to the square of the current, resistance, and time. A related expression for electrical power is given by Pe = IV.
Step-by-step explanation:
The mathematical expression for Joule's law of heating, which describes the relationship between the heat generated (№) in a resistor with electric current (I) flowing through it, the resistance (R) of the resistor, and time (t), is given as: H = I^2Rt. This equation indicates that the heat produced by an electrical component is directly proportional to the square of the current passing through it, the resistance of the component, and the time for which the current flows.
The formula derived from Joule's law is crucial in understanding how electrical energy is converted to heat energy, particularly in resistive materials. It is essential in various applications, from domestic heating appliances to industrial heating processes. The power (P) version of Joule's law is given by: Pe = IV, where V is the voltage across the component. Both expressions serve as foundational concepts in the study of electrical circuits and heat transfer within them.