The Joule-Lenz law, also known as
Joule's law of heating, describes how electrical energy is converted into heat energy when current flows through a conductor. It states that the amount of heat produced by an electrical current is directly proportional to:
- The square of the current (I²),
- The resistance (R) of the conductor, and
- The time (t) for which the current flows.
Mathematically, the law can be written as:
\[
Q = I^2 R t
\]
Where:
- \(Q\) is the heat energy produced (in joules),
- \(I\) is the current (in amperes),
- \(R\) is the resistance of the conductor (in ohms),
- \(t\) is the time (in seconds).
What this means:
- If the current increases, the heat produced will increase much more because of the \(I^2\) term (current squared).
- The higher the resistance of the material, the more heat is produced for the same current.
- The longer the current flows, the more heat is generated.
This law is important in practical applications, such as in the design of electrical circuits and devices, where excess heat can affect performance and safety. For example, in electrical appliances like heaters or light bulbs, Joule's law explains how electrical energy is converted to heat or light.