The total amount of heat produced in a conductor is directly proportional to which factor?

• A. Voltage
• B. Square of current
• C. Current
• D. Resistance

Answer: (B)

The total amount of heat produced in a conductor is primarily associated with the electrical current flowing through it. Specifically, the heat generated can be described by Joule's Law, which states that the heat (or power loss due to resistance) in a conductor is directly proportional to the square of the current (I) multiplied by the resistance (R). The formula can be expressed as H = I²R, where H is the heat generated.

This means that as the current increases, the heat produced increases exponentially, since it is the square of the current that matters. For instance, if the current is doubled, the heat produced is quadrupled. This principle is essential for understanding heat management in electrical systems, where excessive heat can lead to damage or inefficiency.

In contrast, while voltage and resistance are important factors in electrical systems, they do not directly affect the heat produced in the same proportional manner that current does according to Joule's Law. Therefore, focusing on the square of the current as the correct factor highlights the critical relationship between current flow and heat generation in conductors.