The power loss in a conductor due to its resistance can be calculated using which formula?

The power loss in a conductor due to its resistance is accurately calculated using the formula ( P = I^2R ). This equation highlights that the power loss (P), which is typically expressed in watts, is directly related to the square of the current (I) flowing through the conductor and the resistance (R) of that conductor.

This relationship emphasizes that as the current increases, the power loss in the form of heat also increases significantly, since it is proportional to the square of the current. This concept is fundamental in electrical engineering and is critical for understanding how resistive losses occur in electrical circuits, especially in applications where high currents flow through conductors, such as in power transmission.

The other formulas listed, while they are valid in different contexts, do not specifically represent power loss due to resistance in a conductor. For example, ( P = IV ) indicates power associated with a device operating at a specific current and voltage, but does not account for resistance directly. Similarly, ( P = V^2/R ) relates power to voltage and resistance but is derived under different conditions. Lastly, ( P = IR^2 ) is not a standard formula in electrical theory and does not apply. Understanding the specific role and context of each