Which of the following losses is correlated with the square of the current?

The correct choice is linked to the principle that copper loss, or I²R loss, is fundamentally related to the flow of electric current through conductive materials such as wires or coils. The equation for copper loss is expressed as P = I²R, where P represents power loss, I symbolizes the current, and R denotes the resistance of the conductor.

When the current increases, the power loss increases exponentially since it is proportional to the square of the current. This relationship means that even a small raise in current can lead to a significantly larger copper loss. This characteristic makes it a critical factor in assessing efficiency in electrical systems, particularly in motors and transformers where the current can vary greatly.

The other types of losses do not share this squared relationship with current. Eddy losses are associated with circulating currents induced in conductive materials when they are exposed to a changing magnetic field. Hysteresis loss is related to the magnetic properties of materials during magnetization and demagnetization cycles, while dielectric losses occur in insulating materials when they are subjected to electric fields. Each of these losses involves different phenomena and mechanisms, thus not correlating with the square of the current.