What can a load current of 25 amps through a 6.4 ohm resistance produce?

To determine the power produced by a load current running through a resistance, the formula used is Power (P) = Current (I)² × Resistance (R). In this case, the current is 25 amps and the resistance is 6.4 ohms.

Calculating this:

1. First, square the current:

( I² = 25² = 625 ) amps².

2. Next, multiply this value by the resistance:

( P = 625 \times 6.4 = 4000 ) watts.

This calculation shows that a load current of 25 amps through a 6.4 ohm resistance produces 4000 watts of power, confirming that the correct answer is indeed the option that identifies this wattage. Understanding this fundamental relationship between current, resistance, and power is crucial in electrical work, as it allows lineman apprentices to accurately assess and manage electrical loads in real-world applications.