What is the calculated power loss for a power transmission line with a current of 100 amps and a conductor resistance of 12 ohms?

To determine the power loss in a power transmission line, we use the formula for power loss, which is derived from Ohm's Law and the power formula. The power loss due to resistance in a conductor can be calculated using the formula:

[ P = I^2 \times R ]

where ( P ) is the power loss in watts, ( I ) is the current in amperes, and ( R ) is the resistance in ohms.

In this scenario, we have:

• Current ( I = 100 ) amps

• Resistance ( R = 12 ) ohms

Plugging in the values:

[ P = (100 , \text{amps})^2 \times 12 , \text{ohms} ]

Calculating further:

[ P = 10000 \times 12 = 120000 , \text{watts} ]

This indicates that the calculated power loss for the power transmission line is 120,000 watts. Understanding this calculation is essential for assessing energy loss in electrical systems, where higher current and resistance result in greater power losses.

The other options do not align with the results derived from the power loss formula, highlighting the significant impact