What is the current flowing through a 52-ohm line with an input power of 1,872 watts?

To determine the current flowing through a 52-ohm line with an input power of 1,872 watts, we can use the formula derived from Ohm's Law and the power equation.

The power ( P ) in a resistive circuit can be expressed as:

[ P = I^2 \times R ]

Where:

• ( P ) is the power in watts (1,872 watts),

• ( I ) is the current in amperes,

• ( R ) is the resistance in ohms (52 ohms).

We need to find ( I ). Rearranging the formula gives:

[ I^2 = \frac{P}{R} ]

Plugging in the values we have:

[ I^2 = \frac{1872}{52} ]

Calculating the right side:

[ I^2 = 36 ]

Now, to find the current ( I ), we take the square root:

[ I = \sqrt{36} = 6 , \text{amps} ]

Therefore, the correct answer is that the current flowing through the line is 6 amps.

This calculation demonstrates the relationship between power, current, and resistance, showcasing how