What is the current of a circuit consuming 625 watts through a 12.75-ohm resistor?

To determine the current flowing through a circuit that consumes 625 watts with a resistance of 12.75 ohms, you can use Ohm's Law and the power formula. The power formula states that power (P) is equal to the current (I) squared multiplied by the resistance (R), which can be expressed as:

[ P = I^2 \times R ]

You can rearrange this to find the current:

[ I = \sqrt{\frac{P}{R}} ]

Now substitute the given values into the formula.

Given:

• Power (P) = 625 watts

• Resistance (R) = 12.75 ohms

Plugging these values in:

[ I = \sqrt{\frac{625}{12.75}} ]

Calculate:

1. First, divide 625 by 12.75, which gives approximately 49.02.

2. Next, take the square root of 49.02, which is approximately 7.00.

Thus, the calculated current is around 7 amperes, making this the correct answer. This method effectively utilizes the relationship between power, current, and resistance to arrive at the answer, showing how each component interrelates in an