If a resistor draws 12 amps with a resistance of 10 ohms, how much power is consumed?

If a resistor draws 12 amps with a resistance of 10 ohms, how much power is consumed?

• A. 120 W
• B. 1440 W
• C. 100 W
• D. 1300 W

Answer: (B)

The power consumed by a resistor can be calculated using the formula \( P = I^2 \times R \), where \( P \) is power in watts, \( I \) is the current in amperes, and \( R \) is the resistance in ohms. Given that the resistor draws 12 amps and has a resistance of 10 ohms, we can apply the formula as follows: 1. Square the current: \( I^2 = 12^2 = 144 \). 2. Multiply by the resistance: \( P = 144 \times 10 = 1440 \) watts. Thus, the total power consumed by the resistor is 1440 W. This calculation confirms that the correct answer is indeed 1440 W. Understanding this formula is critical in analyzing circuits, as it illustrates how current and resistance directly affect the power consumed in electrical components.

The power consumed by a resistor can be calculated using the formula ( P = I^2 \times R ), where ( P ) is power in watts, ( I ) is the current in amperes, and ( R ) is the resistance in ohms. Given that the resistor draws 12 amps and has a resistance of 10 ohms, we can apply the formula as follows:

1. Square the current: ( I^2 = 12^2 = 144 ).

2. Multiply by the resistance: ( P = 144 \times 10 = 1440 ) watts.

Thus, the total power consumed by the resistor is 1440 W. This calculation confirms that the correct answer is indeed 1440 W. Understanding this formula is critical in analyzing circuits, as it illustrates how current and resistance directly affect the power consumed in electrical components.