An electrical appliance rated at 1,500 watts connected to 120 volts has what resistance?

An electrical appliance rated at 1,500 watts connected to 120 volts has what resistance?

• A. 6.0 ohms
• B. 8.0 ohms
• C. 9.6 ohms
• D. 12.0 ohms

Answer: (C)

To determine the resistance of an electrical appliance, you can use Ohm's Law and the power formula. The power \( P \) consumed by an appliance can be represented by the equation: \[ P = V^2 / R \] where: - \( P \) is the power in watts, - \( V \) is the voltage in volts, - \( R \) is the resistance in ohms. In this scenario, the appliance is rated at 1,500 watts and connected to a voltage of 120 volts. Rearranging the formula to solve for resistance gives: \[ R = V^2 / P \] Substituting the known values: \[ R = 120^2 / 1500 \] \[ R = 14400 / 1500 \] \[ R = 9.6 \, \text{ohms} \] Therefore, the resistance of the appliance is 9.6 ohms. This calculation confirms that the correct answer is based on the proper application of the formula. Understanding how to manipulate the power, voltage, and resistance relationship is crucial for solving similar problems in electrical contexts.

To determine the resistance of an electrical appliance, you can use Ohm's Law and the power formula. The power ( P ) consumed by an appliance can be represented by the equation:

[ P = V^2 / R ]

where:

• ( P ) is the power in watts,

• ( V ) is the voltage in volts,

• ( R ) is the resistance in ohms.

In this scenario, the appliance is rated at 1,500 watts and connected to a voltage of 120 volts. Rearranging the formula to solve for resistance gives:

[ R = V^2 / P ]

Substituting the known values:

[ R = 120^2 / 1500 ]

[ R = 14400 / 1500 ]

[ R = 9.6 , \text{ohms} ]

Therefore, the resistance of the appliance is 9.6 ohms. This calculation confirms that the correct answer is based on the proper application of the formula. Understanding how to manipulate the power, voltage, and resistance relationship is crucial for solving similar problems in electrical contexts.