What is the power consumption in a circuit with a voltage input of 120V and an R-Value of 40 ohms?

To determine the power consumption in a circuit, you can use the formula for electrical power, which is given by the equation:

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

where ( P ) is the power in watts, ( V ) is the voltage in volts, and ( R ) is the resistance in ohms.

In this scenario, with a voltage input of 120 volts and a resistance value of 40 ohms, you can substitute the values into the formula:

[ P = \frac{(120)^2}{40} ]

Calculating this step-by-step:

1. Calculate ( 120^2 ), which equals 14400.

2. Divide 14400 by 40, resulting in 360 watts.

Therefore, the power consumption in the circuit is 360 watts, which corresponds to the provided answer.

Understanding this relationship is essential for industrial electricians, as it directly relates to how electrical systems are evaluated and managed. Knowing how to calculate power consumption allows for better design, safety checks, and operational efficiency in electrical systems.