What is the power consumed in R2 with a voltage of 120 volts, R1 of 6, and R2 of 10?

To determine the power consumed in resistor R2 with a given voltage and resistance values, you can use the power formula:

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

In this case, the voltage across R2 is 120 volts, and R2 has a resistance of 10 ohms. By applying the formula:

[ P = \frac{120^2}{10} = \frac{14400}{10} = 1440 \text{ watts} ]

This calculation shows that the power consumed in R2 is indeed 1440 watts. The reasoning behind using the square of the voltage divided by the resistance is rooted in Ohm's law (V = IR) and the definition of electrical power, indicating how much energy is being used by the resistor. Thus, given the voltage and resistance, the calculation results in the correct power consumption of R2 being 1440 watts.