Question

A power of 150 W is delivered to a certain resistor when the applied voltage is 120 V.

Find the resistance.
Express your answer to three significant figures and include the appropriate units.

Answer 1

To find the resistance, use the formula R = V^2 / P. Plugging in the given values, the resistance is 96 Ω.

Step-by-step explanation:

To find the resistance, we can use the formula for power: P = V^2 / R. Rearranging the formula, we have R = V^2 / P. Plugging in the values given in the question: voltage (V) = 120 V and power (P) = 150 W, we can calculate the resistance:

1. Convert power to watts: 150 W
2. Calculate the resistance: R = (120 V)^2 / 150 W
3. Perform the calculation: R = 96 Ω

Substituting the given values into the equation, we calculate the resistance to be R = 120^2 / 150, which equals 96 ohms. Thus, the resistance of the resistor is 96 ohms, and this is the answer to three significant figures.
Therefore, the resistance is 96 Ω.