When 17.32 volts are applied across a resistance of 50 ohms, how much power is expended in the resistor?

To determine the power expended in a resistor when a voltage is applied, you can use the formula derived from Ohm's Law and the power formula:

Power (P) can be calculated using the formula: [ P = \frac{V^2}{R} ]

In this case, the voltage (V) is 17.32 volts and the resistance (R) is 50 ohms. Plugging these values into the formula gives:

[ P = \frac{(17.32)^2}{50} ]

Calculating the square of 17.32 results in approximately 300.9024. Dividing this by 50 yields:

[ P \approx \frac{300.9024}{50} \approx 6.01805 ]

This rounds to approximately 6 Watts. Therefore, the calculation confirms that the power expended in the resistor is approximately 6 Watts.

This method effectively illustrates how to utilize Ohm's Law and the power formula, making it clear how voltage and resistance affect the amount of power consumed. Understanding this principle is crucial for electrical applications, helping clarify how energy conversion occurs within resistive components.