Question: 1 / 50

If 17.32 volts are applied across a resistance of 50 ohms, what is the power dissipated in the resistor?

4.5 watts

3.5 watts

6.0 watts

To determine the power dissipated in the resistor, you can use the formula for electrical power, which is given by \( P = \frac{V^2}{R} \), where \( P \) is the power in watts, \( V \) is the voltage in volts, and \( R \) is the resistance in ohms. In this scenario, you are given the voltage \( V = 17.32 \) volts and the resistance \( R = 50 \) ohms. Plugging in these values into the formula: 1. First, square the voltage: \[ V^2 = (17.32)^2 = 300.8624 \] 2. Next, divide this value by the resistance: \[ P = \frac{300.8624}{50} = 6.017248 \] Rounding this to a suitable degree of precision gives the power dissipated in the resistor as approximately 6.0 watts. Therefore, the correct answer is 6.0 watts. This shows how power dissipation in a resistive component can be calculated directly from voltage and resistance, highlighting the fundamental relationship between these electrical parameters.

5.0 watts

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