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

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

• A. 2.0 watts
• B. 6.0 watts
• C. 12.0 watts
• D. 17.32 watts

Answer: (B)

To determine the power expended in the resistor, we can use the formula for electrical power which is derived from Ohm's Law. The power (P) in a resistor can be calculated using the formula: \[ P = \frac{V^2}{R} \] where: - \( P \) is power in watts, - \( V \) is voltage in volts, and - \( R \) is resistance in ohms. In this scenario, you have a voltage of 17.32 volts and a resistance of 50 ohms. Plugging these values into the formula gives: \[ P = \frac{(17.32)^2}{50} \] First, calculate \( (17.32)^2 \): \[ (17.32)^2 = 300.3584 \] Now, take this value and divide by the resistance: \[ P = \frac{300.3584}{50} = 6.007168 \] Rounding this to a reasonable figure, we find that the power expended in the resistor is approximately 6.0 watts. This means that the calculations confirm the choice indicating 6.0 watts as the correct answer. The formula used is grounded in

To determine the power expended in the resistor, we can use the formula for electrical power which is derived from Ohm's Law. The power (P) in a resistor can be calculated using the formula:

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

where:

• ( P ) is power in watts,

• ( V ) is voltage in volts, and

• ( R ) is resistance in ohms.

In this scenario, you have a voltage of 17.32 volts and a resistance of 50 ohms. Plugging these values into the formula gives:

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

First, calculate ( (17.32)^2 ):

[ (17.32)^2 = 300.3584 ]

Now, take this value and divide by the resistance:

[ P = \frac{300.3584}{50} = 6.007168 ]

Rounding this to a reasonable figure, we find that the power expended in the resistor is approximately 6.0 watts.

This means that the calculations confirm the choice indicating 6.0 watts as the correct answer. The formula used is grounded in