Final answer:
To compute the power dissipated by a resistor, you use the formula P = I²R. Without information about the current, we cannot calculate the power for the given resistor values. If the current was provided (20.0 A, as assumed from the reference), the power dissipated for each resistor can be calculated and then rounded to three decimal places.
Step-by-step explanation:
The power dissipated by a resistor RL in an electrical circuit is found using the formula P = I²R, where P is the power in watts, I is the current in amperes, and R is the resistance in ohms. In the given examples, we see calculations of power dissipation for different resistances and currents. To compute the power dissipated for resistances of 1.500 Ω, 2.000 Ω, 4.00 Ω, 6.00 Ω, and 14.00 Ω, we would need to know the current flowing through the resistors, which is not provided in the question; therefore, we cannot calculate the power dissipation without this information.
If the current is the same as provided in the reference example, which is 20.0 A, we can compute the power for each resistance value using the formula:
- For R = 1.500 Ω: P = (20.0 A)² × 1.500 Ω
- For R = 2.000 Ω: P = (20.0 A)² × 2.000 Ω
- For R = 4.00 Ω: P = (20.0 A)² × 4.00 Ω
- For R = 6.00 Ω: P = (20.0 A)² × 6.00 Ω
- For R = 14.00 Ω: P = (20.0 A)² × 14.00 Ω
Note: Calculations will lead to different results for different currents. The power dissipated by each resistor can then be rounded to three decimal places, as requested. Keep in mind that the power calculation depends on the square of the current, so any change in the current will have a significant effect on the power dissipated.