Which of the following involves the most power?

The scenario involving 1000 joules of electrical energy passing through a circuit in 5 seconds represents the highest power consumption among the choices presented. To understand why, it's important to recognize how power is defined: power is the rate at which energy is transferred or converted, measured in watts (W).

Power can be calculated using the formula:

[ \text{Power (P)} = \frac{\text{Energy (E)}}{\text{Time (t)}} ]

where energy is measured in joules and time in seconds.

In option C, we calculate the power as follows:

1. Using the values: ( E = 1000 , \text{J} ) and ( t = 5 , \text{s} ).
2. Plugging in the numbers:

[ P = \frac{1000 , \text{J}}{5 , \text{s}} = 200 , \text{W} ]

This indicates that the circuit is consuming power at a rate of 200 watts, which is quite significant.

In contrast, in option A, working with the exercise bicycle at a rate of 50 watts for one hour represents a consistent, lower power output.