Figure 1

You have an ideal one farad capacitor that is charged to one volt. You apply a constant power load of one watt across the capacitor at time = 0. Since it is a load, current is only allowed to be positive (out of the capacitor and into the load).

Questions:

1. How long does it take for the voltage across the capacitor to reach zero volts?

2. What is the voltage waveform as a function of time, across the capacitor?

3. What is the current waveform as a function of time, into the load?

4. Where might you encounter a constant-power load in real life? Is there a practical application for this question?

Answer