Introduction to Electrical Circuit Analysis by Ergul Ozgur;

Author:Ergul, Ozgur;
Language: eng
Format: epub
Publisher: John Wiley & Sons, Incorporated
Published: 2017-04-19T00:00:00+00:00

Example 101

Consider a time-dependent current across a F capacitor given as

Assuming V, find and plot the voltage across the capacitor. In addition, find the power during , as well as the energy stored or released in this time period.

Solution

We have V for . For , we derive

leading to V. Then, for , we have

and V. Moreover, when , we get

and V. Overall, the voltage across the capacitor can be written as

Hence, the current and voltage across the capacitor can be plotted as follows.

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