Sketch Voltage, Power & Stored Energy of 3 µF Capacitor

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To analyze the behavior of a 3 µF capacitor with an initial voltage of 10V, the current waveform is essential for determining voltage over time. The relationship between current, capacitance, and voltage is given by the equation i = C dV/dt, which can be rearranged to find V(t) by integrating the current over time. Once the voltage function V(t) is established, the stored energy E(t) can be calculated using the formula E = 0.5 * C * V^2. Finally, the power P(t) can be derived from the voltage and current relationship. This approach allows for accurate sketches of voltage, power, and stored energy versus time.
aslak19
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Hey everybody, I hope that you can help me with this question:

The current through a 3 µF capacitor is shown in the figur:

http://peecee.dk/?id=70914

At t=0, the voltage is v(0)=10. Sketch the voltage, power, and stored energy to scale versus time.

- I will start to find the voltage. To find the voltage I have to use this formula:

q=c*v

is it tru?
 
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Try using the following equation instead:

i = C dV/dt

You have the i(t) waveform, and you are given V(t=0). How can you manipulate the above equation to get the equation for the voltage V(t)? Plot V(t), then plot E(t), and from that, you can plot the power P(t).
 
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