Sketch Voltage, Power & Stored Energy of 3 µF Capacitor

  • Thread starter Thread starter aslak19
  • Start date Start date
  • Tags Tags
    Capacitor Sketch
Click For Summary
SUMMARY

The discussion focuses on analyzing the voltage, power, and stored energy of a 3 µF capacitor given an initial voltage of 10V at time t=0. The correct approach to find the voltage involves using the equation i = C dV/dt, where i is the current through the capacitor. Participants are encouraged to derive the voltage V(t) from the provided current waveform and subsequently calculate the energy E(t) and power P(t) based on the voltage function.

PREREQUISITES
  • Understanding of capacitor fundamentals and the relationship between current, voltage, and capacitance.
  • Familiarity with differential equations and their application in electrical circuits.
  • Knowledge of energy storage in capacitors and the formulas for calculating energy and power.
  • Ability to interpret and plot waveforms in the context of electrical engineering.
NEXT STEPS
  • Learn how to derive voltage from current waveforms using the equation i = C dV/dt.
  • Study the relationship between voltage, energy, and power in capacitors.
  • Explore techniques for plotting electrical waveforms accurately.
  • Investigate the impact of different capacitance values on voltage and energy storage.
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing capacitor behavior in circuits.

aslak19
Messages
2
Reaction score
0
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?
 
Physics news on Phys.org
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).
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
5
Views
2K
Replies
15
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
8
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
9
Views
3K
Replies
0
Views
2K