Calculating Joules from Capacitance: Answers & Tips

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    Capacitance
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Discussion Overview

The discussion revolves around calculating the energy stored in capacitors, specifically focusing on the application of the formula for energy in capacitors and the implications of connecting capacitors in parallel with differing voltage ratings. Participants explore the calculations involved and clarify concepts related to capacitance and voltage ratings.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions their calculation of energy stored in capacitors, stating they obtained 28.08 joules while another source claims 5600 joules for the same setup.
  • Another participant confirms that 5600 joules appears to be correct and provides the formula for energy as \( E = \frac{1}{2} CV^2 \), clarifying that C represents capacitance.
  • A participant seeks clarification on whether C in the energy formula refers to coulombs or capacitance, receiving confirmation that it refers to capacitance.
  • Concerns are raised about connecting capacitors with different voltage ratings in parallel, emphasizing that the applied voltage must not exceed the lowest voltage rating among the capacitors to avoid damage.
  • Another participant elaborates that the voltage rating indicates the maximum voltage a capacitor can withstand, noting the importance of using capacitors rated for higher voltages in circuits where lower-rated capacitors are present.

Areas of Agreement / Disagreement

Participants generally agree on the formula for calculating energy stored in capacitors and the importance of voltage ratings, but there is uncertainty regarding the initial energy calculation and the implications of connecting capacitors with different voltage ratings.

Contextual Notes

Participants express uncertainty about the correct application of the energy formula and the implications of using capacitors with different voltage ratings in parallel configurations. There is also a lack of consensus on the correct energy calculation in the initial example.

RED119
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So I read a page where someone said they had put 18 400v 3900uF capacitors in parallel and that this came out to 5600 joules... Now I'm sure I am doing something wrong but when I did it out I only got 28.08 joules...
I used this website: http://www.rapidtables.com/calc/electric/Volt_to_Joule_Calculator.htm
plugged 400 in for volts and 0.0702 in for coulombs, if someone can let me know what I am doing wrong here please let me know.

Second little question, i know if you put capacitors in parallel you just add the Farads, but if they all have different volts, say one has 20v 3000F, the other has 400v 90uF, what would that end up being in parallel?
 
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5600 J looks like the correct answer. Use: energy = CV2/2.

If you put the capacitors in parallel, by definition they will all assume a single voltage across all connected capacitors. The parallel capacitance is independent of the voltage.
[edit] Sorry--if you mean what is the resulting voltage, you have to do a charge analysis.
 
Last edited:
Thanks so much for the reply, is the C in that equation coulombs or capacitance?
 
Welcome. C is capacitance. 'q' is usually represents the charge.
 
hi ya'welcome to PF :)

RED119 said:
Second little question, i know if you put capacitors in parallel you just add the Farads, but if they all have different volts, say one has 20v 3000F, the other has 400v 90uF, what would that end up being in parallel?

just remember tho, you cannot mix voltage values ... that is, the applied voltage to the capacitors must not exceed the lowest rated capacitor voltage value

eg. as in your example of a 20V and a 400V cap, the circuit voltage shouldn't exceed 20V else that lower voltage rated capacitor will fail

but having a 50V, 100V etc rated cap in a 20V circuit isn't a problemDave
 
The voltage rating of a capacitor is the voltage that the capacitor can withstand before being destroyed. At this moment I forget whether that is peak or RMS voltage, but it is general practice to overrate capacitors in a circuit. So if one capacitor in a network of paralleled capacitors is rated 20 volts, you can't apply voltage greater than 20 volts without risking damage to the one rated at 20V.
 

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