Capacitor Discharge Time Formula Euler

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Homework Help Overview

The discussion revolves around understanding the application of Euler's constant raised to a fractional exponent in the context of capacitor discharge and voltage calculations. Participants are exploring the mathematical reasoning behind the results obtained in their calculations, particularly focusing on the interpretation of the exponential function in this scenario.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand the significance of the fractional exponent in Euler's constant and how it relates to the voltage across a capacitor during discharge. There are questions about the calculations leading to a specific voltage result of 958mV, with some participants expressing confusion about the underlying mathematics.

Discussion Status

The discussion is ongoing, with participants sharing calculations and expressing their understanding of the exponential nature of capacitor charging and discharging. Some have offered to share resources, such as videos, to aid comprehension, while others are seeking clarification on specific mathematical concepts related to the problem.

Contextual Notes

There is a noted lack of sufficient information in some posts, which may hinder the ability to fully verify calculations. Additionally, cultural references and language barriers are present, indicating a diverse participant background that may affect communication and understanding of the mathematical concepts discussed.

NickTesla
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I would like to understand how the Euler constant elevated to fractional exponent gave this result? 958mV someone please!?
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You did not give enough information for us to check everything, but the calculation is correct (I checked it on my old HP calculator).
 
It is because my doubt is the fractional exponent, do not know why has this result!
958mV no final entendeu!? Obrigado!
 
Personal My question is in Euler's constant raised to a fractional exponent!
Why and how ?? I do not know calculate HP, it's good we mastered without having to use HP,

I have a teaching video, but honestly I still do not understand if you want to see the video? I have!
 
Last edited:
Charging of a capacitor is an exponential
event. Voltage across capacitor rises exponentially as
Vc=Vf(1-e-t/T). Time t is in the exponent, hence the part e-t/T is responsible for the exponential increase in voltage w.r.t time.
 
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OK. Let us take it in steps:
  1. [itex]\frac{10}{47}= 0.212765957[/itex]
  2. [itex]e^{-0.212765957}=0.808345302[/itex]
  3. [itex]1- 0.808345302=0.191655[/itex]
  4. [itex]5 \cdot 0.191655 = 0.958273[/itex]
 
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Yes! , I understand, but using numbers,
Watch this video!
 
Svein said:
OK. Let us take it in steps:
  1. [itex]\frac{10}{47}= 0.212765957[/itex]
  2. [itex]e^{-0.212765957}=0.808345302[/itex]
  3. [itex]1- 0.808345302=0.191655[/itex]
  4. [itex]5 \cdot 0.191655 = 0.958273[/itex]
 
https://www.youtube.com/watch?v=JHHikLqJuYk
 
  • #10
Svein said:
OK. Let us take it in steps:
  1. [itex]\frac{10}{47}= 0.212765957[/itex]
  2. [itex]e^{-0.212765957}=0.808345302[/itex]
  3. [itex]1- 0.808345302=0.191655[/itex]
  4. [itex]5 \cdot 0.191655 = 0.958273[/itex]
Sven Wonderfully Thank you!
 
  • #11
NickTesla said:
Sven Wonderfully Thank you!
Obrigado!
 
  • #12
Personally, I'll be honest, here in South America (Brazil) I doubt that the Brazilian has a video explaining speaking Neper calculation on youtube to calculate the potentiation, constant = e ^ -0.212765957,
I doubt (I dúvi [do] D + O = DO = DEODO talking!). Kkk! I doubt DEODO is when we doubt very much! is the Brazilian way of speaking! My God there are only understand potentiation, that's all, and I going crazy, studying (Mantissa) studies (Mantissa) kkkk lol (mathematics: decimal part of a logarithm) !:book::micoscope:
(Matematicas: decimal part of a logarithm)! I wanted the help of North America, if possible help from the American continent LOL kkkk:oldbiggrin::partytime::bow::headbang::headbang::headbang:

only thing i got! and I get it! Was this here!

but not taught 10 ^ 0,3010

how does it do??:headbang::headbang::headbang::oldgrumpy::oldgrumpy::oldgrumpy:
 
Last edited:

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