Calculate time for capacitor to charge and discharge

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Discussion Overview

The discussion revolves around the calculation of the time required for a capacitor to charge and discharge, focusing on the role of voltage (V) in these calculations and the use of the 5τ approximation. Participants explore the implications of these concepts in the context of capacitor behavior.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions the necessity of voltage (V) in the calculations, suggesting their work may be incorrect if V is not used.
  • Another participant states that it takes an infinite amount of time to fully charge or discharge a capacitor, referencing the nature of the exponential function.
  • Some participants mention the 5τ approximation, indicating it is used to define a practical criterion for "fully" charging or discharging a capacitor, which they suggest corresponds to approximately 99% completion.
  • There is a suggestion that as long as the criterion for "fully" is defined as a percentage of V, voltage may not be necessary for the calculations.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of voltage in the calculations, with some arguing it is essential while others suggest it may not be needed under certain conditions. The discussion remains unresolved regarding the role of V and the interpretation of "fully" charging or discharging a capacitor.

Contextual Notes

There is a lack of consensus on the definitions and assumptions regarding the criteria for "fully" charging or discharging a capacitor, as well as the implications of using the 5τ approximation.

Edy56
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Homework Statement
Is the capacitor C= 10μF in the circuit unpolarized or polarized? When the switch is in position (1), the capacitor is charged, and when it is in position (2), the capacitor is discharged. Determine the time required to fully charge the capacitor and the time required to fully discharge the capacitor. It is known: V= 10 V, R1= 15 kΩ, R2= 56 kΩ, R3= 7 kΩ
Relevant Equations
None
I really don't get this one. Why do I need V? Since I didn't use it, I assume my work Is incorrect.
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Seems like a trick question; are you sure you copied it exactly? It takes an infinite amount of time to "fully" charge or discharge a capacitor (that's the nature of the exponential funtion).

Also, please learn to use LaTeX to post math equations. There is a link to the "LaTeX Guide" below the Edit window. Thank you kindly. :smile:
 
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berkeman said:
Seems like a trick question; are you sure you copied it exactly? It takes an infinite amount of time to "fully" charge or discharge a capacitor (that's the nature of the exponential funtion).

Also, please learn to use LaTeX to post math equations. There is a link to the "LaTeX Guide" below the Edit window. Thank you kindly. :smile:
It looks like they are using the ##5\tau ## approximation.
 
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erobz said:
It looks like they are using the ##5\tau ## approximation.
Ahh, the old ##5\tau## approximation for ##\infty## -- got it. :wink:
 
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You don't need V as long as the criteria for "fully" is a percentage of V, as with the 5τ approximation, which is essentially a 99% done criterion.
 
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DaveE said:
You don't need V as long as the criteria for "fully" is a percentage of V, as with the 5τ approximation, which is essentially a 99% done criterion.
Thank you.
 
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