Hobby Electronics Basics physical/intuitive understanding of RL/RC time constants?

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Subject Author Date
physical/intuitive understanding of RL/RC time constants? Alan Horowitz 10-11-04
Posted by Alan Horowitz on October 11, 2004, 7:11 pm
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when a current just starts flowing into a RL or RC circuit, how does
the voltage "know" that it should be increasing exactly 63% during
each time-constant period?

And whence the number 63%?


Posted by Uncle Al on October 11, 2004, 7:18 pm
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Alan Horowitz wrote:
>
> when a current just starts flowing into a RL or RC circuit, how does
> the voltage "know" that it should be increasing exactly 63% during
> each time-constant period?
>
> And whence the number 63%?

1-(1/e). Crack your textbook.

<http://www.iop.org/EJ/S/UNREG/aS0aOQcupwxj4CNeiM5vaQ/article/-featured=jnl/0143-0807/23/1/304/ej2104.pdf>
"Demonstration of the exponential decay law using beer froth"

Google
"exponential decay" 63 20,500 hits

Uncle Al gotta think of everything.

--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz.pdf


Posted by Richard Clark on October 12, 2004, 4:02 am
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wrote:

><http://www.iop.org/EJ/S/UNREG/aS0aOQcupwxj4CNeiM5vaQ/article/-featured=jnl/0143-0807/23/1/304/ej2104.pdf>
> "Demonstration of the exponential decay law using beer froth"

Hi Al,

Good link. Here is one that is Tau intensive from my own work:
http://www.cybernalysis.com/tau/index.htm

73's
Richard Clark, KB7QHC


Posted by John Popelish on October 12, 2004, 12:11 am
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Alan Horowitz wrote:
>
> when a current just starts flowing into a RL or RC circuit, how does
> the voltage "know" that it should be increasing exactly 63% during
> each time-constant period?
>
> And whence the number 63%?

This all goes back to the solution of the differential equation for
the RC or RL system. e is a natural constant that has some very sweet
properties in many applications of mathematics, and simplifying
differential equations is one of them. Read through this tutorial and
see how the rate constant k in this tutorial is an example of a time
constant.
http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/diffeqs/intro.html
--
John Popelish


Posted by John T Lowry on October 12, 2004, 2:24 am
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> when a current just starts flowing into a RL or RC circuit, how does
> the voltage "know" that it should be increasing exactly 63% during
> each time-constant period?

Definition of time-constant period.

John Lowry
Flight Physics

>
> And whence the number 63%?




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