Rearranging Exponential Curve Equation

  • Thread starter mandos
  • Start date
  • #1
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Homework Statement



Hello. I'm afraid it's quite a simple and unexciting problem I have. Basically, I can't remember how to rearrange the equation for an exponential curve:

The capacitor has a capacitance of 0.63 mF and the resistance in the discharge circuit is
2.4 kΩ.

(i) Calculate the time constant of the discharge circuit. This I can do: -t = RC.
(ii) Show that it takes about 3 s to discharge the capacitor from 120 V to 15 V.


Homework Equations



V = Vo e^-t/RC

The Attempt at a Solution



I remember it's the above equation I need to use. And I remember it's to do with the "ln" button on my calculator. But I can't remember how, when or where I use it. I know it's meant to "get rid of" the e and make my -t/RC "un-square" themselves so I can rearrange the equation. Apologies for my terrible lack of physics vocabulary :P.

I've tried a combination of things, enclosing the whole equation in ln( ) but I can't get the right answer (which is 3.14 seconds) as I am not rearranging it properly.

I would appreciate any help anyone has.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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… Show that it takes about 3 s to discharge the capacitor from 120 V to 15 V.

V = Vo e^-t/RC

Hi mandos! :smile:

You're given V and V0, and you want to calculate t.

So just "logify" the whole equation :biggrin:

-t/RC = … ? :wink:
 
  • #3
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Hi, am sorry to be a pain but that makes no sense to me.

In my calculator, I try ln ((V*R*C)/(Vo)) and it gives me -1.66s.
 
  • #4
tiny-tim
Science Advisor
Homework Helper
25,836
251
Hi, am sorry to be a pain but that makes no sense to me.

In my calculator, I try ln ((V*R*C)/(Vo)) and it gives me -1.66s.

But you didn't "logify" …

ln(V) = ln(Vo e-t/RC) :wink:
 

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