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Capacitor current to voltage equition

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Scholar
Karma Points: 227
Respect (95%):
Date Posted: 7/17/2008 5:55:38 PM  Status: Closed
Capacitor current to voltage equition
Course Textbook Chapter Problem
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Question Details:
 

A capacitor of capacitance of 10-2 F has a current i(t) = 10-e-t.

Find an expression for the voltage across the capacitor.

The answer is:  100(10t + e-t) + c
 
I am looking for a step-by-step instruction of the procedure to arrive at the answer.
Your help is appreciated.
Inquire.
Bonus Point Alert! Earn +4 additional karma points for helping this annual member.

Answers:

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Oracle
Karma Points: 13,374
Date Posted: 7/17/2008 8:40:46 PM  Status: Live
Asker's Rating: Helpful   
Response:
since
 
 
 
intergrate both side:
 
     (c is constant)
    
     =
Inquire's Comment:
Thank you for your help.

Don't forget give me good rating  to show your respect for my time to help you!


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Scholar
Karma Points: 227
Date Posted: 7/18/2008 3:39:23 PM  Status: Live
Asker's Rating: N/A-Posted by Person Asking Question   
Response:
Oracle.....
I do appreciate your time and effort on my behalf.
The one point that I need a simple explanation on is:
 
The d-t is what I don't understand how the -t came about.
 
Inquire.

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Oracle
Karma Points: 9,385
Date Posted: 7/18/2008 10:12:52 PM  Status: Live
Asker's Rating: Helpful   
Response:
 
 
It is
 
 
 
 
Inquire's Comment:
I appreciate your help. It shed some light.



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