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An interaction between two opposites produces a unique outcome. ..."Jules Henri Poincare(1854-1912, One of France's greatest mathematicians)"
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Author Topic: RC circuit (DC: charge/discharge)  (Read 4643 times)
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ahmedelshfie
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on: April 29, 2010, 07:10:04 pm » posted from:,,Brazil

This applet is Rc circuit (DC: charge/discharge)
Created by prof Hwang
Modified by Ahmed
Original project RC circuit (DC: charge/discharge)

For the charging cycle:V_s=V_R+V_C=I R + \int \frac{I dt}{C} where Vs is the voltage from the power supply.
0=R \frac{dI}{dt}+ \frac{I}{C}, \frac{dI}{dt}=-\frac{I}{RC}, so the solution is I(t)=I_0 e^{-t/(RC)}
at t=0, V_c=0 so I(t=0)=I_0=V_s/R
The result is V_R(t)=I(t) R =V_s e^{-t/(RC)}, V_c(t)=V_s-V_R(t)= V_s (1- e^{-t/(RC)})

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* RC circuit.gif (22.8 KB, 752x450 - viewed 491 times.)
« Last Edit: April 29, 2010, 07:11:49 pm by ahmedelshfie » Logged
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An interaction between two opposites produces a unique outcome. ..."Jules Henri Poincare(1854-1912, One of France's greatest mathematicians)"
 
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