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 Author Topic: RC circuit (DC: charge/discharge)  (Read 4757 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
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 « Embed this message on: April 29, 2010, 07:10:04 pm »

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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