This applet is [b]Rc circuit (DC: charge/discharge)[/b]
Created by prof Hwang
Modified by Ahmed
Original project [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=313.msg1009#msg1009]RC circuit (DC: charge/discharge)[/url]

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.
math_failure (math_unknown_error): 0=R \frac{dI}{dt}+ \frac{I}{C}, &nbsp;\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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