AC source powered RC circuit

[Fu-Kwun Hwang]

This is a simulation of AC powered RC circuit.
It can be used to study phase between voltage of capacitor$VR$, voltage of resistor $VR$and voltage of AC power supply $Vs$.

$V_{AC}=V_C+V_R$,

$I(t)=\frac{V_R}{R}=\frac{V_{AC}-V_C}{R}=\frac{V_{AC}-Q/C}{R}$

$V_C(t)=\frac{Q}{C}$

$Q(t)=\int I\, dt$
The current $I$ and voltage $V_C$ are 90 degree out of phase.

The voltage $V_C$ in capacitor is proportional to charge $Q$,
However, change $Q$ need to be charged by current $I$. ($Q=\int I\,dt$).
So current $I$ is leading charge $Q$ (90 degree earlier).
And voltage in resistor $V_R$ is proportional to current $I$.
Voltage in R ($V_R$)is leading Voltage in capacitor($V_C$)

The following simulation assume, $V_{AC}=V_o \sin\,(\omega\,t+\phi)$


$V_R=I\,R,\qquad V_C=\frac{Q}{C}=\frac{1}{C}\,\int I dt$

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<applet code='users.ntnu.fkh.electronic_RC_AC_pkg.electronic_RC_ACApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/2/ejs_electronic_RC_AC.jar' name='electronic_RC_AC7965' id='electronic_RC_AC7965' width='760' height='402' mayscript=true><param name='draggable' value='true'></applet>
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<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=7965' target='smfejs'>Run simulation</a>

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