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Title: AC source powered RC circuitPost by: Fu-Kwun Hwang on March 14, 2011, 09:15:23 pm
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 $Vs$. (http://www.phy.ntnu.edu.tw/ntnujava/index.php?action=dlattach;topic=2147.0;attach=4055;image) $V_{AC}=V_C+V_R$, $I(t)=\frac{V_R}{R}=\frac{V_{AC}-V_C}{R}=\frac{V_{AC}-Q/C}{R}$ $V_C(t)=\frac{Q}{C}$ $Q(t)=\int I\, dt$ 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, $V_{AC}=V_o \sin\,(\omega\,t+\phi)$ $V_R=I\,R,\qquad V_C=\frac{Q}{C}=\frac{1}{C}\,\int I dt$ |