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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: AC source powered RC circuit  (Read 10169 times)
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Fu-Kwun Hwang
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on: March 14, 2011, 09:15:23 pm » posted from:Taipei,T\'ai-pei,Taiwan

This is a simulation of AC powered RC circuit.
It can be used to study phase between voltage of capacitorVR, voltage of resistor VRand 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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* electronic_RC_AC.gif (17.07 KB, 639x314 - viewed 262 times.)

* rc_circuit_serial_r_c_wiring_1.jpg (10.27 KB, 218x139 - viewed 2843 times.)
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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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