How does a capacitor act as a phase shifter for AC voltage in an RC circuit?

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A capacitor in an RC circuit acts as a phase shifter for AC voltage by causing the current to lag behind the voltage. As the capacitor charges, the current decreases when the voltage increases, leading to an offset between the two. This results in the current being out of phase with the voltage, which is a key characteristic of capacitive circuits. The relationship can be quantified using the formula provided in the linked Wikipedia article, which includes resistance, capacitance, and frequency. Understanding this behavior is essential for applications involving AC circuits and phase relationships.
FRANCLI
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hi ..
I want a full explanation about using the capacitor as phase shifter for AC voltage as I don't know any thing about this application of the capacitor.
pleasssssssssssssssse help me .
&
thanks in advance...
 
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With a capacitor its charge builds faster with higher voltage, and as charge builds the circuit's current decreases, so as the voltage increases the current decreases, then as the voltage decreases vise versa happens so now the voltage and current are offset. The original currents was in-phase with the voltage so when the current gets out of phase with the voltage the two currents are now out of phase.
 
http://en.wikipedia.org/wiki/RC_circuit

Wikipedia has the formula for phase shift half way down.

R = Resistance
C = Capicatance
w = Frequency.
 

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