RC Series Circuit: Calculate Voltages and Current

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In this example I go through the calculations for voltages and current in a AC circuit with resistor and capacitor in series.

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Very elegant. Thank you for the extra material as well.

xbrlinfinity
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Thank you for your great educational lessons

I have question please : i am confused how we can write : Vs=Vr+Vc knowing that the capacitor "gradualy" raise its voltage and doesnt respond instantaneously with the voltage source !, why we are ignoring this fact and treating capacitor as if it is a resistor ?

Thank you in advance

mohfa