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Know About AC through Series Combination of Resistor and Capacitance

A resistor–capacitor circuit (RC circuit), or RC filter or RC network, is an electric circuit composed of resistors and capacitors driven by a voltage or current source. A first order RC circuit is composed of one resistor and one capacitor and is the simplest type of RC circuit.
RC circuits can be used to filter a signal by blocking certain frequencies and passing others. The two most common RC filters are the high-pass filters and low-pass filters; band-pass filters and band-stop filters usually require RLC filters, though crude ones can be made with RC filters.
The total impedance (resistance) of this circuit is the contribution from both the capacitor and resistor. From the previous section we have seen that the capacitative reactance Xc is shifted by - 90° from the perturbing voltage signal and therefore is expressed in complex form as
 Xc = -j Xc
The total circuit impedance is therefore
Z = R - j Xc
In ac analysis both the resistor and capacitor are treated as phasor quantities, so Xc is - 90° out of phase with respect to the resistor. Since Z is a phasor sum the result is presented on a phasor diagram (or complex plane)

 

Phasor diagram for Z

 

 

 

 

 

 

 

 

 

 

 

Magnitude of impedance calculation

 

The magnitude of the impedance - the length of vector can be calculated using the above formulae

This video is related to the Series combination of resistor and capacitor and Mr. Lalit Sardana(IIT-JEE AIR 243) is teaching you, he is one of the renowned lecturers in the field of education and he has been playing a major role in bringing up bright minds into the renowned Indian institutes like IITs and NITs. These videos will be helpful in  qualifying 11th CBSE, 12th CBSE, IIT JEE, AIEEE, MPPET, WBJEE, AIIMS, AFMC, BHU, etc. This page would help you to get the videos related to the topic.http://www.studyadda.com/videos/jee-physics-lectures/alternating-current/a-c-through-series-combination-of-resistor-capacitor/1420

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