discuss the series resonant circuit derive an expression for resonant frequency and show a geographical variation between current and angular frequency of applied ac​

Dear Student,

In a series RLC circuit there becomes a frequency point were the inductive reactance of the inductor becomes equal in value to the capacitive reactance of the capacitor. In other words, XL = XC. The point at which this occurs is called the Resonant Frequency point, ( ƒr ) of the circuit, and as we are analysing a series RLC circuit this resonance frequency produces a Series Resonance.

Series RLC Circuit

Firstly, let us define what we already know about series RLC circuits.

Electrical resonance occurs in an AC circuit when the two reactances which are opposite and equal cancel each other out as XL = XC and the point on the graph at which this happens is were the two reactance curves cross each other. In a series resonant circuit, the resonant frequency, ƒr point can be calculated as follows.​
 

 

the graph between the current and the frequency for two resistance are given .at resonant frequency it gives maximum current .

Regards