Resonance in Parallel RLC Circuit Explained

In this video, you will learn about the Resonance in Parallel RLC circuit.

So, in this video, you will learn the following things for the parallel Resonant circuits.

1) Resonant Condition
When the inductive reactance and parallel reactance is same in the circuit (XL=XC) then voltage and current in the circuit will be in phase. And the impedance of the circuit will be maximum and purely resistive.

2) Resonant frequency:
The Resonant frequency w = 1/(sqrt(LC))

3) Quality Factor:

Quality factor defines the how the circuit is able to select or reject one particular frequency.
The larger the value of this Q-factor, the better will be the selectivity of the circuit.

For parallel RLC circuit, Q= R/Xc =R/XL
So, Q factor is directly proportional to the value of resistance in the circuit.
The larger the value of resistance in the circuit, the better will be the selectivity of the circuit.

4) Bandwidth:

The bandwidth of the circuit is defined as the difference between the 3 dB frequencies.

For Parallel resonant circuit bandwidth can be defined as,
B.W= 1/(RC)
In terms of the Q-factor Bandwidth can be defined as
B.W= w/Q or Q= w/B.W

So, in this video, the equations for this resonant frequency, Quality Factor and bandwidth have also been derived.

So, Parallel Resonant Circuit has following characteristics:

1) The impedance of the circuit is maximum at resonance.

2) The current in the circuit will be minimum at resonance.

3) Parallel Resonant Circuit will act a Band Stop Filter, as it rejects one frequency and passes all other frequencies. And that's why it is also known as Rejector circuit.

4) The circuit will act as Current Magnifier, as the current through inductor and capacitor gets magnified Q times at resonant frequency.

The timestamps for the different topics in the video is given below:

0:42 Resonance condition in Parallel RLC Circuit

3:30 Derivation of resonant frequency for Parallel RLC Circuit

6:30 Understanding the Resonant curve for Parallel RLC Circuit

8:00 Quality Factor of parallel Resonant circuit

11:11 Bandwidth of Parallel Resonant Circuit and its derivation

17: 55 Current Magnification in Parallel Resonant Circuit

18:58 Summary

This video will be helpful to all students of science and engineering in understanding the concept of resonance in parallel RLC circuit.

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