Resonance in Parallel RLC Circuit Explained
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- čas přidán 29. 07. 2017
- 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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Very lucid and clear explanation.Thanks
Nice and in ful depth .. I really enjoyed it.. and note down lots of point in my book in between :)
Cleared all my doubts no body explained this topic in so depth thank you very much
Super sir i have doubt on this topic ihave seen so many videos but I can't understand them u made me to understand clearly thanks sir
I found a problem in one of sample paper of jee main about accept or rejector
My teacher said it is out of scope of mains but the way you teach I understood almost everything
Thank you
Indians are like what more formulas should I eat up to get more marks
Great help .... thank you so much sir
Nicely explained. Cheers :)
Beautiful explanation of the resonant frequency of the Parallel RLC Circuit. Thank you
GREAT EXPLANATION SIR .
One of the best channels for electronics students
Very detailed explanation great sir
Awesome explanation 👍👍🙏🙏🙏🙏🙏
Well explanation. So many helpful
Effective explanation!!!!!
Thank you so much for making this great video in English. I have seen very good videos, but in Hindi, which I cannot understand.
Very helpful!..😊😊😊😊😊
Whew! NOW I can understand better!
Teachers should start with the more complex stuff AFTER the fundamentals of a subject.
THANK YOU!
(It was a lot of stuff! My head hurts, but I think it's because Im hungry!)
U are a life saver😭
100%
Thank you very much
Thanku soo much sir
Very nicely explained 👏👏😃
Super! Thanks!
Esi video ki talash thi✌️✌️
BEST VIDEO ON THIS TOPIC. I WANT TO BUY YOU A MEAL
excellent...keep doing
💯 percent valuable video.thank u very much sir
Thank you!!
Thank u so much sir for ur excellent explanation ..... 💐💐💐💐💐💐
Are in college or in 12?
Good content.thank u
Thank u so much sir
nice work
omg, thanks a lot!
Thank you
Thank u so so so much
Subscribed !
thanks sir !
These series for electrical circuit analysis are very useful
vlo laglo vai
If the resonance frequency is to be developed in LC parallel circiut then the DC voltage must be applied during the first quarter of every cycle Rest of the wave form which is 3/4 th of the wave is self generating Thank you for your feed backMukundan
Quite good
Thank u got it
Nailed it...
Where did he nailed it,Is it perfectly stuck now,Or is it shaking,?
nice!!
very nice
at the resonance the impedance should be minimum because xL=xC, and the current is maximum
A
Current is maximum in series rlc Circuit this is parallel rlc Circuit bro🥱
thanks
Superb!!
In the trainer kit, in parallel resonance circuit R is connected in series with L and C( L and C are in parallel). Do we call this configuration and the configuration shown in the video as parallel resonance circuit?
you must cover every topic..what frequency it wil discard low or high ?
Could u please tell me why the Vp curve is upward pointed ... even though the Ip curve is downward point ? Coz according to ohms law Vp and Ip are proportional... so shouldn’t both be of the same shape ?
thank you
:)
Sir but we have anti resonant circuit ,.is this parallel resonance same as anti resonant circuit
Parallel rlc circuit is also termed as anti resonance circuit
while calculating quality factor energy stored in capacitor is used why not energy stored in inductor , and why two of them give different equation. help plz
Please describe for mix circuit
Sir how it became wc-1/wl at 4.45?
Nice one
I think it better to use a current source for the parallel circuit.
I thought in a parallel RLC circuit the equation for resonant frequency w=1/sqrt(LC) drops out and doesnt work? Is this not true then?
Sir, will this come in JEE exam.. Pls answer soo sir.. I have JEE tommorow..... Its not given inmy module but i have seen this somewhere bfore so i came here....did this concept of parallel circuit ever came in JEE? Or its just electrical engg stuff
Sir u said, series RLC circuit is a acceptor circuit because this is accepting frequencies which are around resonant frequency. But this circuit is also rejecting frequencies which are far away from resonant frequency then why can't it be rejector circuit?
The series RLC circuit acts as a bandpass filter. So, it accepts a certain band of frequencies and rejects the remaining ones.
@@ALLABOUTELECTRONICS Thank you sir
at 12.43 how third equation changes into 4th..........!
square cannot be applied on individual item by applying whole under root............?
or i am missing some thing
It's correct try to watch it again
AT 18:16, it was mentioned that Q=R/XL but actually Q=XL/R=XC/R
in seriec RLC circuit Q=XL/R, while in parallel RLC circuit Q= R/XL
You don't know anything
So... the resonant frequency are the same in parallel and series RLC circuit? Okay, I got it (the part XC=XL, then omega^2=1/LC). But I stumbled upon a circuit which R is series to L, then both R and L is parallel to C. When I saw the solution manual, the frequency at resonance is something like omega^2=(1/LC)*(1-(R^2*C/L)). Do you know where the R from (1-(R^2*C/L) come from? All the resources in the internet and your videos I read and watched said that omega^2=1/LC and XC=XL, but no other further info about R at resonance. Did I miss something? :' Btw, awesome explanation 👏
omega^2=1/LC is based on the assumption that coil doesn't have any resistance of its own in parallel RLC.
In series if Xc > XL then the ckt is Capacitive and in Parallel if Xc > XL then it is inductive, why?
If resonance angular frequency is wr
if w < wr so circuit act as capacitive or inductive ? for parallel resonance and serise resonance
In case of the parallel resonant circuit, when w < wr, the circuit is inductive. Watch the video from 6:49 onwards.
In case of a series resonant circuit, when w < wr, the circuit is capacitive.
thanxx
Thanks. Also spelling of Summary is wrong at 19:05 .
what is this software you use to draw circuits and write everything?
Will this come in JEE
Clarification needed!!!!
If we want to listen to all the other frequencies as in listening to songs, why can't we use rejector circuit or band stop filter instead of band pass filter?
1. Current value is less at the resonating frequency of parallel LCR
2. Q factor will be affected
Is law of conservation of current not valid in parallel rlc circuit
what about Power Factor at Resonance RLC parallel circuit ?
At resonance, the power factor will be Unity because at resonance, Xc= -XL.
Sir in case of band width we use frequency f why u use omega w??
w is angular frequency. w= 2*pi*f.
So, w and f can be used interchangeably.
Can you provide pdf of this?
Solving Q with inductor equations..
Q=[w*L*(Irms)^2]/(Irms)^2*R
Cancelling Irms^2 we get
Q=wL/R=XL/R
Correct me if I'm wrong
But by putting C= 1/√(w2L) in Q factor formula Q=wRC, we get Q= R/wL which is opposite to that derived by taking inductor. By taking inductor in place of capacitor Q= wL/R
Xc>XL then the circuit would be Capcitive than inductive and the current lead the voltage ??? If yes. so plz again explain the sec graph of the vidio
if RLC circuit are connected in parallel with a dc voltage source then no of node ?
Apart from the reference node (ground), it has only one node.
What is the application? Please give example.
At 15:49 How you get the value of omega2?
At 14:36, by solving the second equation, you can find w2.
Clarification needed!!!!
Can anyone please tell me @12:41 which formula did he use?
sqrt (a+b)^2 OR {(a+b)(a-b)}
which one?
none of them is matching.
Its the magnitude of the A+ jB . i.e sqrt (A^2 + B^2)
@@ALLABOUTELECTRONICS Thanks a lot.
current maginify ka reason koi explain kar do plz...
I think at resonance condition current is maximum,
so the impedence is minimum..
Crt me if i am wrong..
It's for series RLC circuit, for parallel RLC , impedance is max.
Can you explain how the impedance in parallel RLC circuit is maximum
Is this is in jee mains syllbs
At 12:26 Xc=1/wc and XL=wl why have you substituted in reverse?
As Xc>XL then It should be [ 1/wc - wL ]
Sab reverse hojayega
At 17:53 how omega r is written root c/L
If it’s just parallel L C, does it work the same?
If there is no R, then the circuit is highly selective. Meaning that Q will be very high. Just put R equal to infinity in the Q-factor equation. Ideally Q would be infinite and It will act as an oscillator.
@@ALLABOUTELECTRONICS sir in LC circuit, R is almost zero...(?)
1:44 If there's a resonance, the Z = sqrt (R^2 + (XL - XC)^2)
= sqrt (R^2 + 0), so won't the impedance minimum?
For parallel RC Circuit, the admittance (Y) is [1/R + j(wC -1/wL) ]
And at resonant frequency, wL= 1/wC.
i.e Y is minimum. Hence Z is maximum and due to that current, I will be minimum.
I hope it will clear your doubt.
You don't know anything .. Learn
Explain the term "j"?
what are the variations in the parallel LCR circuit?
Ye jee me aayega bhai?
@@starscream1457 nhi aayega bhai, jha tk mujhe pta h
I love you
why will the impedance be maximum?
Because the
R is constant
At low frequency the capacitor is open and the inductor is short
The inductor will have the lowest reactance this causes a low impedance
At high frequency capacitor will act short circuit and that will provide a lower reactance this also cause low impedance
At resonance both will be equal
So the impedance will be the highest
Can anyone help me with a parallel rlc circuit numerical...???
use of parallel resonance circuit
It is used as an oscillator and for tuning the circuits in radio frequency applications.
ELI the ICE man.. Voltage leads current in an inductive circuit. Current leads the voltage in a capacitive circuit. Purely = 90 degrees.
SARL PARC.. where ELI lives. Series above resonance = inductive. Parallel above resonance = capacitive.
how current lags voltage when Xc>Xl?
This is parallel RLC circuit. So, when Xc>XL, more current flow through the inductor than the capacitor. So, nature of the circuit will be inductive. For inductive circuit voltage leads the current or we can say that current lags the voltage. I hope it will clear your doubt.
ok sir..thankx a lot..bt in series resonance current leads when Xc>Xl..is this correct??
Yes, That is correct. Because in series RLC circuit, when Xc>XL, there will be more voltage drop across capacitor than across the inductor, And circuit will be capacitive in nature. So, current leads the voltage.
Likes for both of you.
i have a problem sir...
What does j means in jomegal
6:54 it should come XL > XC therefore lagging portion . And the way you have written XC > XL it comes in series resonance circuit.
Let me explain it to you intuitively. When Xc > XL, more current will flow through the inductor. So, at low frequencies, in parallel resonance, the circuit is inductive in nature. At high frequencies, XL > Xc. Therefore more current will flow through the capacitor and hence the circuit is capacitive in nature. For series resonance, it is other way around. Because there, the current through all elements is the same. We are measuring the voltage across each element. Therefore at low frequencies when Xc> XL, the circuit is capacitive in nature, and when XL > Xc, it is inductive in nature.
I hope it will help you.
ALL ABOUT ELECTRONICS now for parallel as you said if more current flowing through the inductor it is inductive and same on another side it is capacitive it is because in parallel current is same . Then please elaborate me for series where voltage is same then why we say in case of series that at lower frequency XC>XL i.e capacitive and p.f is leading and for hight frequency XL>XC i.e inductive and p.f is lagging (Now in series here leading means more current should flow from capacitor so according to that XL>XC at lower frequency and for higher frequency lagging means more current should have flown through inductive so XC>XL why it is not like that in series.) Please help me that. Thank you.
In parallel voltage across each element is same while in series current through each element is same.
If W< Wr then circuit is capacitive means current should lead voltage while W>Wr circuit is inductive and current should lag voltage
7.42 correction.
Frequency below the resonant frequency circuit is capacitive.
Above resonant frequency circuit behaves like inductive.
Below resonant frequency, since Xc is greater than XL, so more current flows through inductor. Thats why the circuit is inductive. ( Even though Xc > XL). The reverse happens above resonance. Because above resonance, the XL > Xc. So, for the same voltage, more current will flow through the capacitor ( because of lower reactance). And therefore, the circuit is capacitive.
In case of series resonance, it's totally opposite.
I was stuck at the same problem, but the fact is, XL and Xc are in parallel, take the equivalent of reactance or impedance of these two branches, then compare at different frequencies.
You don't know the concept.. You just mugged up 😂
Sir in my book it is mentioned that parallel LC circuit is rejector circuit not parallel LCR circuit. Is it wrongly written? Because at 3:31 you mentioned parallel LCR to be rejector not parallel LC.
When in the book, they say LC, it is actually the RLC circuit only. Because every inductor has some finite resistance. So, when one connects L in parallel with C, it is L in series with R (internal resistance of L) and that combination is in parallel with C.
That circuit too acts as a rejector.
But its resonance frequency is slightly different from the circuit which is discussed in the video.
I hope it will clear your doubt.
@@ALLABOUTELECTRONICS
thank you sir for your earliest response.
However as you've mentioned at 6:47 that when Xl=Xc, resonant angular frequency is 1/√LC
So even if we take an ideal LC, circuit, for its resonant angular frequency, there also we'll do Xl=Xc which will give 1/√LC.
I couldn't understand why’d you mentioned in the previous reply that there'll be “slight” difference, please clarify?
@@umasrivastava4142 The case which is discussed in the video is when R, L and C are in parallel with each other.
But here, I am talking about the case, where R and L are in series and the combination is in parallel with C.
I hope it will clear your doubt. In this case, wo = sqrt [ 1/LC - (R^2/L^2)]
I hope it will clear your doubt
@@ALLABOUTELECTRONICS yes sir it's perfectly clear now. Thank you so much sir 🙏
What is quality factor only in terms of L and R sir?
For parallel resonant circuit, Q = R / ωL.
I have already mentioned in the description of the video.
why is it that when XL=0 the inductuctive reactance is dominant?
when XL=0, then inductor will act as a short circuit. So, entire current will flow through So, at that time it doesn't matter what is R and XC in the circuit because the entire current is flowing through the inductor. So, in general, at lower frequencies, inductive reactance will be dominant as the majority of the current is flowing through the inductor.
I hope it will clear your doubt.
oh i get it. thanks
and i could see that you have used this formula when calculating I1 for bandwidth. i.e a+jb = (a^2+b^2)^(1/2)
could you please elaborate this?i am stuck here.
tayenjam jeneetaa hello friends
@@tayenjamjeneetaa494 that is root of A Square and Bsquare
Please tell what j denote
If you know the complex number, e.g a+jb, where jb represents the imaginary part. Similarly, here jwl and 1/jwc represents the imaginary part or reactive part of impedance for inductor and capacitor respectively.
I hope it is clear to you.
For more info, you can check my video on phasor diagram and phasor diagram for RC, RL and RLC circuits.