Resonance in Parallel RLC Circuit Explained

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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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Опубликовано:

29 июл 2017

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Комментарии : 251

@lakhpatsinghpurohit5838 5 лет назад

Nice and in ful depth .. I really enjoyed it.. and note down lots of point in my book in between :)

@sumanthmetta8292 4 года назад

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

@kumudkumar904 5 лет назад

Cleared all my doubts no body explained this topic in so depth thank you very much

@oldmelodybyprof.maheshjha3197 6 лет назад

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

@abhijithanilkumar4959 5 лет назад

Indians are like what more formulas should I eat up to get more marks

@balasubramanian599 Год назад

Very lucid and clear explanation.Thanks

@sudeepsaha452 6 лет назад

Nicely explained. Cheers :)

@MatheusSilva-dragon 4 года назад

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!)

@divyanshu1210 6 лет назад

Great help .... thank you so much sir

@RSuarez66 6 лет назад

Thank you so much for making this great video in English. I have seen very good videos, but in Hindi, which I cannot understand.

@001agentplatipus 6 лет назад

GREAT EXPLANATION SIR .

@jishanshaikh8961 6 лет назад

Effective explanation!!!!!

@khandokernuzhatrafaislam3516 2 года назад

BEST VIDEO ON THIS TOPIC. I WANT TO BUY YOU A MEAL

@upasnasingh209 3 года назад

Thanku soo much sir Very nicely explained 👏👏😃

@myronzou5985 3 года назад

Beautiful explanation of the resonant frequency of the Parallel RLC Circuit. Thank you

@akhileshr2450 7 месяцев назад

One of the best channels for electronics students

@TechSouls-wn6jc 3 года назад

Very detailed explanation great sir

@sushamakumari5043 6 лет назад

Very helpful!..😊😊😊😊😊

@bachchusingh7793 3 года назад

Awesome explanation 👍👍🙏🙏🙏🙏🙏

@12alimaher 7 лет назад

100% Thank you very much

@shehansooriyaarachchi4108 3 года назад

at the resonance the impedance should be minimum because xL=xC, and the current is maximum

@guruteja3414 2 года назад

@sidhusolvat113 Год назад

Current is maximum in series rlc Circuit this is parallel rlc Circuit bro🥱

@mahbubhasan7544 2 года назад

Well explanation. So many helpful

@mdmaharabhossain3995 2 года назад

U are a life saver😭

@manishbeniwal01 4 года назад

Esi video ki talash thi✌️✌️

@sowmyasree3981 7 лет назад

excellent...keep doing

@BentHestad 5 лет назад

Super! Thanks!

@sannakkimadhuri6045 2 года назад

Thank u so much sir for ur excellent explanation ..... 💐💐💐💐💐💐

@starscream1457 2 года назад

Are in college or in 12?

@yogaraj1524 6 лет назад

💯 percent valuable video.thank u very much sir

@sadeepshyamalgamage453 3 года назад

Good content.thank u

@tae-woongkim5017 6 лет назад

These series for electrical circuit analysis are very useful

@hoytvolker3 6 лет назад

Subscribed !

@Fisicasemfimm 3 года назад

Thank you!!

@mohdrafiq5165 6 лет назад

nice work

@hemalathabhattu2609 3 года назад

Thank u so much sir

@ondadevapor 2 года назад

omg, thanks a lot!

@rashmikiranpandit8962 5 лет назад

Thank u so so so much

@vipinsarkate7694 6 лет назад

Thank u got it

@d.kmukundan1712 6 лет назад

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

@lidiabelhadj5180 4 года назад

thanks sir !

@ravipilli3752 6 лет назад

Thank you

@abdalkhattak1860 5 лет назад

AT 18:16, it was mentioned that Q=R/XL but actually Q=XL/R=XC/R

@seabird9983 Год назад

in seriec RLC circuit Q=XL/R, while in parallel RLC circuit Q= R/XL

@raiitm 4 месяца назад

You don't know anything

@shatakshisinha2794 5 лет назад

Quite good

@muskaan5852 3 года назад

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?

@amardeepjhala6922 5 лет назад

Nailed it...

@subscribeplease107 3 года назад

Where did he nailed it,Is it perfectly stuck now,Or is it shaking,?

@eeejsbd178 5 лет назад

vlo laglo vai

@aryanviolett4606 4 года назад

nice!!

@mehboob8324 3 года назад

you must cover every topic..what frequency it wil discard low or high ?

@viniciusmontezi4838 2 года назад

very nice

@rezwanzakaria1754 4 года назад

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 ?

@ranjithkumary-2294 5 лет назад

Sir but we have anti resonant circuit ,.is this parallel resonance same as anti resonant circuit

@mounikaraghu8007 3 года назад

Parallel rlc circuit is also termed as anti resonance circuit

@mayurshah9131 7 лет назад

Superb!!

@youssefdirani 4 года назад

thanks

@iqraazeem5340 5 лет назад

thank you :)

@vishwajeetkumar9599 3 года назад

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

@radhikakoothadi1620 5 лет назад

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?

@ALLABOUTELECTRONICS 5 лет назад

The series RLC circuit acts as a bandpass filter. So, it accepts a certain band of frequencies and rejects the remaining ones.

@radhikakoothadi1620 5 лет назад

@@ALLABOUTELECTRONICS Thank you sir

@ajitprajapati751 6 лет назад

If resonance angular frequency is wr if w < wr so circuit act as capacitive or inductive ? for parallel resonance and serise resonance

@ALLABOUTELECTRONICS 6 лет назад

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.

@ajitprajapati751 6 лет назад

thanxx

@ayeflippum 3 года назад

I think it better to use a current source for the parallel circuit.

@Mr.Blue07 6 лет назад

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

@polytechplus6677 4 года назад

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

@shashwatdev2371 3 года назад

Thanks. Also spelling of Summary is wrong at 19:05 .

@naveennataraj1578 4 года назад

Is law of conservation of current not valid in parallel rlc circuit

@starscream1457 2 года назад

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

@corneliariasdita715 3 года назад

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 👏

@surajmanipal6016 Год назад

omega^2=1/LC is based on the assumption that coil doesn't have any resistance of its own in parallel RLC.

@tejaspednekar1412 2 года назад

Sir how it became wc-1/wl at 4.45?

@studiogervassi Год назад

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?

@ashishranjan5225 5 лет назад

Nice one

@NaaJeevitham500 4 года назад

what is this software you use to draw circuits and write everything?

@starscream1457 2 года назад

Will this come in JEE

@bandaruramana2119 4 года назад

Sir please make a video of animation not mathematically please

@bharaths9479 2 года назад

In series if Xc > XL then the ckt is Capacitive and in Parallel if Xc > XL then it is inductive, why?

@umasrivastava4142 4 года назад

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?

@harmeharnarula7252 3 года назад

1. Current value is less at the resonating frequency of parallel LCR 2. Q factor will be affected

@fazlerabbi2666 6 лет назад

in parallel resonance when Xl=Xc, there will not always be resonance.(please check V.K Mehta book)

@mdinshadkhan9608 4 года назад

Please describe for mix circuit

@sateesharnipalli6519 5 лет назад

I think at resonance condition current is maximum, so the impedence is minimum.. Crt me if i am wrong..

@Youtuber-xt7of 5 лет назад

It's for series RLC circuit, for parallel RLC , impedance is max.

@jjayasankar9957 5 лет назад

Can you explain how the impedance in parallel RLC circuit is maximum

@msn1989a 6 лет назад

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

@rishavyadav9438 3 года назад

It's correct try to watch it again

@vishalsingh-xt5ip 5 лет назад

Sir in case of band width we use frequency f why u use omega w??

@ALLABOUTELECTRONICS 5 лет назад

w is angular frequency. w= 2*pi*f. So, w and f can be used interchangeably.

@farwaraiz6628 4 года назад

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

@poondlasaidinesh1388 2 года назад

At resonant IMPEDANCE NOT EQUALS TO R, JUST XL=XC SMALL MISTAKE SIR , FOR YOUR KIND INFOR

@math80183 6 лет назад

use of parallel resonance circuit

@ALLABOUTELECTRONICS 6 лет назад

It is used as an oscillator and for tuning the circuits in radio frequency applications.

@uukknown 4 года назад

If it’s just parallel L C, does it work the same?

@ALLABOUTELECTRONICS 4 года назад

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.

@mr.jaydeepmakwana7457 3 года назад

@@ALLABOUTELECTRONICS sir in LC circuit, R is almost zero...(?)

@abhinani5102 2 года назад

Explain the term "j"?

@mdforhadrobbani9530 5 лет назад

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.

@ALLABOUTELECTRONICS 5 лет назад

Its the magnitude of the A+ jB . i.e sqrt (A^2 + B^2)

@mdforhadrobbani9530 5 лет назад

@@ALLABOUTELECTRONICS Thanks a lot.

@nevillelongbottom423 5 лет назад

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 ]

@ayush9462 4 года назад

Sab reverse hojayega

@balajigugulothu6576 6 лет назад

what about Power Factor at Resonance RLC parallel circuit ?

@ALLABOUTELECTRONICS 6 лет назад

At resonance, the power factor will be Unity because at resonance, Xc= -XL.

@anujyotibhattacharjee5831 2 года назад

7.42 correction. Frequency below the resonant frequency circuit is capacitive. Above resonant frequency circuit behaves like inductive.

@ALLABOUTELECTRONICS 2 года назад

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.

@sonatonkumarsaha4311 Год назад

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.

@raiitm 4 месяца назад

You don't know the concept.. You just mugged up 😂

@BlackOldDragon 5 лет назад

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?

@ALLABOUTELECTRONICS 5 лет назад

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.

@raiitm 4 месяца назад

You don't know anything .. Learn

@umasrivastava4142 4 года назад

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.

@ALLABOUTELECTRONICS 4 года назад

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.

@umasrivastava4142 4 года назад

@@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?

@ALLABOUTELECTRONICS 4 года назад

@@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

@umasrivastava4142 4 года назад

@@ALLABOUTELECTRONICS yes sir it's perfectly clear now. Thank you so much sir 🙏

@tayenjamjeneetaa494 6 лет назад

why is it that when XL=0 the inductuctive reactance is dominant?

@ALLABOUTELECTRONICS 6 лет назад

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.

@tayenjamjeneetaa494 6 лет назад

oh i get it. thanks

@tayenjamjeneetaa494 6 лет назад

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.

@dksingh5902 6 лет назад

tayenjam jeneetaa hello friends

@sairamnamburu7254 5 лет назад

@@tayenjamjeneetaa494 that is root of A Square and Bsquare

@AmanRaj-MNNIT 4 года назад

Is this is in jee mains syllbs

@swarnabhasahu7938 4 года назад

At 15:49 How you get the value of omega2?

@ALLABOUTELECTRONICS 4 года назад

At 14:36, by solving the second equation, you can find w2.

@electromagno 4 года назад

If XC is greater than XL before the resonance frequency then it should be capacitive in nature ...why it is inductive???

@ALLABOUTELECTRONICS 4 года назад

When Xc is greater than XL, then inductor draws more current. Hence, it's inductive in nature. ( In parallel RLC CIRCUIT). In, series RLC circuit, it's other way around. Means when Xc is greater than XL,then circuit is capacitive in nature. I hope it will clear your doubt.

@electromagno 4 года назад

@@ALLABOUTELECTRONICS thanks sir 🙏😊

@bulla7910 4 года назад

why will the impedance be maximum?

@shainimonce3549 11 месяцев назад

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

@ashutoshgupta6060 6 лет назад

if RLC circuit are connected in parallel with a dc voltage source then no of node ?

@ALLABOUTELECTRONICS 6 лет назад

Apart from the reference node (ground), it has only one node.

@dhirajkumarsahu999 4 года назад

Sir, what will happen if we have a current source in place of the voltage source? Sir, I feel that in such case the current through the resistor should be maximum at resonance since the capacitor and inductor would become open. Sir, is my guess correct? please help me ...

@ALLABOUTELECTRONICS 4 года назад

In the parallel RLC circuit, when the voltage is applied to the circuit, then the voltage across each element remains the same. But at the resonant frequency, the admittance becomes minimum or impedance becomes maximum. I hope it will clear your doubt.

@dhirajkumarsahu999 4 года назад

@@ALLABOUTELECTRONICS Sir, will the response will be the same if we replace the voltage source with the current source?

@ALLABOUTELECTRONICS 4 года назад

It will remain the same. The thing is in the parallel RLC circuit, we are measuring the current, as the voltage across each element is same. And if you see the response of the current through the resistor then it will remain the same.

@dhirajkumarsahu999 4 года назад

@@ALLABOUTELECTRONICS Thank you so much for your kind help sir ! ❣

@bobcocampo 4 года назад

What is the application? Please give example.

@akashmali2395 3 года назад

6:54 it should come XL > XC therefore lagging portion . And the way you have written XC > XL it comes in series resonance circuit.

@ALLABOUTELECTRONICS 3 года назад

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.

@akashmali2395 3 года назад

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.

@ALLABOUTELECTRONICS 3 года назад

In parallel voltage across each element is same while in series current through each element is same.

@a_57_kaushalkumar12 3 года назад

If W< Wr then circuit is capacitive means current should lead voltage while W>Wr circuit is inductive and current should lag voltage

@sksaini7461 4 года назад

what are the variations in the parallel LCR circuit?

@starscream1457 2 года назад

Ye jee me aayega bhai?

@sksaini7461 2 года назад

@@starscream1457 nhi aayega bhai, jha tk mujhe pta h

@subratkumardash8839 6 лет назад

how current lags voltage when Xc>Xl?

@ALLABOUTELECTRONICS 6 лет назад

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.

@subratkumardash8839 6 лет назад

ok sir..thankx a lot..bt in series resonance current leads when Xc>Xl..is this correct??

@ALLABOUTELECTRONICS 6 лет назад

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.

@atulsain6170 6 лет назад

Likes for both of you.

@twilight7713 3 года назад

Can you provide pdf of this?

@sm-ph8uf Год назад

current maginify ka reason koi explain kar do plz...

@rashmisingh372 Год назад

the current in resonance will be maximum and the resistance will be minimum

@moonpiespotlight4759 2 года назад

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.