 आमने क्या शवोल सापनो थिता आप सब �激ाक है कि प्रशियदों यहाआ.. आप आप सब ज़ाज सब देटा हैं आप कोई लिए थे बज़ज एक सापनो अगर में नीच तो नेत्टी मगर नाथब औस लग सापनो बची तोग। तो हमने केपासिटी केपासिटी की कुछ इस तरे से दीफाईन की ती की भीःया अगर मैंने क्यो एमान्ट अप चाज उस में डाला तो अगर मेरा पोटेंचल दिफ्रेंच कम होगा तो मझले उसी केपासिटी जादा है अगर मैंने पोटेंचल दिफ्रेंच कम होगा तो केपासिटी जादा होना चाही है अब हमने फिर उसके बाद ये जाना की भी केपासिटी होगँ ठाला बाद ये कपासिटि इस साभ मैं बोटेंचा वीदिविर लाक। गी कपासिते ध्या वल की जादा है तो चाहा उसके तो केपासिटी भी पोटेंच कम होगा तो अगर में राने पोटेंच कम हो गा अगर में वीटी होगा तो ये सब हम ने की आप पहले लेक्चर में तो हम ने काफी मेठमाटीकली यह से ब्रड़ाईग की आप ने मेठमाटीकल रहा है सब कुईज तोपिक में हम थोडा फिzikli बात करेंगे की कि किन-किन चीजो से और फरग परता है अगर मैं कुच मतेरिल या मेट्ँम चेंज कर � या दो मेटल कनडक्टर्स के भीच में तो क्या केपैसिटी चेंज जाएगी तो हम वो दिसकस करेंगे यह आप ने तीके है और साती सात ये भी दिसकस करेंगे दोस तो की अगर मैं एक से जाडा केपैसिटर कनेक कर दूँ तो रहा है और ढीड़ा, मैं अगर कनाझा है तो अगर तो प्ऑी आप भान साता है तो ये लिए ती हॉँच बीच मैं दोस ऋर वह दूँँझ किनाज डी़ख होता जे के अगर तो हम भी वो वी तीए के पासिटा है टियर हा मेरा केपासेटर रहीखे टिषके बीचा टोस तो मावहुपनी मेरे नहीं केपाँ करुद italiano टिया लेक्टमतेरिए के अहुता है टिया लेक्टadays के आप आप मैनसक końां बट्टिय dropdown interpretation छुभ Java एक मालिए टीए पासम तेलिए बदऱफरी अगर, यहे न्गेटीप प्लेट है. उगर बाज़ा एद, और बवावावाईईगा. नीवेश कुईव हो गीगौगी. अगर यहाघ बबवावाईईगा, अगर यहाघन बागाउझागाज़द़िवेष्वाश्गर्ट कहना, तो यहापे खुब सार एलेट्रोन अदहते है, यहापे पाज़। अजाजादादादादादादादादादा। तब तक आव साथ होता अदा था, जब तक जो इन दोनु की बजजे से जो फिल्ट है इसको ख्यशालाउड नहाग कर दे. यहाँ एक पास्व्टिचाज आजाता है जब तब तक यहसाव होता रहाता जब तक तो इन दोनो की बज़ेसे जो, फ्याँ ना कर दें। तेके, लेकिन यह तो डीलेक्रिक है अपिश में तो एक अपना फ्री मुभ नहीं कर सकता है अगर अगर अप से इस में अप इसंफोज क्या कि लगाने दोस to ekore turashe e l f ki... तो ये पु़र तीस्टाफ्ड होईगाएगा यहाएगा p-ystaud ho ajayega yahae pe.. यहाई फोजटिद चाज चाच चाज सब जर ज़ाच ना जे। se chana chana chana chana chana... नोग बियो नाद्प्िययं लेवर्टिय क्छनैंगर में थाःनेंगर में भी लिए आप उस्टारे से सोगता. तो नोग नोग अप छवाई लिए वी च्सनले हैंगर में रहई क्छनेंगरी क्छने कर लेन्गते हो ती अप जो दिन का ड़ाँग. अगर इस में आप इस टरे से एलेक्टिट फील लगाएंगे दोस तो ये पुरा दिस्टोट जाएगा यहापे पुस्टिट चाज चला जाएगा और जो नेगेटिट चाज है वो आजिप यहापे शिप्त होगया आसा फील आईगा तो पुरा का पुरा ये एक दीपोल बन ज अगर एक दीप चाज अज अज अज आतम के अनदर दीपा लेगा लेकिन धिस टोडवे एक पुरा का पुरां आईगेटिट तो हम भोल सकते हैं यहापे हमें देपं साभे डीपोल देखने को नहींगे यहाप नहीं पुरा डीपोल बन ज पोगगगे एसे कर वो गगे यह � �hésitez्तिउ यी क्सिम्मथे। नुछके ब्रैज प मतें हैं। प्चोग तू�oftarte वेन Fish नुड़ अआप पनोठ वीज है ब purl व्रेज वीज हैroleum अची प्रोत्टिन क्यच ईआप स सब में अप lime यी फ्रोत्टिं Supreme के विखे पासे अपोल мире dialogues Wię ू।। ॅ।। Sunshine । ।нов । ।pi । ।f ।f ।des ।b ।a ।f तो तरच़ा पुझानेगा जो लोगनेगे बगे तरच़ा पूझा है यह थु बईचा यह साथ दो बैंःापधा दीट पदे?? जा पर बआखगग साथ देख्चे कि जो जाप्देथ यह साथ देख्चे किट किझाथ भकार। त मुझे ती यह से धेकिखी लेक्टॄरे से भो गहुगे रूव � fry धेकिखी ताक बागे खना त 탄 बाए सुल एशू 여자 मेरेद्बागे श्तींilyernashead तो अब यी ऐस्टरनल कितना है यी अस्टरनल मुझे दो पता ही है, क्यी दो पालर प्लेट केपसितर है, तो इस की बजेसे जो येलक्ट्टी फिल आएगी, तो प्लस किव गए जो येल्ट्टी फिल आनी चाही है, उो सिग्मा बाई तु इस्ट्यान्फ आए एगीं away 3 re 3 revela re सкуल nine जो छब ज़ियेलेक्ट craziest यह सिए ब lumière स tio वी किये di delegate सब रव अव डलोब तो स magazine ठो आप लीख से off कि ण éch जप हमने di डलोब. ूँआ तो तब टीलेकट में � Zhang तब दीलेकटम कुवडराकट एक ल्ठीत democratic constant तब नश Dell most of is �leich उंफ वो collection तो अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर अगर वाड या ओओक वेस्लूँ कॉ अप आपयरुचदात्हाने लूभ, या उतेरिलूँ किः बहुँगा आपने वाड वेस्लूँका थी, उतेरिलूँ किः अप उस्मूँँका जानाउगा उभो उतेरिलूँ लूँँइ स्मत्रोला अफ़्दई जान चब. तो आपको आईगा थ वैल। of smallq । equal to q times 1 minus 1 by K. अपने ये निकाल लिए, कि भैई दैपोल मोचन की वजजेस से, कितना वो बचाज दन्स्ती होगा एस प्लेट के तरव अर उश प्लेट के तरव, तो आपने right electric field into distance is the potential difference fine now if i multiply d from d on both the sides then e into d how much i have e naught d by k okay so the new potential difference will be the potential difference divided by k okay and the charge will be the same so if i say q naught by v naught if c is then q naught by v should be my new capacitance i take c naught this should be c right and v how much is v naught by k so when i substitute this then q naught by v naught k times of that is equal to c okay and q naught by v naught what is q naught by v naught is my c naught so my capacitance is k times earlier capacitance okay so i write here the new capacitance is equal to k times earlier capacitance so this is a very important relation remember that the capacity of capacitance will be k times if you put the dielectric of value k between the metals okay fine friends so now we have also found out how the capacitance will change if we put the dielectric now we will discuss friends that if multiple capacitors are connected together then how we will deal with that situation okay first let us know that capacitor can be connected in multiple different ways fine it is not necessary that only series or parallel connection is there but the series or parallel connection is a little special it has some uniqueness right for example in series connection you will see that 4 is the same in all the capacitors and when you talk about parallel capacitor then you will see that the potential difference is the same in all the capacitors so because they are uniquely identified that is why we study them separately but it is not necessary that only these two connections are in the capacitor okay so first of all we study the series connection here is one capacitor this is the second capacitor in this way I have connected three capacitors okay and I have connected this with a battery v is c1 c2 this is c3 okay now here you can see that if the battery supplies the charge then you can understand that it has charge q how much charge it will have automatically it will have minus q we have discussed this right you can see that it will have minus q okay now how much charge it will have here friends here to remove the charge you should know that this plate and this plate are both combined and isolated means that this system is isolated it is not in contact with anyone so the first charge that it had will still have the same charge so the first charge was zero so it should still have zero this is minus q so here it should have plus q so similarly here it will have minus q and here it will have minus q so because they are both combined and then there is an isolated system so here it will have plus q and here it will have plus q so here it will have minus q right so now you will see that when the series is connected to the capacitor friends so all of them have equal charge okay so this is the recognition of the series connection that charges on all capacitors will be having same value okay and the positive plate of one capacitor is connected to the negative plate of other capacitor okay now if I have to deal with three capacitors simultaneously then the simplest scenario for me is that I have to keep only one capacitor so is it possible that I treat these three as if as if it is a single capacitor it means that if I say that this circuit is equivalent to a single capacitor circuit of capacitance c equivalent okay its potential difference is v so is it possible that if you do this then what will happen is that you have replaced these three capacitors with single capacitors right so if you have replaced them then no one in the circuit should know that there is a change the change that should not be felt by other circuit elements other than capacitors okay and what else is there in the circuit friends the battery should not know what it means this means that whatever charge is being supplied here understand what is being supplied here this is only connected with one plate so why will it go from here fine the same charge should also go from here means the battery should not be felt that there is a change that is why we will say that it is equivalent to these three fine so here also the charge will go from here minus q will come friends fine so when there is a series connection then not only in all the series connections there will be a charge same in them in fact the equivalent capacitor here will also have the same charge okay now we know what is the value of c equivalent okay to know this first you do the numbering this point number one it should be called two this is three and this is four okay when you write these three then two and three are gone but one and four are still existing fine now we will see how to deal with it v1 minus v2 is what potential difference point between point one and point two now potential difference if I have to remove what is in between is the capacitor only the capacitor can bring the potential difference between these two and if the capacitor is bringing the potential difference then its value should be how much its value should be q by c so here c is c1 fine and when I am doing v1 minus v2 then I am going from positive plate to negative plate means the potential of one is more than two so this is the right equation similarly you will see that v2 minus v3 how much is this q by c2 friends and v3 minus v4 when you write then you will see that this is enough and when you add these three equations okay when you add these three then you will see that v2 is gone fine and v3 is gone only v1 minus v4 is remaining here by adding these three you will get this equation v1 minus v4 is equal to q by c1 plus q by c2 plus q by c3 fine now this equation has come from this circuit and when you see this circuit so 1 or 4 unchanged so v1 minus v4 is also equal to q divided by c equivalent right so when you equate these two then you will get that 1 by c equivalent is equal to 1 by c1 plus 1 by c2 plus 1 by c3 fine and if there is more capacity in the series then you just add it fine so in this way you can get equivalent capacity if the capacitor is in the series fine after seeing this equation you can remember the parallel connection equation of resistance okay now if you believe that you have only two capacitors fine if you have only two capacitors then how will you get c equivalent? 1 by c equivalent will be equal to 1 by c1 plus 1 by c2 so the c equivalent will be c1 c2 divided by c1 plus c2 fine this is the case when there are two capacitors right this is equal to c1 multiplied by c2 divided by c1 plus c2 and this is also equal to c2 multiplied by c1 by c1 plus c2 fine when you write it like this then you will get that the term in the bracket is less than 1 this is also less than 1 and this inside the bracket is also less than 1 okay so in the first case you have multiplied c1 by a number which is less than 1 and is positive and you multiplied c2 by a number which is less than 1 and is positive and both are equal fine so the equivalent capacity will be smaller than c1 and c2 will be smaller than c2 fine so the equivalent capacity which comes in series connection that is less than the list of all capacitors fine okay now we derive the equivalent capacity when the capacitor is connected in parallel okay so parallel connection looks like this this is the battery this is the c1 this is c2 and this is c3 c3 and I am saying that if I replace these three and put a single capacitor then this which will come if I say a sequence then how much is it in terms of c1, c2 and c3 fine now you will see that in this something will go in this plate something will go in this plate something else will go let's say this is q3 charge here is q2 charge fine and here is q1 charge how much total charge the battery has given the battery has given q1 plus q2 plus q3 charge so here the same charge will have to be given to the battery that is the equivalent so this will be q1 plus q2 plus q3 fine charge on equivalent capacitance is equal to q1 plus q2 plus q3 so in this way I have connected what is happening here from this circuit fine this is the connection right now this q I can write c equivalent into v what can I take c1 into v q2 into v and q3 c3 into v so c equivalent will come c1 plus c2 plus c3 fine so in this way you can take equivalent capacitance when they are connected in parallel when they are connected in parallel so the equivalent capacitance will be sum of all capacitance okay okay now let us see some illustration fine question number one write I have some capacitance connected in this way this is point A and this is point B this is c1 c2 c3 c4 you have to take equivalent capacitance between A and B okay now we will see that these two are parallel why are they parallel because the potential difference is same between them right and these two are series so I can write this way first I will take the equivalent 1 by c is equal to 1 by c1 1 by c2 so c will come my c1 c2 by c1 c2 this capacitance will be c1 c2 divided by c1 c2 and these two have c3 c4 c3 plus c4 right this is equivalent to that now to take these two equivalents I have to use this formula 1 by c will be c1 plus c2 or c1 c2 in numerator plus 1 by c2 plus c4 so c will come to you c1 c2 c1 plus c2 multiplied by when you will take 1 by c 1 by 1 by c will do here c1 c2 will come or here c1 plus c2 plus 1 by c3 plus c4 so c equivalent will come c1 c3 plus c4 divided by c1 plus c2 c3 plus c4 plus c1 c2 fine so this is equivalent capacitance so this way you can take equivalent capacitance in this particular case ok now we do some different questions understand that you have this situation this is c1 c2 this is c1 c2 and this is how you can connect or infinite connections fine that point fine and because infinite is connected then if I give a pair from here then between these c and d will come in between all the a and b will come in between c and d because this is infinite no difference from going one so we will do c1 c2 c2 and here I said this is c and d this is a and this is b now between these two the equivalence will come c equivalence fine these two these two will get equivalent capacitance plus c equivalent then c2 plus c equivalent is in series with c1 so this way will look c2 plus c equivalent here connection because in these c equivalent will be equal to c1 into c2 plus c equivalent divided by c1 plus c2 plus c equivalent fine so when you multiply this then you will have a quadratic equation friends c1 plus c2 plus c equivalent to air fine equal to c2 plus c1 into c equivalent so c equivalent square c2 into c equivalent minus c1 c2 is equal to 0 a quadratic equation the the answer would be c equivalent ok by we are यह सी वन पाईन आपको निकालना है चार्ज आन सी लिए तो कैसे आए गगा यह? अभ इस सरकिट को पहले आब द्यान से समझ लेगे गे कई भार खया ताए जो स्वुडन्स होते है यह वेडिमे होते है तो क्यु दीवाड़ बी चीवान था गगा C5V estuv?? क्यो कि भाई मुझे पोनो पूईण कि बीज ना थे देफाइण चीये तो और प्री के बीच मैं वो कि वो इसले चाए यह तागे वे चाज चीए थी थी और इस में निकाल सो गया क्यो निकालना है 2&3 कितना आईगा ये C1v divided by C1 plus C5 ये आगा पोटवन्चे दिफवरेंस between these two points योकी ये दोनो पोटवन्चे चाज यकालना है ये ये आखाईगा आगाईगा एस खेपपसितर पे तो उस की फ केजाज निकालने गया जोगी परच़े लिच़ेशा आयाília तीख इस को हम लोग, क्यों परच़े लिच़े लिच़े शीवेगा परचे लीच़े धलँग से बी रहाते गराठा है। तो यह आप यह तोड़ा से क्यल्कुलेशन बहुत जाड़ा अपको अच्टी होगी क्योगी बहुत शाँम साँर हैं लेकिं जब वेलूज दी होगी कुश्टिन्स में तो हो सकता है कि टिंख्स विल गेट सिंपलिफाई लेकिं आप को यह आप कुँश्टिन्स समझना बहुत जरूगी है क्योगी यह जो भी आमने पड़ा है वो यह आप बहुत अच्टी तरे से यूज हो रहा है यह दोनो सीरीज में रहीं तो इनका जो इश्टिन्स आप ड़ोस तो एस में चाज होगा वो ही नाश होगा यह तो वो इसके अंद मिने क्रजलने किल एह मुझे पहले आकसा से चाज निकाश भी प�टेंचब्डिन्ची डिफरेन ड़ा पड़ा पड़ेगा इं 2 point की बीच में प्रटेंचे दिफ्रेंच में निकाल पाँूँ उसके बाद ही में चाज निकाल सक्ताँ, कितना है इसके अंदर