 See when we talk about complete the theory of circuit analysis we will not be able to do some good questions which are slightly more involved because the involved questions of circuit analysis will have everything tested not just equivalent resistance fine. So let us try to learn the complete theory for circuit analysis then we will you know take up few good questions okay write down our E and F Electromotive force can generate which drives the current resistance you know back between the across the two points of the battery fine but if internal let us see that like this okay you have this one number one and one number two so you have inside this is this in clear okay because circuit this is I can you find your potential difference between one and two okay so what is V3 minus V2 and what is VE okay so when you add it you get V1 minus V2 equals to E minus IR see this is positive that side so potential E to positive potential any doubt on this any further now we have single battery which has an internal resistance now we have equivalent internal resistance in both cases any doubt on this nothing fine so let us proceed this is a potential now okay one after the same okay my remote has parallel connection a single single internal resistance let us say this is E and R what is the value of E and what is the value of R it is flowing here to here also fine so now solve it which you should notice here is that this these two points A and B they are same you can assume a third point here as C no what is E equal to E to minus E1 equals to E1 plus E2 minus I into R fine now so coefficient should be equal so R should be equal to R plus R2 see the thing is this if A is a square plus B is equal to 2x square plus 3 can you say A is so R is equal to okay fine so how is this in series connection the positive side should be connected to negative side of the battery what if it is connected like this then what will happen what is equal to E so this is not series connection but it is like one small variation for it okay so we have found connection now let us take up the parallel connection okay series only that is emf only that is emf but when you connect it same the way you connect the resistance so if current is flowing I okay and I am saying that this is equal to that let's say this is E and this is R so current here also be I only fine so you need to find out what is E and what is R in terms of these okay first step is find the relation between what is happening yeah but then that is like there that is the relation this is suppose I to and this is I one so I will be good what I want this point A this is point B then this is point A and that is point B okay anybody got anything you got something right use these two points I was just checking with the previous so let us say minus V AB by R in this equation is V AB by R 1 stop talking minus is equal to E 1 by R 1 plus E 2 by R 2 minus V AB 1 by R 2 now is V AB substitute this R here to get a thing much smaller chapter compared to rare yeah they put inductors you don't you don't know inductors you learn about magnetism for electrostatics to store the magnetic energy you have inductors