00:02
So we have circuit which includes your r2 resistor, here you have r1, here you have a battery of e and here you have again a battery, let's call it e2, you have resistor, call it r3, here you have r4 and here you have another battery which is your e3.
00:23
This as a mesh 1 and this as mesh 2.
00:26
So for mesh 1, you have, let's apply the kvl, you will have i1 r4 plus e2 plus i1 minus i2 r3 minus e3 equals to 0.
00:43
So now let's take i1 as common, you will have r3 plus r4 minus i2 r3 equals to e2 minus e3.
00:52
Make sense? so now similarly for loop 2, you have i2 r1 minus e1 plus r3 i2 minus i1 minus e2 plus r2 dot i2 equals to 0.
01:09
So let's take this equation as second equation.
01:14
So from first equation, you can write your i2 r3 equal to i1 r3 plus r4 minus i2 r3 plus i2 plus e3.
01:27
Let's say it's our third equation.
01:30
And similarly from equation second, you can write i2 r1 plus r2 plus r3 equals to e1 plus e2 r3 i1.
01:43
So this is your fourth equation.
01:45
So now write equation third from fourth.
01:50
So you will have r3 upon r1 plus r2 plus r3 equals to i1 r3 plus r4 minus e2 plus e3...