00:03
Hello.
00:04
So let us have a glance at this question.
00:06
In this question we have been given a circuit which has two batteries.
00:11
One is 12 volts battery with this as a positive terminal, this as the negative terminal and another 5 volt battery.
00:18
And in the circuit we have got three registers.
00:21
One is 4 oom, the other one is 3 oom, the other one is 2 oms.
00:25
And what they have asked you to is find out what is the current in each of the resistors.
00:31
So let's start finding out that.
00:33
So in order to find that we have to apply the kitchaf's law.
00:37
So according to the kitchf's law, we can take an arbitrary direction of current first, and then some of the, according to kitchf's law, some of the potential difference across a total loop would be equal to zero.
00:51
And that is what we will be using in order to solve the question.
00:55
Now since we do not know the direction of the current and the value of the current, we will assume some arbitrary direction.
01:00
So let us say we have a current flowing in this branch which is equal to i1 so this is the direction of the current and current coming out from this is i2 this is the direction of the current so the total current flowing through the 4 oam resistor is i1 plus i2 in this direction now the current would divide again into i1 and i2 in this sense okay, so we are just assuming this is a direction let us say we do not get the we may have a wrong prediction of the direction also while solving the problem but anyway we will take this loop first and solve the question so when we take this loop starting from here we will apply the kitsch of law so loop rule equation that is plus 12 volts and then we come across this segment of the 4 -home resistor where we will write this as minus 4 multiplied with i1 plus i2 and because the current direction is in the same sense as the resistor, then minus 3 i1 and that should be equal to 0.
02:07
So we have completed this loop for the problem.
02:10
Next we will take up this loop and we will go up in the anticlockwise sense starting from here.
02:15
We come across a battery of 5 volts.
02:18
So we will write plus 5 minus of 4, i1 minus i2.
02:24
I'm sorry, i1 plus i2 minus 2 i2 should be equal to 0.
02:30
So we have got two equations, equation 1 and equation 2 and 2, and 2 variables that is i1 and i2 which we need to determine.
02:38
So we can solve these equations...