00:02
Dear student, let me draw the circuit first.
00:06
All right, first of all, we have a source here, emf source.
00:11
With this emf source, we have a resistor connected here.
00:15
With this register in series with this, we have another resistor connected.
00:20
And here from this node, we have two more registers connected in parallel, like this.
00:27
And they are connected to the negative terminal of the battery like this.
00:32
And with this note we have two more registers connected in series all right this way so this is the circuit diagram given in this question now let's label the circuit diagram components all right this emf this resistor has been named as r3 this resistor has been given name r4 this resistor is r1 this resistor is r2 this resistor is r2 this resistor this is r5 and this resistor is r6.
01:11
All right.
01:13
Now, in the first part of the question, we have been asked to find the current flowing through.
01:20
Let's start from the first part.
01:23
In the first part of the question, we have been asked to find the total current flowing through the resistor r2.
01:31
So let's call the current, the flowing in r2.
01:36
Let's name it i2 for our convenience.
01:38
All right so we have to find i2 before date let's calculate the voltage across it for that the voltage across r1 and r2 should be equal so that is equal to v1 is equal to v2 y because they are connected in parallel so this is equal to we have been given the current through r1 there is i1 it is given and we know the resistance of r1 so we can calculate that from ohmslaw that is i1 times r1 all right now simply plug in the values i1 is given in the question all right that is 0 .789 ampers multiplied by the resistance of the resistor r1 that is given it is 13 .5 oms so from here the voltage across r1 and r2 because both are in parallel is equal to 10 .65 volts so this is the voltage across this resistor and this resistor because they are connected in series now our aim is to find the current i2 flowing through r2 that would simply be equal to voltage across it divided by its resistance all right its voltage has already been calculated that is 10 .65 volts divided by its resistance the resistance of r2 is given in the question that is equal to 17 point 3 oms...