00:01
So, its part a is to calculate the total reactance of two reactants connected in series.
00:11
So, we are using this formula x is equals to x1 plus x2.
00:17
Here x is the total reactance, x1 and x2 are the reactance of the two components.
00:24
So, now the values given to us are v is equals to 3j and w is equals to 3 plus 4j.
00:39
Okay? so, we can find out its sum v plus w.
00:44
So, it is 3 plus 3 plus 4 is 7j.
00:49
Okay? so, this is the x, this is the x which is total reactance, x is equals to 3 plus 7j.
00:59
That's our total reactance.
01:01
If we see its part b, so to calculate the difference between two force vector represented by complex numbers v and w.
01:13
So, if we have to find out its difference, we have to do v minus w.
01:17
This is the sum.
01:18
Okay? now, the difference v minus w.
01:21
So, we will do the same.
01:22
Okay? so, here v is 1 3j.
01:28
Okay? minus, this is 3 plus, w is 3 plus 4j.
01:34
So, from here, this is v minus w is minus 3 minus j.
01:44
I can say 1j.
01:45
Okay? so, we can give it, we can explain it also by a diagram which is arrogant diagram.
01:56
So, it is like this, this suppose that this is the axis and this is also the vertical axis.
02:06
Now, this is the w side and this is the v side.
02:11
Okay? so, this is called the arrogant diagram.
02:19
Now, if we see its part c, so part c is the identical to part b.
02:25
Okay? now, we are seeing it parts d.
02:29
Same, same as d.
02:32
Okay? let's see the d.
02:35
So, to calculate the current flowing in the circuit in polar form, if the voltage is 120 volt and v is at 1.
02:47
Okay? so, we need to find the equivalent impedance of the circuit.
02:52
So, equivalent impedance zeq is equals to zs.
02:58
Zs is the source impedance plus z.
03:01
So, z here the total impedance of two reactants connected in series.
03:06
Okay? so, we have given the value of v.
03:08
So, we know the value of v and w.
03:12
Okay? we have given this too.
03:15
So, we will find out its sum which is v plus w.
03:17
It is 3 plus 7j.
03:21
Okay? as we have find it here.
03:24
And so, therefore we can say that z is that total impedance is 3 plus 4z.
03:33
Okay? now, z1, vz1.
03:38
We have given the vz1.
03:40
So, we can easily find out the zs which is the source impedance...