00:01
Hello student, in this question given as a circuit.
00:02
Now, first of all in the first of first part of the question, we have to calculate the nodal potential node at the node potential v.
00:12
We will apply the kirchhoff current law.
00:15
So i1 plus i2 plus i3 will be equal to the 0.
00:22
So i1 is equal to that will be v plus 20 upon 2.
00:30
I2 is equal to i2 will be equal to the v minus 30 upon 2 plus i3 is equal to v minus 40 upon r out is equal to 0.
00:49
Now in the first part of the question given as a if r out is equal to 3 kilovolt, we will substitute their values of r out and after calculation we will get the potential at node will be equal to the 110 upon 8 volt and we will calculate the i3 current.
01:12
So this will be equal to the v minus 40 upon 3 that is minus 70 upon 8 milliampere.
01:26
Negative sign shows that the current flowing in the anti -clockwise direction.
01:32
Now, we will calculate the power delivered to the across the r out.
01:42
So power delivered across the r out will be equal to the i3 square into r.
01:52
I3 is the 70 by 8 whole square into r is 3 kilo ohm.
02:01
So the power will be equal to the across the r out will be equal to 229 .6875 milliwatt.
02:15
In the second part of the question, we have to calculate the hevenin voltage.
02:24
First step is we remove the r out and apply the kvl in first loop.
02:32
So this 30 volt plus 2 i plus 2 i plus 20 is equal to 0.
02:42
So i will be equal to the minus 12 .5...