00:01
In this problem we are given a circuit which is as followed.
00:12
Now the resistance over here is 3 volt.
00:15
Let this be considered as r1.
00:18
Capacitance is 15 microfarad.
00:23
Inductance is 16 milli henrys.
00:29
And resistance is 14 volts in this case.
00:33
And let this be considered as r2.
00:37
We need to find input impedance of the given circuit.
00:40
Omega is 370 rads per second.
00:47
Now in order to find input impedance we are going to use the formula which is equivalent to z input is equivalent to r1 plus 1 divided by j omega times capacitance plus j omega times inductance times resistance 2 in the circuit divided by resistance 2 plus j times or inductance times of omega.
01:30
Okay now this we could simplify and write it as the impedance of the input for the given circuit is equivalent to r1 plus 1 divided by j omega c plus j omega n times r2 divided by r2 plus j omega n.
01:58
Now the values that we have considered are omega which is 370 rads per second.
02:09
Then we have r1 which is 12 volts.
02:14
C which is 50 microfarads.
02:18
So let us convert it in farads.
02:21
So we get 50 times 10 raised to power minus 6 farads.
02:25
Then we have inductance which is 16 milli henrys...