00:01
Hello students, in this question we have given an lcr circuit that is connected series having 200 ohm resistor, 0 .4 henry inductor and 5 micro farad capacitor.
00:23
We have to calculate its frequency at maximum current and then the amplitude of current at 400 radian per second.
00:42
So first we can look at the maximum current.
00:44
So at resonance we have that criteria that current is maximum due to that r is equal to xz impedance.
01:01
So we have the equation to find the resonant frequency f is equal to 1 by 2 pi into root of l into c.
01:11
So we can substitute values we have 1 divided by 2 pi into root of inductance 0 .4 into capacitance is 5 into 10 raised to minus 6.
01:24
So we have that is equal to 112 .59 hertz.
01:30
So we have calculated the frequency at which maximum current is equal to 1 by 2 pi root l c and that is equal to 112 .59 hertz.
01:52
Now we have to calculate current when the frequency amplitude frequency is 400 radian per second.
02:03
So given omega is 400 radian per second we have to calculate i.
02:10
So i is equal to v by z we have to calculate z the impedance...