Hello and welcome in this tutorial, we will learn how we can actually find the resonant frequency of
the circuit.
So in our case, we just have a very simple circuit that is the Elzy circuit.
And if we plot the current of the circuit, I mean the current across the capacitor, it looks something
like this, uh, and the time of simulation was in milliseconds.
And the current follows a pattern, something like this, which we already computed.
So now let us start the analysis.
So first of all, let me zoom in a bit.
So, uh, when there is a resonance, let's say you switch on the circuit, uh, there will be the natural
frequency on which the current will oscillate in an L2 circuit.
Right.
So the period of oscillation should be close to the resonant frequency.
So I will use this principle to find the resonant frequency from console.
And then I will compare with the actual formula that is one by two BIRUTE over L.C, which is the resonant
frequency formula and compare the two.
So let's zoom in and take two points here.
I will take this point and this point, which is a complete, complete period of the web.
So let me just zoom in.
So the point is around zero point zero six two milliseconds, I've already prepared our actual seat.
I'll just show you.
So this is my actual seat here.
I have the inductor value, the capacitor value, the capacitor value in Cybernet, the inductor value
in Cybernet, the value of L.C and the frequency that is one by two PI route over L.C square root of
E2, which is L.C and this is the T1 and this is the key to.
Do you want to data at the time of these two points.
This is day one and this is day two.
So this gap is the time.
So I go back to my Excel sheet.
So then the difference between the time will be the time of the resident frequency from dissimulation.
Right.
So I have divided by ten point three to convert it into seconds because this two time are in millisecond
from the scaling console.
As you can see, the time is in milliseconds.
And so then what I did is I calculated the frequency, which is one by time.
So I is the time.
So one by time is the frequency.
So for error, uh, it is just the difference between the absolute value divided by the analytical value
if you calculate error with respect to the analytical value.
OK, so this is our actual sheet.
So let's go back to council then.
Uh, we have this point, which is zero point zero six two.
So in the time T one, we will write zero point zero six two and time data is zero point one two five.
So this is zero point zero six two and this is zero point one two five.
And the capacitor is one hundred and unfettered and the indicator is one million three.
So again, the inductor is one million three and the capacitor is one hundred nine.
Ferid so we get all the values.
This is the frequency from the analytical formula.
These are the time from our simulation, from commercial and the simulation time, frequency from simulation.
And this is our error.
Now, if we calculate the percentage error, I just multiply by one hundred to calculate the percentage.
It is zero point two six six eight percent.
So I'll just write this as error percent.
OK, so this is our error percent for this circuit.
Now let us change the value to something else and see what will be the results.
So in our next lecture, what we will do is we will use different values of L and C and then we will
see what our.
The error from the analytical value and the simulation value.
Thanks for watching and we will join back in our next lecture.