WEBVTT 00:01.770 --> 00:10.740 Hello and welcome in this tutorial, we will learn how we can actually find the resonant frequency of 00:10.740 --> 00:11.540 the circuit. 00:11.940 --> 00:17.010 So in our case, we just have a very simple circuit that is the Elzy circuit. 00:17.430 --> 00:26.640 And if we plot the current of the circuit, I mean the current across the capacitor, it looks something 00:26.640 --> 00:32.130 like this, uh, and the time of simulation was in milliseconds. 00:32.430 --> 00:37.170 And the current follows a pattern, something like this, which we already computed. 00:37.920 --> 00:42.250 So now let us start the analysis. 00:43.320 --> 00:46.310 So first of all, let me zoom in a bit. 00:47.250 --> 00:56.550 So, uh, when there is a resonance, let's say you switch on the circuit, uh, there will be the natural 00:56.550 --> 01:01.200 frequency on which the current will oscillate in an L2 circuit. 01:01.470 --> 01:01.840 Right. 01:02.100 --> 01:08.180 So the period of oscillation should be close to the resonant frequency. 01:08.970 --> 01:14.250 So I will use this principle to find the resonant frequency from console. 01:14.460 --> 01:21.630 And then I will compare with the actual formula that is one by two BIRUTE over L.C, which is the resonant 01:21.630 --> 01:23.650 frequency formula and compare the two. 01:24.750 --> 01:28.490 So let's zoom in and take two points here. 01:29.640 --> 01:36.430 I will take this point and this point, which is a complete, complete period of the web. 01:37.020 --> 01:39.000 So let me just zoom in. 01:40.740 --> 01:48.690 So the point is around zero point zero six two milliseconds, I've already prepared our actual seat. 01:49.720 --> 01:50.610 I'll just show you. 01:50.970 --> 01:53.760 So this is my actual seat here. 01:53.910 --> 02:03.000 I have the inductor value, the capacitor value, the capacitor value in Cybernet, the inductor value 02:03.000 --> 02:11.760 in Cybernet, the value of L.C and the frequency that is one by two PI route over L.C square root of 02:11.800 --> 02:17.610 E2, which is L.C and this is the T1 and this is the key to. 02:18.000 --> 02:21.880 Do you want to data at the time of these two points. 02:21.900 --> 02:24.360 This is day one and this is day two. 02:24.510 --> 02:26.540 So this gap is the time. 02:27.600 --> 02:29.760 So I go back to my Excel sheet. 02:30.690 --> 02:39.560 So then the difference between the time will be the time of the resident frequency from dissimulation. 02:39.870 --> 02:40.210 Right. 02:40.530 --> 02:48.710 So I have divided by ten point three to convert it into seconds because this two time are in millisecond 02:48.720 --> 02:50.660 from the scaling console. 02:50.670 --> 02:53.310 As you can see, the time is in milliseconds. 02:54.000 --> 03:02.270 And so then what I did is I calculated the frequency, which is one by time. 03:02.490 --> 03:03.820 So I is the time. 03:04.110 --> 03:06.060 So one by time is the frequency. 03:06.420 --> 03:14.220 So for error, uh, it is just the difference between the absolute value divided by the analytical value 03:14.220 --> 03:18.720 if you calculate error with respect to the analytical value. 03:18.900 --> 03:21.380 OK, so this is our actual sheet. 03:22.140 --> 03:25.130 So let's go back to council then. 03:25.170 --> 03:31.260 Uh, we have this point, which is zero point zero six two. 03:32.250 --> 03:42.600 So in the time T one, we will write zero point zero six two and time data is zero point one two five. 03:43.140 --> 03:48.090 So this is zero point zero six two and this is zero point one two five. 03:48.750 --> 03:55.580 And the capacitor is one hundred and unfettered and the indicator is one million three. 03:56.460 --> 04:03.970 So again, the inductor is one million three and the capacitor is one hundred nine. 04:04.000 --> 04:07.410 Ferid so we get all the values. 04:07.980 --> 04:11.040 This is the frequency from the analytical formula. 04:11.610 --> 04:19.140 These are the time from our simulation, from commercial and the simulation time, frequency from simulation. 04:19.140 --> 04:20.850 And this is our error. 04:21.420 --> 04:28.020 Now, if we calculate the percentage error, I just multiply by one hundred to calculate the percentage. 04:28.290 --> 04:32.360 It is zero point two six six eight percent. 04:33.630 --> 04:36.840 So I'll just write this as error percent. 04:38.010 --> 04:41.970 OK, so this is our error percent for this circuit. 04:42.450 --> 04:49.230 Now let us change the value to something else and see what will be the results. 04:49.710 --> 04:58.290 So in our next lecture, what we will do is we will use different values of L and C and then we will 04:58.290 --> 04:59.670 see what our. 04:59.700 --> 05:03.810 The error from the analytical value and the simulation value. 05:03.840 --> 05:07.770 Thanks for watching and we will join back in our next lecture.