ExpEYES/C3/Steady-state-response-of-circuits/English-timed
Time | Narration |
00:01 | Hello everyone. Welcome to this tutorial on Steady State Response of Circuits. |
00:07 | In this tutorial, we will study:
AC phase shift in RC, RL and LCR circuits. Calculate Phase shift values and Show circuit diagrams for our experiments. |
00:24 | Here, I am using:
ExpEYES version 3.1.0 Ubuntu Linux OS version 14.10. |
00:34 | To follow this tutorial, you should be familiar with:
Basic Physics and ExpEYES Junior interface. If not, for relevant tutorials in ExpEYES, please visit our website. |
00:50 | Let's first define Steady state response of a circuit. |
00:55 | Steady state response is a period of observance when a circuit is in equilibrium condition. |
01:02 | Now, we will define phase shift. Phase shift is a relative change in the phase of a waveform. |
01:10 | Let us now study AC phase shift in RC circuit. |
01:14 | In this experiment, we will measure voltage variation and phase shift in the circuit. |
01:20 | To perform this experiment,
A1 is connected to SINE. 1uF(one micro farad) capacitor is connected between SINE and A2. 1K resistor is connected between A2 and ground (GND). |
01:36 | This is the circuit diagram. |
01:40 | Let's see the result on the Plot window. |
01:44 | On the Plot window, click on A1 and drag to CH1.
A1 is assigned to CH1. |
01:54 | Click on A2 and drag to CH2.
A2 is assigned to CH2. |
02:02 | Move the mSec/div slider to obtain the Sine waves. |
02:08 | Click on EXPERIMENTS button. Select Study of AC circuits. |
02:14 | Study of AC Circuits and Schematic windows open. Schematic window shows the circuit diagram. |
02:24 | Study of AC Circuits window displays three traces with different voltages. |
02:30 | Black trace is applied voltage at A1. |
02:35 | Red trace is the voltage across the resistor. |
02:39 | Blue trace is the voltage across the capacitor. |
02:44 | On the right side of the window, we can see Phasor plot. |
02:49 | On the plot, positive X-axis represents voltage across resistor. |
02:56 | Positive Y-axis represents voltage across inductor. |
03:02 | Negative Y-axis represents voltage across capacitor. |
03:08 | Frequency of the waves is 149.4Hz.
Total voltage at A1 is 3.54V. Voltage across R at A2 is 2.50V. Voltage at A1-A2 is 2.43V. Phase Shift is 43.1 deg(degree). |
03:34 | Calculator shows default values of frequency, resistance, capacitance and inductance. |
03:44 | Change the frequency value to 149.4Hz and Inductor value to 0 mH (zero milli henry). |
03:53 | Click on Calculate XL, XC and Angle button. |
03:59 | The values of XC, XL and phase angle are displayed. XC and XL are impedences of capacitance and inductance. |
04:11 | Dphi is phase shift. Calculated Phase shift is 46.8 degrees. |
04:20 | Let us calculate phase shift value using the formula: Φ (Phase shift) = arctan(XC/XR), where XC=1/2πfC.
Here f is frequency in hertz, C is capacitance in farads. Calculated value of phase shift is 46.81 deg. |
04:48 | Now, we will study AC phase shift in RL circuit. |
04:52 | In this experiment, we will measure phase shift when capacitor is replaced by an inductor. |
04:59 | To perform this experiment, A1 is connected to SINE.
A 3000 turns coil is connected between SINE and A2. |
05:11 | 560 Ohm resistor is connected between A2 and GND. This is the circuit diagram. |
05:20 | Let's see the result on the Plot window. |
05:24 | Two sine waves are generated. |
05:27 | Click on EXPERIMENTS button, select Study of AC circuits. Study of AC Circuits window opens. |
05:38 | On the right side of the window, we can see Phasor plot. |
05:43 | You can see that Phase Shift is -2.7 deg (minus 2.7 degree). Notice the values of frequency and voltages. |
05:53 | Change the value of:
Frequency to 149.4Hz(hertz) Resistance to 1360 Ohm Capactance to 0 uF(micro farad) and inductance to 78 mH (milli henry). |
06:11 | Click on Calculate XL, XC and Angle button to view the values. Calculated phase shift is -3.1 deg(minus 3.1 degree). |
06:23 | Let us calculate phase shift value using the formula. |
06:27 | Phase shift (Φ) = arctan(XL/XR), where XL=2πfL. Here L is inductance. |
06:41 | External resistance value is 560 Ohm and resistance of the coil is 800 Ohm. Total resistance =( 560 Ohm + 800 Ohm)= 1360 Ohm.
Calculated value of the phase shift is 3.08degrees. |
07:05 | Now, we will study AC phase shift in LCR circuit. |
07:10 | We will measure phase shift when inductor & capacitor are connected in the circuit. |
07:17 | To perform this experiment, SINE is connected to A1. |
07:21 | Coil and 1 uF(1 micro farad) capacitor are connected between A1 and A2. |
07:28 | 1K resistor is connected between A2 and ground (GND). This is the circuit diagram. |
07:36 | Let's see the result on the Plot window. |
07:39 | Two sine waves are generated with a phase shift. |
07:43 | Click on EXPERIMENTS button, select Study of AC Circuits. |
07:50 | Study of AC Circuits and Schematic windows open. Schematic window shows the circuit diagram. |
07:59 | Study of AC Circuits window displays three sine waves with different voltages. |
08:06 | On right side of the window, we can see Phasor plot. |
08:11 | Frequency of the waves is 149.4Hz,
Total voltage at A1 is 3.53V, Voltage across R at A2 is 2.50V, Voltage of LC across A1-A2 is 2.42V. |
08:33 | Phase Shift is 43.1 deg(degree). |
08:37 | Change the value of:
frequency to 149.4Hz and inductance to 78mH (milli Henry). |
08:48 | Click on Calculate XL, XC and Angle button to view the values. Calculated phase shift value is 44.8 deg. |
09:00 | Let us calculate Phase shift value using the formula. |
09:04 | Phase shift Φ = arctan(XC – XL/XR). |
09:10 | External resistance value is 1000 Ohm. Calculated value of the phase shift is 44.77 degrees. |
09:20 | Let us summarize. |
09:22 | In this tutorial, we have studied-
AC phase shift in RC, RL and LCR circuits and Calculated the phase shift values. |
09:33 | As an assignment,
study AC Phase shift of RL and LCR circuits, using different resistance & capacitance values. |
09:44 | This video summarizes the Spoken Tutorial project. If you do not have good bandwidth, you can download and watch it. |
09:52 | We conduct workshops using Spoken Tutorials and give certificates. Please contact us. |
09:59 | The Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. |
10:06 | This tutorial is contributed by Kaushik Datta and Madhuri Ganapathi.Thank you for joining. |