ExpEYES/C3/Steady-state-response-of-circuits/English-timed

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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.

Contributors and Content Editors

Pratik kamble, Sandhya.np14