ExpEYES/C3/Steadystateresponseofcircuits/English
Visual Cue  Narration 
Slide Number 1
Title Slide 
Hello everyone.

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Learning Objectives

In this tutorial we will study

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System Requirement

Here I am using,

Slide Number 4
Prerequisties
Basic Physics ExpEYES Junior interface. For relevant tutorials, visit our website. www.spokentutorial.org. 
To follow this tutorial, you should be familiar with:
ExpEYES Junior interface. If not, for relevant tutorials, in ExpEYES please visit our website. 
Let's first define Steady state response of a circuit.  
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Steady State Response.

Steady state response,

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Phase shift Phase shift,

Now we will define phase shift.
Phase shift,

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RC circuit Study AC phase shift in RC circuit. 
Let us now study AC phase shift in RC circuit. 
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AC phase shift Measure voltage variation and phase shift in the circuit. 
In this experiment we will measure,

Point to the picture.
Point to the circuit. 
To perform this experiment A1 is connected to SINE.

Let's see the result on the Plot window.  
Click on A1 and drag to CH1.
Point to assigned value. 
On the Plot window click on A1 and drag to CH1.

Click on A2 and drag to CH2.
Point to assigned value. 
Click on A2 and drag to CH2.

Move the mSec/div slider.  Move the mSec/div slider to obtain the Sine waves. 
Click EXPERIMENTS button, select Study of AC circuits.  Click on EXPERIMENTS button.

Point to the windows
point to the circuit diagram. 
Study of AC Circuits and Schematic windows open.

Point to the traces.  Study of AC Circuits window displays, three traces with different voltages. 
Move the cursor on the trace.  Black trace is applied total voltage at A1. 
Move the cursor on the trace.  Red trace is voltage across the resistor. 
Move the cursor on the trace.  Blue trace is voltage across the capacitor. 
Point to Phasor plot.  On right side of the window we can see Phasor plot. 
Point to positive X axis.  On the plot, positive X axis represents voltage across resistor. 
Point to positive Yaxis.  Positive Y axis represents voltage across inductor. 
Point to Negative Y axis.  Negative Y axis represents voltage across capacitor. 
Point to the voltages and phase shift.  Frequency of the waves is 149.4Hz.
Total voltage at A1 is 3.54V.

Point to the Calculator.  Calculator shows default values of:

Change frequency and Inductor values.  Change frequency value to 149.4Hz and Inductor value to 0(zero) mH(milli henry). 
Click Calculate XL, XC and Angle button.

Click on Calculate XL, XC and Angle button.
Dphi is phase shift.

Let us calculate Phase shift value using the formula.  
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Phase Shift
f=149.4Hz C=1*10^{6}farad, X_{R}=R=1000 Ohm Xc=1/(2*22/7*149.4*1*10^{6)} Xc=1065.16 Φ =arctan(X_{c}/X_{R}) Φ =tan⁻¹(1065.16÷1000) Φ = 46.81deg 
Phase shift Φ =arctan(X_{C}/X_{R}), where X_{C}=1/2πfC.

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RL Circuit Study AC phase shift in RL circuit. 
Now we will study AC phase shift in RL circuit. 
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AC phase shift

In this experiment, we will measure

Show the Picture.

To perform this experiment A1 is connected to SINE.

Let's see the result on the Plot window.  
Point to the waves.  Two sine waves are generated. 
Click EXPERIMENTS button, select Study of AC circuits.

Click on EXPERIMENTS button, select Study of AC circuits.

Point to Phasor plot.  On right side of the window we can see Phasor plot. 
Point to the voltages and phase shift.  You can see that Phase Shift is 2.7 deg(minus 2.7 degree).

Change the frequency, resitance values.  Change the value of:

Click on Calculate XL, XC and Angle button.
Point to the values. 
Click on Calculate XL, XC and Angle button to view the values.

Let us calculate phase shift value using the formula.  
Slide Number 12.
Phase Shift Phase shift Φ =arctan(X_{L}/X_{R}), where X_{L}=2πfL X_{L}=2×3.142×149.4x(78/1000) X_{L}=73.23 Φ=arctan(73.23÷1360) Φ=3.08deg. 
Phase shift Φ =arctan(X_{L}/X_{R}), where X_{L}=2πfL.
Here L is inductance External resistance value is 560 Ohm and resistance of the coil is 800 Ohm.

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LCR Circuit Study AC phase shift in LCR circuit 
Now we will study AC phase shift in LCR circuit. 
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AC phase shift Measure phase shift when inductor & capacitor are connected the circuit. 
We will measure phase shift when,

Show the picture.

To perform this experiment SINE is connected to A1.

Let's see the result on the Plot window.  
Point to the waves.  Two sine waves are generated with a phase shift. 
Click EXPERIMENTS button, select Study of AC Circuits.  Click on EXPERIMENTS button, select Study of AC Circuits. 
Point to the windows

Study of AC Circuits and Schematic windows open.
Schematic window shows the circuit diagram. 
Point to the waves.  Study of AC Circuits window displays three sine waves with different voltages. 
Point to Phasor plot.  On right side of the window we can see Phasor plot. 
Point to the voltages and phase shift.  Frequency of the waves is 149.4Hz.
Total voltage at A1 is 3.53V Voltage across R at A2 is 2.50V.

Change frequency and inductance values.  Change the value of:

Click on Calculate XL, XC and Angle button.
Point to the values. 
Click on Calculate XL, XC and Angle button to view the values.

Let us calculate Phase shift value using the formula.  
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Phase shift Phase shift Φ =arctan{(X_{C }– X_{L}/X_{R})}.
Φ=arctan(0.9921) Φ=44.77 deg 
Phase shift Φ =arctan(X_{C }– X_{L}/X_{R}).

Let us summarize.  
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Summary

In this tutorial we have studied,

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Assignment

As an assignment,
Study AC Phase shift of:

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Acknowledgement Watch the video available at /What is a Spoken Tutorial It summarises the Spoken Tutorial project. If you do not have good bandwidth, you can download and watch it. 
* This video summarises the Spoken Tutorial project

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The Spoken Tutorial Project Team Conducts workshops using spoken tutorials Gives certificates to those who pass an online test For more details, please write to contact@spokentutorial.org 
* We conduct workshops using Spoken Tutorials and give certificates.

Slide number 20
Spoken Tutorial Project is a part of the Talk to a Teacher project It is supported by the National Mission on Education through ICT, MHRD, Government of India More information on this Mission is available at /NMEICTIntro 
The Spoken Tutorial Project is funded by NMEICT, MHRD Government of India. 
This tutorial is contributed by Kaushik Datta and Madhuri Ganapathi.
Thank you for joining. 