Madhurig: Created page with "{| border=1 ||'''Visual Cue''' ||'''Narration''' |- ||'''Slide Number 1''' '''Title Slide''' || Hello everyone. Welcome to this tutorial on '''Steady State Response of Circ..."

2015-10-29T06:06:38Z

Created page with "{| border=1 ||'''Visual Cue''' ||'''Narration''' |- ||'''Slide Number 1''' '''Title Slide''' || Hello everyone. Welcome to this tutorial on '''Steady State Response of Circ..."

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{| border=1
||'''Visual Cue'''
||'''Narration'''
|-
||'''Slide Number 1'''

'''Title Slide'''
|| Hello everyone.

Welcome to this tutorial on '''Steady State Response of Circuits'''.
|-
|| '''Slide Number 2'''

'''Learning Objectives'''

* '''AC phase shift '''in: '''RC, RL''' and '''LCR''' Circuits.

* Calculate '''Phase shift''' values

* Show circuit diagrams
|| 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.
|-
|| '''Slide Number 3'''

'''System Requirement'''

* '''ExpEYES''' v 3.1.0

* '''Ubuntu Linux''' OS v 14.10
|| Here I am using,

* '''ExpEYES '''version 3.1.0

* '''Ubuntu Linux''' OS version 14.10
|-
|| '''Slide Number 4'''

'''Pre-requisties'''

You should be familiar with:

'''Basic Physics'''

'''ExpEYES Junior''' interface.

For relevant tutorials, visit our website.

'''www.spoken-tutorial.org'''.
|| 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.
|-
||
||Let's first define '''Steady state response''' of a circuit.
|-
|| '''Slide Number 5'''

'''Steady State Response'''.

'''Steady state response''',

* is a period of observance when a circuit is in equilibrium condition.
||'''Steady state response''',

* is a period of observance when a circuit is in equilibrium condition.
|-
|| '''Slide Number 6'''

'''Phase shift'''

'''Phase shift''',

* is a relative change in the phase of a waveform.
|| Now we will define '''phase shift'''.

'''Phase shift''',

* is a relative change in the phase of a waveform.
|-
|| '''Slide Number 7'''

'''RC circuit'''

Study '''AC phase shift''' in '''RC circuit'''.
|| Let us now study '''AC phase shift''' in '''RC''' circuit.
|-
|| '''Slide Number 8'''

'''AC phase shift'''

Measure voltage variation and '''phase shift''' in the circuit.
|| In this experiment we will measure,

* voltage variation and '''phase shift''' in the circuit.
|-
||Point to the picture.

Point to the circuit.
|| 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)'''.

This is the circuit diagram.
|-
||
|| 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'''.

'''A1''' is assigned to '''CH1'''.

|-
|| Click on '''A2''' and drag to '''CH2'''.

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

'''A2''' is assigned 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.

Select '''Study of AC circuits'''.

|-
|| Point to the windows

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

'''Schematic''' window shows the circuit diagram.
|-
|| 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'''.

Voltage across '''R''' at '''A2''' is '''2.50V'''.

Voltage at '''A1-A2''' is '''2.43V'''.

'''Phase Shift''' is '''43.1 deg'''(degree).

|-
|| Point to the '''Calculator'''.
|| '''Calculator''' shows default values of:

* frequency

* resistance

* capacitance and

* inductance.
|-
|| 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.

Point to '''XL, XC ''' and '''Dphi'''.
|| Click on '''Calculate XL, XC and Angle''' button.

The values of '''XC, XL''' and '''phase angle ''' are displayed.

'''XC''' and '''XL''' are '''Impedences of '''capacitance''' and '''inductance'''.

'''Dphi''' is '''phase shift'''.

Calculated '''Phase shift''' is '''46.8deg'''.
|-
||
|| Let us calculate '''Phase shift''' value using the formula.
|-
|| '''Slide Number 9'''

'''Phase Shift'''

'''Phase shift Φ =arctan(Xc/XR)''', where '''Xc=1/(2πfC)'''

f=149.4Hz

C=1*10-6farad, XR<nowiki>=R=1000 Ohm</nowiki>

Xc<nowiki>=1/(2*22/7*149.</nowiki>4<nowiki>*1*10</nowiki>-6)

Xc<nowiki>=1065.</nowiki>16

Φ =arctan(Xc/XR)

Φ <nowiki>=tan⁻¹(1065.</nowiki>16÷1000)

Φ <nowiki>= 46.8</nowiki>1deg
|| '''Phase shift''' Φ '''<nowiki>=arctan(X</nowiki>C/XR)''', where '''XC<nowiki>=1/2πfC.</nowiki>'''

Here '''f''' is frequency in hertz, '''C''' is capacitance in farads.

Calculated value of phase shift is '''46.81deg'''.
|-
|| '''Slide Number 10'''

'''RL Circuit'''

Study '''AC phase shift''' in '''RL circuit'''.
|| Now we will study '''AC phase shift''' in '''RL circuit'''.
|-
|| '''Slide Number 11'''

'''AC phase shift'''

Measure ''' phase shift''' when capacitor is replaced by an inductor.
|| In this experiment, we will measure

* '''phase shift''' when capacitor is replaced by an inductor.
|-
|| Show the Picture.

Point to the circuit diagram.
|| To perform this experiment '''A1''' is connected to '''SINE'''.

A 3000 turns coil is connected between '''SINE''' and '''A2'''.

'''560 Ohm''' resistor is connected between '''A2''' and '''GND'''.

This is the circuit diagram.
|-
||
|| 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'''.

Point to the window.
|| Click on '''EXPERIMENTS''' button, select '''Study of AC circuits'''.

'''Study of AC Circuits''' window opens.
|-
|| 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).

Notice the values of frequency and voltages.
|-
|| Change the frequency, resitance values.
|| 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)'''.
|-
|| Click on '''Calculate XL, XC and Angle''' button.

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

Calculated phase shift value is '''-3.1deg'''(minus 3.1 degree).
|-
||
|| Let us calculate '''phase shift''' value using the formula.
|-
|| '''Slide Number 12.'''

'''Phase Shift'''

'''Phase shift''' Φ =arctan(XL/XR), where XL<nowiki>=2πfL</nowiki>

XL<nowiki>=2×3.142×149.4x(78/1000)</nowiki>

XL<nowiki>=</nowiki>73.23

Φ<nowiki>=arctan(</nowiki>73.23÷1360)

Φ<nowiki>=3.</nowiki>08deg.
|| '''Phase shift''' Φ '''<nowiki>=arctan(X</nowiki>L/XR)''', where '''XL<nowiki>=2πfL</nowiki>'''.

Here L is inductance

External resistance value is '''560 Ohm''' and resistance of the coil is '''800 Ohm'''.

Total resistance=( 560 Ohm+800 Ohm)<nowiki>=1360 Ohm.</nowiki>

Calculated value of the''' phase shift '''is''' 3.08deg'''
|-
|| '''Slide Number 13 '''

'''LCR Circuit'''

Study '''AC phase shift''' in '''LCR circuit'''
|| Now we will study '''AC phase shift ''' in '''LCR circuit'''.
|-
|| '''Slide Number 14'''

'''AC phase shift'''

Measure '''phase shift''' when inductor & capacitor are connected the circuit.
|| We will measure phase shift when,

* inductor & capacitor are connected in the circuit.
|-
|| Show the picture.

Point to the circuit diagram.
|| To perform this experiment ''' SINE '''is connected to '''A1.'''

Coil and '''1 uF(1micro farad)''' capacitor are connected between '''A1 ''' and '''A2'''.

'''1K''' resistor is connected between '''A2''' and ground '''(GND)'''.

This is the circuit diagram.
|-
||
|| 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

point to the circuit diagram.
|| '''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'''.

Voltage of''' LC''' across '''A1-A2''' is '''2.42V'''.

Phase Shift '''43.1 deg'''(degree).
|-
||Change frequency and inductance values.
|| Change the value of:

* frequency to '''149.4Hz ''' and

* inductance to '''78mH(milli Henry)'''.
|-
|| Click on '''Calculate XL, XC and Angle''' button.

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

Calculated phase shift value is '''44.8 deg'''.
|-
||
|| Let us calculate '''Phase shift''' value using the formula.
|-
|| '''Slide Number 15'''

'''Phase shift'''

'''Phase shift Φ =arctan{(XC – XL/XR)}'''.

Φ=arctan{ (1065.3-73.2)÷1000}

Φ=arctan(0.9921)

Φ=44.77 deg
|| '''Phase shift Φ =arctan(XC – XL/XR)'''.

External resistance value is 1000 Ohm.

Calculated value of the '''phase shift ''' is '''44.77 deg'''.

|-
||
|| Let us summarize.
|-
|| '''Slide Number 16'''

'''Summary'''

* AC phase shift in: RC, RL and LCR circuits

* Calculated the Phase shift values.
|| In this tutorial we have studied,

* AC phase shift in: RC, RL and LCR circuits and

* Calculated the Phase shift values.
|-
|| '''Slide Number 17'''

'''Assignment'''

Study AC Phase shift of:

* RL and LCR circuits, using different resistance & capacitance values.
|| As an assignment,

Study AC Phase shift of:

* RL and LCR circuits, using different Resistance & capacitance values.
|-
|| '''Slide Number 18'''

'''Acknowledgement '''

Watch the video available at

http://spoken-tutorial.org

/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

* If you do not have good bandwidth, you can download and watch it.
|-
|| '''Slide Number 19'''

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@spoken-tutorial.org'''
|| * We conduct workshops using Spoken Tutorials and give certificates.

* Please contact us.
|-
|| '''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

'''http://spoken-tutorial.org'''

'''/NMEICT-Intro'''
|| 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.

|}

ExpEYES/C3/Steady-state-response-of-circuits/English - Revision history

Madhurig: Created page with "{| border=1 ||'''Visual Cue''' ||'''Narration''' |- ||'''Slide Number 1''' '''Title Slide''' || Hello everyone. Welcome to this tutorial on '''Steady State Response of Circ..."