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

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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=R=1000 Ohm

Xc=1/(2*22/7*149.4*1*10-6)

Xc=1065.16

Φ =arctan(Xc/XR)

Φ =tan⁻¹(1065.16÷1000)

Φ = 46.81deg

Phase shift Φ =arctan(XC/XR), where XC=1/2πfC.


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


Calculated value of phase shift is 46.81deg.

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=2πfL

XL=2×3.142×149.4x(78/1000)

XL=73.23

Φ=arctan(73.23÷1360)

Φ=3.08deg.

Phase shift Φ =arctan(XL/XR), where XL=2πfL.

Here L is inductance

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 3.08deg

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.

Contributors and Content Editors

Madhurig