Difference between revisions of "PhET-Simulations-for-Physics/C3/Simple-AC-Circuits/English"

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(Created page with " '''Title of the Tutorial: '''Simple AC Circuits '''Author:''' Dr. Jagdish Kaur and Muskaandeep Kaur '''Keywords:''' PhET, AC voltage, resistor, capacitor, inductor, capaci...")
 
 
(2 intermediate revisions by the same user not shown)
Line 22: Line 22:
 
'''Learning Objectives'''
 
'''Learning Objectives'''
 
|| In this tutorial we will learn to,
 
|| In this tutorial we will learn to,
 +
 
* Build simple AC circuits
 
* Build simple AC circuits
 
* Find the phase relation between voltage and current for different AC circuits
 
* Find the phase relation between voltage and current for different AC circuits
Line 31: Line 32:
 
|| This tutorial is recorded using,
 
|| This tutorial is recorded using,
 
* Windows 11
 
* Windows 11
−
* Google Chrome v 123.0.63
+
* Google Chrome version 123.0.63
 
|-
 
|-
 
|| '''Slide Number 4'''
 
|| '''Slide Number 4'''
  
 
'''Pre-requisites'''
 
'''Pre-requisites'''
−
|| To follow this tutorial,Learners should be familiar with topics in  
+
|| To follow this tutorial, Learners should be familiar with topics in  
 
* Basic science
 
* Basic science
 
* Simple AC Components
 
* Simple AC Components
Line 57: Line 58:
  
 
'''Capacitive Reactance'''
 
'''Capacitive Reactance'''
 +
 +
X<sub>C</sub> = <math>\frac{1}{2\mathit{\pi \nu C}</math>
 
|| Capacitive reactance (X<sub>C</sub>).
 
|| Capacitive reactance (X<sub>C</sub>).
 
* It is the opposition offered by a capacitor to the change in current.
 
* It is the opposition offered by a capacitor to the change in current.
 
* It depends inversely on the frequency of the ac source.
 
* It depends inversely on the frequency of the ac source.
−
* X<sub>C</sub> = <math>\frac{1}{2\mathit{\pi \nu C}</math>
+
* Unit of Capacitive reactance(X<sub>C </sub>) is ohm.
−
 
+
−
Unit of X<sub>C </sub>is ohm.
+
 
|-
 
|-
 
|| '''Slide Number 8'''
 
|| '''Slide Number 8'''
Line 75: Line 76:
 
X<sub>L</sub> = 2πνL
 
X<sub>L</sub> = 2πνL
  
−
Unit of X<sub>L </sub>is ohm.
+
Unit of Inductive reactance(X<sub>L </sub>) is ohm.
 
|-
 
|-
 
|| '''Slide Number 9'''
 
|| '''Slide Number 9'''
Line 82: Line 83:
  
 
[https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab]
 
[https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab]
−
|| In this tutorial we will use '''Circuit Construction Kit AC: Virtual Lab''' '''PhET simulation'''.
+
 
 +
|| In this tutorial we will use '''Circuit Construction Kit AC: Virtual Lab PhET simulation'''.
  
 
Please use the given link to download the simulation.
 
Please use the given link to download the simulation.
  
−
[https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab]
+
 
 
|-
 
|-
 
|| Point to the simulations in the''' Downloads folder.'''
 
|| Point to the simulations in the''' Downloads folder.'''
  
 
'''Circuit Construction Kit AC: Virtual Lab'''
 
'''Circuit Construction Kit AC: Virtual Lab'''
−
|| I have already downloaded the '''simulation '''to my '''Downloads '''folder.
+
|| I have already downloaded the '''simulation ''' to my '''Downloads '''folder.
 
|-
 
|-
 
|| '''Point to&nbsp;Circuit Construction Kit AC: Virtual Lab Simulation.'''
 
|| '''Point to&nbsp;Circuit Construction Kit AC: Virtual Lab Simulation.'''
 
|| Let us begin.
 
|| Let us begin.
 
|-
 
|-
−
|| '''Right-click on&nbsp;Circuit Construction Kit AC: Virtual Lab Simulation_en.html file.'''
+
|| '''Click on&nbsp;Circuit Construction Kit AC: Virtual Lab Simulation_en.html file.'''
  
−
Select&nbsp;'''Open with Google Chrome '''option.
 
  
 
Point to the browser address.
 
Point to the browser address.
−
|| To open the simulation, right-click on '''Circuit Construction Kit AC: Virtual Lab Simulation _en.html '''file.
+
|| To open the simulation, click on '''Circuit Construction Kit AC: Virtual Lab html ''' file.
 +
 
  
−
Select the option '''Open with Google Chrome'''. The file opens in the browser.
 
 
|-
 
|-
 
|| '''Point to the simulation interface.'''
 
|| '''Point to the simulation interface.'''
Line 121: Line 122:
 
|-
 
|-
 
|| '''Drag an ammeter'''
 
|| '''Drag an ammeter'''
−
|| Attach ammeter in series with the resistor by using wire.
+
|| Attach ammeter in series to the resistor using a connecting wire.
 
|-
 
|-
 
|| '''Drag a light bulb and wire.'''
 
|| '''Drag a light bulb and wire.'''
−
|| Let’s attach a light bulb in series to the resistor using a connecting wire.
+
|| Let’s attach a light bulb in series to the ammeter using a wire.
 
|-
 
|-
 
|| '''Point on the AC Voltage source and attached it to the resistor'''
 
|| '''Point on the AC Voltage source and attached it to the resistor'''
−
|| Other end of the resistor is connected to the AC Voltage source using a wire.  
+
||The other end of the resistor is connected to AC Voltage source using wires.  
  
 
Here resistor is connected to AC Voltage source in parallel connection.
 
Here resistor is connected to AC Voltage source in parallel connection.
 
|-
 
|-
 
|| '''Click on the AC Voltage'''
 
|| '''Click on the AC Voltage'''
−
|| By default, AC voltage value is 9 V and its frequency is 0.50 Hz.
+
|| By default, AC voltage value is 9 Volts and its frequency is 0.50 Hz.
 
|-
 
|-
 
|| '''Point on the switch and attached with the AC Voltage source.'''
 
|| '''Point on the switch and attached with the AC Voltage source.'''
−
|| Let’s drag a switch and attach it in series with the AC Voltage source.  
+
|| Let’s drag a switch and attach it in series to the AC Voltage source using a wire.  
 
|-
 
|-
 
|| '''Drag wires and attached in the circuit.'''
 
|| '''Drag wires and attached in the circuit.'''
  
 
'''Click on the Values check box on the right panel '''
 
'''Click on the Values check box on the right panel '''
−
|| The circuit is completed by connecting wires in between switch and light bulb.
+
|| The connection is completed by connecting wires between the switch and the light bulb.
  
−
Click on the '''Values''' check box on the right, to display value of each component.
+
Click on the '''Values''' check box on the right, to display the value of each component.
 
|-
 
|-
 
|| '''Single click on the switch'''
 
|| '''Single click on the switch'''
Line 151: Line 152:
 
|-
 
|-
 
|| Only Narration
 
|| Only Narration
−
|| Now we will find the phase relation between voltage and current for a resistor.
+
|| Now we will find the phase relation between voltage and current for resistor.
 
|-
 
|-
 
|| '''Click on the Pause button'''
 
|| '''Click on the Pause button'''
Line 160: Line 161:
 
|-
 
|-
 
|| '''Drag Current chart'''
 
|| '''Drag Current chart'''
−
|| Drag Current Chart and place its terminal (probe) on the resistor.  
+
|| Drag Current Chart and place its terminal (probe) near the ammeter.  
 
|-
 
|-
 
|| '''Click on Play button'''
 
|| '''Click on Play button'''
Line 187: Line 188:
  
 
'''Click on the capacitor'''
 
'''Click on the capacitor'''
−
|| Drag a capacitor from the circuit components.  
+
|| Drag a capacitor from the circuit component.  
  
 
Place the capacitor at the same position as the resistor.
 
Place the capacitor at the same position as the resistor.
  
−
By default, capacitance of the capacitor is 0.10 F.
+
By default, the capacitance of the capacitor is 0.10 F.
 
|-
 
|-
 
|| '''Click on Play button'''
 
|| '''Click on Play button'''
Line 213: Line 214:
  
 
'''Capacitive reactance'''
 
'''Capacitive reactance'''
 +
 +
X<sub>C </sub><nowiki>= </nowiki><math>\frac{1}{2\mathit{\pi \nu C}}</math><nowiki>=</nowiki><math>\frac{1}{2\times 3.14\times 0.5\times 0.1}</math>
 +
* X<sub>C </sub><nowiki> = 3.18 Ω</nowiki>
 
||
 
||
 
* The frequency of AC voltage source is 0.5 Hz.
 
* The frequency of AC voltage source is 0.5 Hz.
 
* Capacitance of the capacitor is 0.1 F.
 
* Capacitance of the capacitor is 0.1 F.
−
* X<sub>C </sub><nowiki>= </nowiki><math>\frac{1}{2\mathit{\pi \nu C}}</math><nowiki>=</nowiki><math>\frac{1}{2\times 3.14\times 0.5\times 0.1}</math>
+
* '''Capacitive reactance''' is 3.18 Ω.
−
* X<sub>C </sub><nowiki>= 3.18 Ω</nowiki>
+
 
|-
 
|-
 
|| '''Click on the pause button'''
 
|| '''Click on the pause button'''
Line 225: Line 228:
 
|| Now, we will attach the probes of voltage chart and current chart to the capacitor.
 
|| Now, we will attach the probes of voltage chart and current chart to the capacitor.
 
|-
 
|-
−
|| '''Click on the play radio button'''
+
|| Click on the play radio button.
 
|| Now play the simulation.
 
|| Now play the simulation.
 
|-
 
|-
Line 240: Line 243:
 
|-
 
|-
 
|| Drag the probes of the voltage chart and current chart close to the charts.
 
|| Drag the probes of the voltage chart and current chart close to the charts.
−
|| Drag the probes of the voltage chart and current chart to their default positions.
+
|| Drag the probes of voltage chart and current chart to their default position.
 
|-
 
|-
 
|| Point to the information box.
 
|| Point to the information box.
Line 247: Line 250:
 
In the capacitor edit box click on the delete icon to delete the capacitor.
 
In the capacitor edit box click on the delete icon to delete the capacitor.
 
|-
 
|-
−
|| '''Click on the inductor and drag in the interface'''
+
|| Click on the inductor and drag in the interface.
 
|| Now, drag an inductor from the given components.  
 
|| Now, drag an inductor from the given components.  
  
Line 254: Line 257:
 
By default, inductance of the inductor is 5 H.
 
By default, inductance of the inductor is 5 H.
 
|-
 
|-
−
|| '''Click on Play button'''
+
|| Click on Play button
 
|| Now Play the simulation.
 
|| Now Play the simulation.
 
|-
 
|-
Line 263: Line 266:
  
 
'''Inductive Reactance '''
 
'''Inductive Reactance '''
 +
 +
X<sub>L </sub><nowiki>= 2πνL = 2 × 3.14 × 0.5 × 5 = 15.7 Ω</nowiki>
 
||  
 
||  
 
* The frequency of AC voltage source is 0.5 Hz.
 
* The frequency of AC voltage source is 0.5 Hz.
 
* Inductance of the inductor is 5 H
 
* Inductance of the inductor is 5 H
−
* X<sub>L </sub><nowiki>= 2πνL = 2 × 3.14 × 0.5 × 5 = 15.7 Ω</nowiki>
+
* '''Inductive Reactance ''' is 15.7 Ω
 +
 
 
|-
 
|-
 
|| '''Click on the pause button'''
 
|| '''Click on the pause button'''
Line 274: Line 280:
 
|| Now, we will attach the probes of voltage chart and current chart to the inductor.
 
|| Now, we will attach the probes of voltage chart and current chart to the inductor.
 
|-
 
|-
−
|| '''Click on the play radio button'''
+
|| Click on the play radio button.
 
|| Now play the simulation.
 
|| Now play the simulation.
 
|-
 
|-
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'''Series AC Circuits'''
 
'''Series AC Circuits'''
−
|| '''Series AC Circuits'''
+
 
−
* In AC Circuits resistor, capacitor and inductor are connected in series.
+
Z = <math>\sqrt{\mathrm{❑}}</math>
−
* The '''impedance (Z)''' is the total opposition to the flow of current in the AC circuit.
+
−
* Z = <math>\sqrt{\mathrm{❑}}</math>
+
 
* For, LC circuit, R = 0  
 
* For, LC circuit, R = 0  
 
* RC circuit, X<sub>L</sub><nowiki>= 0 and </nowiki>LR circuit, X<sub>C</sub><nowiki>= 0</nowiki>
 
* RC circuit, X<sub>L</sub><nowiki>= 0 and </nowiki>LR circuit, X<sub>C</sub><nowiki>= 0</nowiki>
 +
|| '''Series AC Circuits'''
 +
* In AC Circuits, resistor, capacitor and inductor are connected in series.
 +
* The '''impedance (Z)''' is the total opposition to the flow of current in the AC circuit.
 +
* For LC circuit R=0.
 +
* RC circuit Inductive reactance = 0 and
 +
* LR circuit Capacitive reactance =0
 
|-
 
|-
 
|| '''Click on Refresh button'''
 
|| '''Click on Refresh button'''
Line 301: Line 311:
 
|-
 
|-
 
|| '''Point to the Capacitor'''
 
|| '''Point to the Capacitor'''
−
|| Now, drag a '''capacitor''' and attach it in series with the resistor.
+
|| Now, drag a '''capacitor''' and attach it in series to the resistor.
 
|-
 
|-
 
|| '''Point to the ammeter'''
 
|| '''Point to the ammeter'''
−
|| Drag an ammeter and attach it in series with the capacitor.
+
|| Drag an ammeter and attach it in series to the capacitor using a connecting wire.
 
|-
 
|-
 
|| '''Click on the AC Voltage'''
 
|| '''Click on the AC Voltage'''
−
|| Other end of the resistor is connected to the AC Voltage source in parallel using a wire.  
+
|| Other end of the resistor is connected to the AC Voltage source in parallel using connecting  wires.  
 
|-
 
|-
 
|| '''Point on the switch and attached with the AC Voltage source.'''
 
|| '''Point on the switch and attached with the AC Voltage source.'''
−
|| Drag a switch and attach it in series with the AC Voltage source.  
+
|| Drag a switch and attach it in series to the AC Voltage source using wire.  
 
|-
 
|-
 
|| '''Point to the wire'''
 
|| '''Point to the wire'''
−
|| Close the circuit by attaching a wire between switch and ammeter
+
|| The circuit is completed by attaching wire between switch and the ammeter.
 
|-
 
|-
 
|| '''Single click on the switch'''
 
|| '''Single click on the switch'''
−
|| Now, close the switch by clicking on it. Current starts flowing through the circuit.  
+
|| Now, close the switch by clicking on it.  
 +
 
 +
The Current starts flowing through the circuit.  
 
|-
 
|-
−
|| '''Click on the Pause button'''
+
||Click on the Pause button
 
|| Pause the simulation
 
|| Pause the simulation
 
|-
 
|-
−
|| '''Drag Voltage Chart'''
+
|| Drag Voltage Chart.
 
|| Drag Voltage Chart and attach its terminals (probes) across the ends of the resistor and capacitor.
 
|| Drag Voltage Chart and attach its terminals (probes) across the ends of the resistor and capacitor.
 
|-
 
|-
−
|| '''Drag Current Chart'''
+
|| Drag Current Chart.
−
|| Drag Current chart and place its terminal on the ammeter.
+
|| Drag Current chart and place its terminal across  the ammeter.
 
|-
 
|-
−
|| '''Click on the play radio button'''
+
|| Click on the play radio button.
 
|| Now play the simulation.
 
|| Now play the simulation.
 
|-
 
|-
Line 344: Line 356:
  
 
'''Impedance of RC circuit'''
 
'''Impedance of RC circuit'''
 +
X<sub>C </sub><nowiki>= 3.18 Ω</nowiki>
 +
* Impedance (Z) =<math>\sqrt{\mathrm{❑}}</math><nowiki>= 4.48 Ω</nowiki>
 
||  
 
||  
 
* The resistance of the resistor is 10 Ω.
 
* The resistance of the resistor is 10 Ω.
 
* The capacitance is 0.10 F.
 
* The capacitance is 0.10 F.
−
* Capacitive reactance, X<sub>C </sub><nowiki>= 3.18 Ω</nowiki>
+
* Capacitive reactance is 3.18 Ω.
−
* Impedance (Z) =<math>\sqrt{\mathrm{❑}}</math><nowiki>= 4.48 Ω</nowiki>
+
* Impedance is 4.48 Ω
 
|-
 
|-
 
|| Only Narration.
 
|| Only Narration.
Line 368: Line 382:
 
|| As an assignment
 
|| As an assignment
 
* Change the frequency of the AC voltage source to 0.75 hertz and 1.0 hertz,  
 
* Change the frequency of the AC voltage source to 0.75 hertz and 1.0 hertz,  
−
* find capacitive reactance and inductive reactance at these frequencies.
+
* Find capacitive reactance and inductive reactance at these frequencies.
 
* Find the phase relation between voltage and current for:
 
* Find the phase relation between voltage and current for:
 
* Series LC circuit  
 
* Series LC circuit  
Line 383: Line 397:
  
 
'''Spoken Tutorial workshops'''
 
'''Spoken Tutorial workshops'''
−
|| The '''Spoken Tutorial Project '''team, conducts workshops and gives certificates.
+
|| The '''Spoken Tutorial Project '''team, conducts workshops using spoken tutorials.
 +
Gives certificates to those who pass online test.
  
−
For more details, please write to us.
+
For more details, please write to contact@spoken-tutorial.org.
 
|-
 
|-
 
|| '''Slide Number 18'''
 
|| '''Slide Number 18'''
Line 400: Line 415:
  
 
Thank You.
 
Thank You.
−
|| This tutorial is contributed by Dr. Jagdish Kaur and Muskandeep Kaur from DAV College Amritsar.
+
|| This tutorial is contributed by Dr. Jagdish Kaur and Amardeep Kaur from DAV College Amritsar.
  
 
Thank you for joining.
 
Thank you for joining.
 
|-
 
|-
 
|}
 
|}

Latest revision as of 16:01, 31 January 2025


Title of the Tutorial: Simple AC Circuits

Author: Dr. Jagdish Kaur and Muskaandeep Kaur

Keywords: PhET, AC voltage, resistor, capacitor, inductor, capacitive reactance, inductive reactance, video tutorial.


Visual Cue Narration
Slide Number 1

Title Slide

Welcome to this Spoken tutorial on Simple AC Circuits
Slide Number 2

Learning Objectives

In this tutorial we will learn to,
  • Build simple AC circuits
  • Find the phase relation between voltage and current for different AC circuits
  • Calculate capacitive reactance and inductive reactance of the circuits.
Slide Number 3

System Requirements

This tutorial is recorded using,
  • Windows 11
  • Google Chrome version 123.0.63
Slide Number 4

Pre-requisites

To follow this tutorial, Learners should be familiar with topics in
  • Basic science
  • Simple AC Components
Slide Number 5

Alternating Current

Now let’s define alternating current,

Magnitude of AC current changes continuously with time, and its direction reverses periodically.

Slide Number 6

Alternating Current

Alternating Current can be represented by Sine or Cosine curve.
  • I=Io Sin ωt or
  • I=Io Cos ωt
Slide Number 7

Capacitive Reactance

XC = <math>\frac{1}{2\mathit{\pi \nu C}</math>

Capacitive reactance (XC).
  • It is the opposition offered by a capacitor to the change in current.
  • It depends inversely on the frequency of the ac source.
  • Unit of Capacitive reactance(XC ) is ohm.
Slide Number 8

Inductive Reactance

Inductive reactance (XL)

It is the opposition offered by an inductor to the change in current.

It varies directly with the frequency of the ac source.

XL = 2πνL

Unit of Inductive reactance(XL ) is ohm.

Slide Number 9

Links for PhET simulations

https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac-virtual-lab

In this tutorial we will use Circuit Construction Kit AC: Virtual Lab PhET simulation.

Please use the given link to download the simulation.


Point to the simulations in the Downloads folder.

Circuit Construction Kit AC: Virtual Lab

I have already downloaded the simulation to my Downloads folder.
Point to Circuit Construction Kit AC: Virtual Lab Simulation. Let us begin.
Click on Circuit Construction Kit AC: Virtual Lab Simulation_en.html file.


Point to the browser address.

To open the simulation, click on Circuit Construction Kit AC: Virtual Lab html file.


Point to the simulation interface. This is the interface of Circuit construction Kit: AC Virtual Lab simulation.
Point to the left side of Circuit elements On the left side of the interface, we can see a list of circuit elements.
Drag a Resistor.

Click on the Resistor

Point to the value of resistance.

Let’s add a resistor to the interface.

By default, Resistance of the resistor is 10 ohms.

Drag an ammeter Attach ammeter in series to the resistor using a connecting wire.
Drag a light bulb and wire. Let’s attach a light bulb in series to the ammeter using a wire.
Point on the AC Voltage source and attached it to the resistor The other end of the resistor is connected to AC Voltage source using wires.

Here resistor is connected to AC Voltage source in parallel connection.

Click on the AC Voltage By default, AC voltage value is 9 Volts and its frequency is 0.50 Hz.
Point on the switch and attached with the AC Voltage source. Let’s drag a switch and attach it in series to the AC Voltage source using a wire.
Drag wires and attached in the circuit.

Click on the Values check box on the right panel

The connection is completed by connecting wires between the switch and the light bulb.

Click on the Values check box on the right, to display the value of each component.

Single click on the switch Now, close the switch by clicking on it.
Observe the intensity of light bulb We observe that intensity of light bulb is varying due to AC voltage source.
Only Narration Now we will find the phase relation between voltage and current for resistor.
Click on the Pause button Pause the simulation
Drag Voltage Chart Drag Voltage Chart and attach its terminals (probes) across the ends of the resistor.
Drag Current chart Drag Current Chart and place its terminal (probe) near the ammeter.
Click on Play button Play the simulation.
Point to the graphs in the charts. It is observed that current and voltage peak at the same time.

This indicates that Voltage and current are in phase.

Click on the Pause button Pause the simulation
Only Narration Now, we will find the phase relation between voltage and current for a capacitor.
Drag the probes of the voltage chart and current chart close to the charts. Drag the probes of the voltage chart and current chart to their default positions.
Point to the information box. In the circuit click on resistor component.

In the resistance edit box click on the delete icon to delete the resistance.

Drag a capacitor

Click on the capacitor

Drag a capacitor from the circuit component.

Place the capacitor at the same position as the resistor.

By default, the capacitance of the capacitor is 0.10 F.

Click on Play button Now Play the simulation.
Point to the capacitor Observe the changing red and blue charges on the plates of capacitor.

These indicate the charging and discharging of the capacitor.

Point to the light bulb The intensity of light bulb is changing due to AC voltage source.
Click on the AC Voltage source and Point to the frequency Click on the AC Voltage source and note the frequency.
Point to the values of capacitance and frequency on the interface. Let us calculate Capacitive reactance using frequency and capacitance values.
Slide Number 10

Capacitive reactance

XC = <math>\frac{1}{2\mathit{\pi \nu C}}</math>=<math>\frac{1}{2\times 3.14\times 0.5\times 0.1}</math>

  • XC = 3.18 Ω
  • The frequency of AC voltage source is 0.5 Hz.
  • Capacitance of the capacitor is 0.1 F.
  • Capacitive reactance is 3.18 Ω.
Click on the pause button Pause the simulation.
Point to the voltage and current chart Now, we will attach the probes of voltage chart and current chart to the capacitor.
Click on the play radio button. Now play the simulation.
Point to the graphs in the charts. Observe the graphs in the charts, A phase change is noticed.

When a capacitor is connected in the circuit current leads voltage.

Click on the pause button Pause the simulation
Now, we will find the phase relation between voltage and current for an Inductor.
Drag the probes of the voltage chart and current chart close to the charts. Drag the probes of voltage chart and current chart to their default position.
Point to the information box. In the circuit click on capacitor component.

In the capacitor edit box click on the delete icon to delete the capacitor.

Click on the inductor and drag in the interface. Now, drag an inductor from the given components.

Place the inductor at the same position as the capacitor.

By default, inductance of the inductor is 5 H.

Click on Play button Now Play the simulation.
Point to the values of inductance and frequency on the interface. Let us calculate inductive reactance using frequency and inductance values.
Slide Number 11

Inductive Reactance 

XL = 2πνL = 2 × 3.14 × 0.5 × 5 = 15.7 Ω
  • The frequency of AC voltage source is 0.5 Hz.
  • Inductance of the inductor is 5 H
  • Inductive Reactance is 15.7 Ω
Click on the pause button Pause the simulation.
Point to the voltage and current chart Now, we will attach the probes of voltage chart and current chart to the inductor.
Click on the play radio button. Now play the simulation.
Point to the graphs in the charts. Observe the graphs in the charts, a phase change is noticed.

When an inductor is connected in the circuit voltage leads current.

Slide Number 12

Series AC Circuits

Z = <math>\sqrt{\mathrm{❑}}</math>

  • For, LC circuit, R = 0
  • RC circuit, XL= 0 and LR circuit, XC= 0
Series AC Circuits
  • In AC Circuits, resistor, capacitor and inductor are connected in series.
  • The impedance (Z) is the total opposition to the flow of current in the AC circuit.
  • For LC circuit R=0.
  • RC circuit Inductive reactance = 0 and
  • LR circuit Capacitive reactance =0
Click on Refresh button Clear the interface using refresh button.
Point to the Resistor Let’s make series RC circuit.

Drag a resistor

Point to the Capacitor Now, drag a capacitor and attach it in series to the resistor.
Point to the ammeter Drag an ammeter and attach it in series to the capacitor using a connecting wire.
Click on the AC Voltage Other end of the resistor is connected to the AC Voltage source in parallel using connecting wires.
Point on the switch and attached with the AC Voltage source. Drag a switch and attach it in series to the AC Voltage source using wire.
Point to the wire The circuit is completed by attaching wire between switch and the ammeter.
Single click on the switch Now, close the switch by clicking on it.

The Current starts flowing through the circuit.

Click on the Pause button Pause the simulation
Drag Voltage Chart. Drag Voltage Chart and attach its terminals (probes) across the ends of the resistor and capacitor.
Drag Current Chart. Drag Current chart and place its terminal across the ammeter.
Click on the play radio button. Now play the simulation.
Point to the graphs in the charts. Observe the graphs in the charts.

No phase change is observed in the RC series circuit.

Point to the values of Resistance, capacitance and frequency on the interface. Let us calculate Impedance of RC circuit using frequency, resistance and capacitance values.
Click on the Values check box on the right panel Click on the Values check box on the right, to display value of each component.
Slide Number 13

Impedance of RC circuit 

XC = 3.18 Ω
  • Impedance (Z) =<math>\sqrt{\mathrm{❑}}</math>= 4.48 Ω
  • The resistance of the resistor is 10 Ω.
  • The capacitance is 0.10 F.
  • Capacitive reactance is 3.18 Ω.
  • Impedance is 4.48 Ω
Only Narration. With this, we come to the end of this tutorial.

Let us summarise.

Slide Number 14

Summary

Using this simulation we
  • Built simple AC circuits
  • Found the phase relation between voltage and current for different AC circuits
  • Calculated capacitive reactance and inductive reactance of the circuits.
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Assignment

As an assignment
  • Change the frequency of the AC voltage source to 0.75 hertz and 1.0 hertz,
  • Find capacitive reactance and inductive reactance at these frequencies.
  • Find the phase relation between voltage and current for:
  • Series LC circuit
  • Series RL circuit
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Spoken Tutorial Project

The video at the following link summarises the Spoken Tutorial Project.

Please download and watch it.

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Spoken Tutorial workshops

The Spoken Tutorial Project team, conducts workshops using spoken tutorials.

Gives certificates to those who pass online test.

For more details, please write to contact@spoken-tutorial.org.

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Forum for specific questions:

Please post your timed queries in this forum.
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Acknowledgement

The Spoken Tutorial Project was established by the Ministry of Education, Government of India.
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Thank You.

This tutorial is contributed by Dr. Jagdish Kaur and Amardeep Kaur from DAV College Amritsar.

Thank you for joining.

Contributors and Content Editors

Ketkinaina, Madhurig

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