SlideShare a Scribd company logo
Applied Science & Humanities Department
SUBJECT : EEE- 2110005
TOPIC NAME: INDUCTOR
BRANCH : Computer Engineering- 07
GROUP NO. : 02
INDUCTOR
Basic Details
 A component in an electric or electronic circuit which
possesses inductance.
 An inductor, also called a coil or reactor, is a passive two-
terminal electrical component which resists changes in
electric current passing through it.
 It consists of a conductor such as a wire , usually wound
into a coil.
 Types of inductor:-There are mainly three types of
inductor,
1. Air core inductor
2. Ferromagnetic core inductor
3. Variable inductor
Inductance
 In electromagnetism and electronics, inductance is the
property of an electrical conductor by which a change in
current through it induces an electromotive force in both
the conductor itself and in any nearby conductors by
mutual inductance.
 The symbol of inductance is L.
 In the SI system , the measurement unit for inductance is
the henry, with the unit symbol H.
 Inductance is determined by how much magnetic flux
φ through the circuit is created by a given current i,
 The inductance changes with the current, in this more
general case inductance is defined as,
Self Inductance
 We consider a coil having N turns carrying a current of I
amperes. Let the flux produced be φ weber.
 The total magnetic flux linking with the coil due to current
I will be Nφ.This flux is produced due to current.
 i.e Nϕ α I
 N ϕ =LI
 𝐿 =
𝑁𝜙
𝐼
henry
 Since 𝑒 = −𝑁
𝑑𝜙
𝑑𝑡
 And Nϕ =LI
 𝑒 = −𝐿
𝑑𝐼
𝑑𝑡
Mutual Inductance
 We consider two coils that are placed close to each other.
 Let ϕ1 = flux in the primary coil
 I1 = current flowing in the primary coil.
 ϕ2 = flux induced in the secondary coil.
 I2 = induced current in the secondary coil.
 Flux ϕ2 is produced because of I1.
 ϕ2 α I1 or we can say
 ϕ2 = MI1
 where M is a constant for both the coils.
 Differentiating the above equation, we get

𝑑𝜙2
𝑑𝑡
= 𝑀
𝑑𝐼1
𝑑𝑡
 But emf induced in the secondary coil is 𝑒2 = −
𝑑𝜙2
𝑑𝑡
 so, 𝑒2 = −𝑀
𝑑𝐼1
𝑑𝑡
Stored Energy
 The energy stored by an inductor is equal to the amount of
work required to establish the current through the inductor, and
therefore the magnetic field.
 Induced emf, 𝑒 = 𝐿
𝑑𝑖
𝑑𝑡
 The energy dW = ei dt
 = 𝐿
𝑑𝑖
𝑑𝑡
𝑖 𝑑𝑡 = 𝐿𝑖𝑑𝑖
 The total work done,
 0
𝑊
𝑑𝑊 = 𝐿 0
𝐼
𝑖𝑑𝑖
 𝑊 = 𝐿
𝑖2
2
= 1
2
LI2
Properties
 A fully discharged inductor(no current through it) initially
acts as an open circuit(voltage drop with no current). After
charging fully to the final level of current, it acts as a short
circuit(current with no voltage drop).
Uses
 Inductors used a little bit in a few wireless applications,
but not much else.
 Inductors are used extensively with capacitors and
resistors to create filters for analog circuits and in signal
processing.
 Inductive sensors are used at nearly every intersection
with a traffic light to detect the amount of traffic and
adjust the signal accordingly.
 Like capacitors, inductors can be used for energy storage.
THANK
YOU

More Related Content

What's hot

Inductor basics
Inductor   basicsInductor   basics
Types Of Capacitors And Their Applications
Types Of Capacitors And Their ApplicationsTypes Of Capacitors And Their Applications
Types Of Capacitors And Their Applications
elprocus
 
resistors
resistorsresistors
resistors
imran khan
 
Basic of Electrical Circuits
Basic of Electrical CircuitsBasic of Electrical Circuits
Basic of Electrical Circuits
Ganesh Babu
 
INDUCTORS AND ITS TYPE BY JALAL AHMED
INDUCTORS AND ITS TYPE BY JALAL AHMEDINDUCTORS AND ITS TYPE BY JALAL AHMED
INDUCTORS AND ITS TYPE BY JALAL AHMED
Engrineer Ghazi Ahmed
 
The Different Types of Inductors and Their Affecting Factors
The Different Types of Inductors and Their Affecting FactorsThe Different Types of Inductors and Their Affecting Factors
The Different Types of Inductors and Their Affecting Factors
elprocus
 
Field Effect Transistor ppt
Field Effect Transistor pptField Effect Transistor ppt
Field Effect Transistor ppt
Sameeksha Verma
 
Chapter-4 FET (1).ppt
Chapter-4 FET (1).pptChapter-4 FET (1).ppt
Chapter-4 FET (1).ppt
JeelBhanderi4
 
Electrical Conductor
Electrical ConductorElectrical Conductor
Electrical Conductor
Veronica B
 
Type and application of dielectric
Type and application of dielectricType and application of dielectric
Type and application of dielectric
raj_sevak
 
Presentation on inductor
Presentation on inductorPresentation on inductor
Presentation on inductor
Nouman Riaz
 
Lecture 2: Power Diodes
Lecture 2: Power DiodesLecture 2: Power Diodes
Lecture 2: Power Diodes
aadesharya
 
Inductor
InductorInductor
Inductor
niket shah
 
Diode
DiodeDiode
AC & DC
AC & DCAC & DC
AC & DC
Ramasubbu .P
 
Resistor
ResistorResistor
Resistor
Aparna1205
 
Analysis of space charge controlled electric field 1
Analysis of space charge controlled electric field 1Analysis of space charge controlled electric field 1
Analysis of space charge controlled electric field 1
Chandan Kumar
 
Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...
Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...
Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...
Robioul Hasan
 

What's hot (20)

Inductor basics
Inductor   basicsInductor   basics
Inductor basics
 
Types Of Capacitors And Their Applications
Types Of Capacitors And Their ApplicationsTypes Of Capacitors And Their Applications
Types Of Capacitors And Their Applications
 
resistors
resistorsresistors
resistors
 
Basic of Electrical Circuits
Basic of Electrical CircuitsBasic of Electrical Circuits
Basic of Electrical Circuits
 
INDUCTORS AND ITS TYPE BY JALAL AHMED
INDUCTORS AND ITS TYPE BY JALAL AHMEDINDUCTORS AND ITS TYPE BY JALAL AHMED
INDUCTORS AND ITS TYPE BY JALAL AHMED
 
The Different Types of Inductors and Their Affecting Factors
The Different Types of Inductors and Their Affecting FactorsThe Different Types of Inductors and Their Affecting Factors
The Different Types of Inductors and Their Affecting Factors
 
Field Effect Transistor ppt
Field Effect Transistor pptField Effect Transistor ppt
Field Effect Transistor ppt
 
Chapter-4 FET (1).ppt
Chapter-4 FET (1).pptChapter-4 FET (1).ppt
Chapter-4 FET (1).ppt
 
Electrical Conductor
Electrical ConductorElectrical Conductor
Electrical Conductor
 
Type and application of dielectric
Type and application of dielectricType and application of dielectric
Type and application of dielectric
 
Power supply
Power supplyPower supply
Power supply
 
Transformer
TransformerTransformer
Transformer
 
Presentation on inductor
Presentation on inductorPresentation on inductor
Presentation on inductor
 
Lecture 2: Power Diodes
Lecture 2: Power DiodesLecture 2: Power Diodes
Lecture 2: Power Diodes
 
Inductor
InductorInductor
Inductor
 
Diode
DiodeDiode
Diode
 
AC & DC
AC & DCAC & DC
AC & DC
 
Resistor
ResistorResistor
Resistor
 
Analysis of space charge controlled electric field 1
Analysis of space charge controlled electric field 1Analysis of space charge controlled electric field 1
Analysis of space charge controlled electric field 1
 
Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...
Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...
Type of all kind of diode.zenzer diode,p n junction diode,pin diode,led diode...
 

Similar to Inductor

6 inductance
6 inductance6 inductance
6 inductance
Ruben Conde
 
chapter32.ppt
chapter32.pptchapter32.ppt
chapter32.ppt
RyanAnderson41811
 
electromagnetic induction ( part 2 )
electromagnetic induction ( part 2 )electromagnetic induction ( part 2 )
electromagnetic induction ( part 2 )
Priyanka Jakhar
 
BHUVI REPORT WORK DETAIL
BHUVI REPORT WORK DETAILBHUVI REPORT WORK DETAIL
BHUVI REPORT WORK DETAILBHUWNESH GUPTA
 
Description of Electronics components
Description of Electronics componentsDescription of Electronics components
Description of Electronics components
Shri Shankaracharya College, Bhilai,Junwani
 
Electrical circuits 2
Electrical circuits 2Electrical circuits 2
Electrical circuits 2
RADHIKA365425
 
Electromagnetic induction and transformer
Electromagnetic induction and transformer Electromagnetic induction and transformer
Electromagnetic induction and transformer
Nitish Prajapati
 
fall2010-28 (1).pdf
fall2010-28 (1).pdffall2010-28 (1).pdf
fall2010-28 (1).pdf
SarthakShukla45
 
Electricity One Shot.pdf
Electricity One Shot.pdfElectricity One Shot.pdf
Electricity One Shot.pdf
SABAKHAN478855
 
Brief information of Electricity and wiring
Brief information of Electricity and wiring Brief information of Electricity and wiring
Brief information of Electricity and wiring
Mani Das
 
Current and Electricity for class 10.pdf
Current and Electricity for class 10.pdfCurrent and Electricity for class 10.pdf
Current and Electricity for class 10.pdf
JackHassan2
 
Current and Electricity for class 10.pdf
Current and Electricity for class 10.pdfCurrent and Electricity for class 10.pdf
Current and Electricity for class 10.pdf
JackHassan2
 
self inductance , mutual inductance and coeffecient of coupling
self inductance , mutual inductance and coeffecient of couplingself inductance , mutual inductance and coeffecient of coupling
self inductance , mutual inductance and coeffecient of coupling
saahil kshatriya
 
Medical physics
Medical physicsMedical physics
Medical physics
keesa1
 
Electricity, types of charges, current, circuits
Electricity, types of charges, current, circuitsElectricity, types of charges, current, circuits
Electricity, types of charges, current, circuits
Daksh Tomar
 
Electricity(ppt)
Electricity(ppt)Electricity(ppt)
Electricity(ppt)
Om Sali
 
Transformer
TransformerTransformer
Transformer
9737932664
 
Transformer
TransformerTransformer
Transformer
Ashvani Shukla
 
transformer
 transformer transformer
transformer
NITIN MAGAR
 

Similar to Inductor (20)

6 inductance
6 inductance6 inductance
6 inductance
 
chapter32.ppt
chapter32.pptchapter32.ppt
chapter32.ppt
 
electromagnetic induction ( part 2 )
electromagnetic induction ( part 2 )electromagnetic induction ( part 2 )
electromagnetic induction ( part 2 )
 
BHUVI REPORT WORK DETAIL
BHUVI REPORT WORK DETAILBHUVI REPORT WORK DETAIL
BHUVI REPORT WORK DETAIL
 
Description of Electronics components
Description of Electronics componentsDescription of Electronics components
Description of Electronics components
 
Electrical circuits 2
Electrical circuits 2Electrical circuits 2
Electrical circuits 2
 
Electromagnetic induction and transformer
Electromagnetic induction and transformer Electromagnetic induction and transformer
Electromagnetic induction and transformer
 
fall2010-28 (1).pdf
fall2010-28 (1).pdffall2010-28 (1).pdf
fall2010-28 (1).pdf
 
Electricity One Shot.pdf
Electricity One Shot.pdfElectricity One Shot.pdf
Electricity One Shot.pdf
 
Brief information of Electricity and wiring
Brief information of Electricity and wiring Brief information of Electricity and wiring
Brief information of Electricity and wiring
 
Current and Electricity for class 10.pdf
Current and Electricity for class 10.pdfCurrent and Electricity for class 10.pdf
Current and Electricity for class 10.pdf
 
Current and Electricity for class 10.pdf
Current and Electricity for class 10.pdfCurrent and Electricity for class 10.pdf
Current and Electricity for class 10.pdf
 
self inductance , mutual inductance and coeffecient of coupling
self inductance , mutual inductance and coeffecient of couplingself inductance , mutual inductance and coeffecient of coupling
self inductance , mutual inductance and coeffecient of coupling
 
Medical physics
Medical physicsMedical physics
Medical physics
 
Electricity, types of charges, current, circuits
Electricity, types of charges, current, circuitsElectricity, types of charges, current, circuits
Electricity, types of charges, current, circuits
 
Electricity(ppt)
Electricity(ppt)Electricity(ppt)
Electricity(ppt)
 
Transformer
TransformerTransformer
Transformer
 
Transformer
TransformerTransformer
Transformer
 
transformer
 transformer transformer
transformer
 
adaindiv1
adaindiv1adaindiv1
adaindiv1
 

Recently uploaded

weather web application report.pdf
weather web application report.pdfweather web application report.pdf
weather web application report.pdf
Pratik Pawar
 
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdfTutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
aqil azizi
 
Building Electrical System Design & Installation
Building Electrical System Design & InstallationBuilding Electrical System Design & Installation
Building Electrical System Design & Installation
symbo111
 
Unbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptxUnbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptx
ChristineTorrepenida1
 
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
MdTanvirMahtab2
 
CME397 Surface Engineering- Professional Elective
CME397 Surface Engineering- Professional ElectiveCME397 Surface Engineering- Professional Elective
CME397 Surface Engineering- Professional Elective
karthi keyan
 
MCQ Soil mechanics questions (Soil shear strength).pdf
MCQ Soil mechanics questions (Soil shear strength).pdfMCQ Soil mechanics questions (Soil shear strength).pdf
MCQ Soil mechanics questions (Soil shear strength).pdf
Osamah Alsalih
 
14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application
SyedAbiiAzazi1
 
Forklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella PartsForklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella Parts
Intella Parts
 
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...
Amil Baba Dawood bangali
 
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
zwunae
 
Water Industry Process Automation and Control Monthly - May 2024.pdf
Water Industry Process Automation and Control Monthly - May 2024.pdfWater Industry Process Automation and Control Monthly - May 2024.pdf
Water Industry Process Automation and Control Monthly - May 2024.pdf
Water Industry Process Automation & Control
 
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&BDesign and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Sreedhar Chowdam
 
Recycled Concrete Aggregate in Construction Part III
Recycled Concrete Aggregate in Construction Part IIIRecycled Concrete Aggregate in Construction Part III
Recycled Concrete Aggregate in Construction Part III
Aditya Rajan Patra
 
space technology lecture notes on satellite
space technology lecture notes on satellitespace technology lecture notes on satellite
space technology lecture notes on satellite
ongomchris
 
Fundamentals of Electric Drives and its applications.pptx
Fundamentals of Electric Drives and its applications.pptxFundamentals of Electric Drives and its applications.pptx
Fundamentals of Electric Drives and its applications.pptx
manasideore6
 
HYDROPOWER - Hydroelectric power generation
HYDROPOWER - Hydroelectric power generationHYDROPOWER - Hydroelectric power generation
HYDROPOWER - Hydroelectric power generation
Robbie Edward Sayers
 
一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理
一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理
一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理
bakpo1
 
Gen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdfGen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdf
gdsczhcet
 
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdfGoverning Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
WENKENLI1
 

Recently uploaded (20)

weather web application report.pdf
weather web application report.pdfweather web application report.pdf
weather web application report.pdf
 
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdfTutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
 
Building Electrical System Design & Installation
Building Electrical System Design & InstallationBuilding Electrical System Design & Installation
Building Electrical System Design & Installation
 
Unbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptxUnbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptx
 
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
 
CME397 Surface Engineering- Professional Elective
CME397 Surface Engineering- Professional ElectiveCME397 Surface Engineering- Professional Elective
CME397 Surface Engineering- Professional Elective
 
MCQ Soil mechanics questions (Soil shear strength).pdf
MCQ Soil mechanics questions (Soil shear strength).pdfMCQ Soil mechanics questions (Soil shear strength).pdf
MCQ Soil mechanics questions (Soil shear strength).pdf
 
14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application
 
Forklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella PartsForklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella Parts
 
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...
 
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
 
Water Industry Process Automation and Control Monthly - May 2024.pdf
Water Industry Process Automation and Control Monthly - May 2024.pdfWater Industry Process Automation and Control Monthly - May 2024.pdf
Water Industry Process Automation and Control Monthly - May 2024.pdf
 
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&BDesign and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
 
Recycled Concrete Aggregate in Construction Part III
Recycled Concrete Aggregate in Construction Part IIIRecycled Concrete Aggregate in Construction Part III
Recycled Concrete Aggregate in Construction Part III
 
space technology lecture notes on satellite
space technology lecture notes on satellitespace technology lecture notes on satellite
space technology lecture notes on satellite
 
Fundamentals of Electric Drives and its applications.pptx
Fundamentals of Electric Drives and its applications.pptxFundamentals of Electric Drives and its applications.pptx
Fundamentals of Electric Drives and its applications.pptx
 
HYDROPOWER - Hydroelectric power generation
HYDROPOWER - Hydroelectric power generationHYDROPOWER - Hydroelectric power generation
HYDROPOWER - Hydroelectric power generation
 
一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理
一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理
一比一原版(SFU毕业证)西蒙菲莎大学毕业证成绩单如何办理
 
Gen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdfGen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdf
 
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdfGoverning Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
 

Inductor

  • 1. Applied Science & Humanities Department SUBJECT : EEE- 2110005 TOPIC NAME: INDUCTOR BRANCH : Computer Engineering- 07 GROUP NO. : 02
  • 3. Basic Details  A component in an electric or electronic circuit which possesses inductance.  An inductor, also called a coil or reactor, is a passive two- terminal electrical component which resists changes in electric current passing through it.  It consists of a conductor such as a wire , usually wound into a coil.
  • 4.  Types of inductor:-There are mainly three types of inductor, 1. Air core inductor 2. Ferromagnetic core inductor 3. Variable inductor
  • 5. Inductance  In electromagnetism and electronics, inductance is the property of an electrical conductor by which a change in current through it induces an electromotive force in both the conductor itself and in any nearby conductors by mutual inductance.  The symbol of inductance is L.  In the SI system , the measurement unit for inductance is the henry, with the unit symbol H.
  • 6.  Inductance is determined by how much magnetic flux φ through the circuit is created by a given current i,  The inductance changes with the current, in this more general case inductance is defined as,
  • 7. Self Inductance  We consider a coil having N turns carrying a current of I amperes. Let the flux produced be φ weber.  The total magnetic flux linking with the coil due to current I will be Nφ.This flux is produced due to current.
  • 8.  i.e Nϕ α I  N ϕ =LI  𝐿 = 𝑁𝜙 𝐼 henry  Since 𝑒 = −𝑁 𝑑𝜙 𝑑𝑡  And Nϕ =LI  𝑒 = −𝐿 𝑑𝐼 𝑑𝑡
  • 9. Mutual Inductance  We consider two coils that are placed close to each other.
  • 10.  Let ϕ1 = flux in the primary coil  I1 = current flowing in the primary coil.  ϕ2 = flux induced in the secondary coil.  I2 = induced current in the secondary coil.  Flux ϕ2 is produced because of I1.  ϕ2 α I1 or we can say  ϕ2 = MI1  where M is a constant for both the coils.  Differentiating the above equation, we get  𝑑𝜙2 𝑑𝑡 = 𝑀 𝑑𝐼1 𝑑𝑡  But emf induced in the secondary coil is 𝑒2 = − 𝑑𝜙2 𝑑𝑡  so, 𝑒2 = −𝑀 𝑑𝐼1 𝑑𝑡
  • 11. Stored Energy  The energy stored by an inductor is equal to the amount of work required to establish the current through the inductor, and therefore the magnetic field.  Induced emf, 𝑒 = 𝐿 𝑑𝑖 𝑑𝑡  The energy dW = ei dt  = 𝐿 𝑑𝑖 𝑑𝑡 𝑖 𝑑𝑡 = 𝐿𝑖𝑑𝑖  The total work done,  0 𝑊 𝑑𝑊 = 𝐿 0 𝐼 𝑖𝑑𝑖  𝑊 = 𝐿 𝑖2 2 = 1 2 LI2
  • 12. Properties  A fully discharged inductor(no current through it) initially acts as an open circuit(voltage drop with no current). After charging fully to the final level of current, it acts as a short circuit(current with no voltage drop).
  • 13. Uses  Inductors used a little bit in a few wireless applications, but not much else.  Inductors are used extensively with capacitors and resistors to create filters for analog circuits and in signal processing.  Inductive sensors are used at nearly every intersection with a traffic light to detect the amount of traffic and adjust the signal accordingly.  Like capacitors, inductors can be used for energy storage.