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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
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EEE-2110005: Understanding Inductors

  • 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.