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Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE) PDF Download

 Introduction

 

The slides cover the following topics:

  1. Mutually Induced emf & Mutual Inductance
  2. Self & Mutual Inductance
  3. Mutual Inductance
  4. Coupling Coefficient

 

Self Induced EMF & Self Inductance-----------------------------------------Next slide

 

Self Induced emf & Self Inductance

 

The induced emf, e, in a coil is proportional to the rate of the change of the magnetic flux passing through it due to its own current. This emf is termed as Self Induced EMF
The induced emf e is proportional to the rate of change of current through coil and this proportionality constant is called the self inductance, L.

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

The negative sign is used to indicate that EMF is opposing the cause producing it
 
Self Induced EMF & Self Inductance-----------------------------------------Next slide
 
 Mutually Induced emf & Mutual Inductance 
 
If two coils of wire are placed near each other, a change of current in one coil will induce emfs e1 in the first coil and e2 in the second coil.

 

The induced emf, e2, in coil 2 is proportional to the rate of the change of the magnetic flux passing through it and hence proportional to rate of change of current in first coil and is termed as Mutually induced EMF.
 
Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)
 
 
Self Induced EMF & Self Inductance-----------------------------------------Next slide
 

 

Self & Mutual Inductance

 

The induced emf e2 is proportional to the rate of change of current through coil 1 and this proportionality constant is called the mutual inductance, M

  The mutually induced emf is expressed as

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

  This induced emf can also be expressed as

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

 

Self Induced EMF & Self Inductance-----------------------------------------Next slide

 

Mutual Inductance

 
Therefore
Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

  If μr is constant, Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)  is constant

  and 

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

        Unit: Henry (H)

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

 

Self Induced EMF & Self Inductance-----------------------------------------Next slide

 

Coupling Coefficient

 

Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

 

Self Induced EMF & Self Inductance-----------------------------------------Next slide

 

Example

 

Coil 1 of a pair of coupled coils has a continuous current of 5A, and the corresponding fluxes φ1 and φ12 are 0.6mWb and 0.4 mWb respectively. If the turns are N1=500 and N2=1500, find  L1, L2, M and k.

 

Ans:
•k  = F12/F1  = 0.667
•M = N2 F12/I1= 0.12H
•L1 = N1 F1/I1= 0.06 H
•L2 = 0.539H

 

 

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FAQs on Chapter - Self Induced EMF & Self Inductance, PPT, Magnet Circuit, Semester, Engineering - Electrical Engineering (EE)

1. What is self-induced EMF and how is it related to self inductance in electrical circuits?
Ans. Self-induced EMF refers to the electromotive force that is induced in a circuit due to the change in its own magnetic field. This phenomenon occurs when there is a change in the current flowing through a coil or an inductor. Self-induced EMF is directly related to self inductance, which is a measure of an inductor's ability to resist changes in current flow. The greater the self inductance, the higher the self-induced EMF.
2. How does self-induced EMF affect the behavior of electrical circuits?
Ans. Self-induced EMF can have various effects on electrical circuits. One of the main effects is the generation of a back EMF that opposes the change in current flow. This back EMF can cause a delay in the rise or fall of current in the circuit, leading to a lag in circuit response. Additionally, self-induced EMF can also result in voltage spikes or transients, which can damage sensitive electronic components if not properly controlled.
3. What are some practical applications of self-induced EMF and self inductance in electrical engineering?
Ans. Self-induced EMF and self inductance have several practical applications in electrical engineering. One common application is in the design of transformers, where self inductance is utilized to transfer electrical energy from one circuit to another. Inductors are also used in power supplies to smooth out voltage variations and reduce ripple. Additionally, self inductance is employed in various electronic filters and oscillators to control frequency response and stabilize circuit operation.
4. How can self-induced EMF be minimized or controlled in electrical circuits?
Ans. There are several techniques to minimize or control self-induced EMF in electrical circuits. One approach is to use a diode or a flyback diode across inductive loads to provide a path for the induced current, preventing voltage spikes. Another method is to employ snubber circuits, which consist of resistors and capacitors, to absorb and dissipate the energy of the induced EMF. Additionally, careful circuit layout and shielding techniques can help reduce the impact of self-induced EMF.
5. What is the relationship between self inductance and the time constant of an electrical circuit?
Ans. The time constant of an electrical circuit is a measure of how quickly the circuit responds to changes in voltage or current. In the case of an RL (resistor-inductor) circuit, the time constant is directly related to the self inductance of the inductor. A higher self inductance value leads to a longer time constant, indicating a slower response to changes. Conversely, a lower self inductance results in a shorter time constant and a faster circuit response.
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