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Definition and Formula of Self Induction

Self Induction refers to a phenomenon including electromotive force in a circuit by a varying current in the circuit.

The particular field of physics describes the matter of self-induction and the definition and formula of self-induction is signified here. In this field of study, self-induction has been described as a master of illusion and through this process ‘a changing electric current’ produces ‘induced emf’ across the coil. This study is going to describe the formula of self-inductance. A common difference between self-inductance and mutual inductance has been discovered here. This overall study gives a clear description of self-induction and also describes the limitations of inductors.   

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Self-inductance

Self-inductance seems to be the quality or tendency of a coil and it helps in the resistance of changes on the current. It can be seen that the change of current in the coil has induced an ’emf’. The change in the current seems to be proportional to the change rate of current within the coil. Self-inductance of a coil is nothing but the phenomenon of it and an emf is induced through this process of induction within a coil. The S.I. unit of Self Induction is “Henry (H)” and it helps in the measurement of induction. This is further associated with understanding the resistance and proportional rate of the current.     

Self-inductance formula

A derivation of an expression of self-induction can be done by the influence of Faraday’s law of electromagnetic induction. This expression says “VL=-N (dΦ/dt)”, where ‘VL is considered to be voltage in volts’, N= ‘number of turns in the coil’. The formula also denotes dΦ/dt= rate of change of magnetic flux in Weber’s. This formula is described as an indicator of voltage and it also expresses the change rate of current6 in this field. Self-inductance of a solenoid describes the cross-section area likely “A” and length of this matter and that is “l”.    

Self-induction

The very simple definition of self-induction says that it is an ‘electromotive force in a circuit’ and a variation of current in the same circuit has been seen here. Therefore, the idea has been cleared here that self-induction is nothing but an electromotive force. In the field of self-induction, changing of current in the same field has been noticed and it is the feature of self-induction. In the field of self-induction, a changing current has been created by the magnetic field in the same circuit. A self-induced voltage has been noticed in the field of self-induction.       

How can self-induced emf be calculated?

It can be considered that a coil that carries current has N number of turns. In that situation, if the flux through one coil can be represented by Φ, the flux of the N number of coils can be calculated by ΦT (total flux) = NΦ. In case of removing the sign of proportionality, one can get the formula that is ΦT = Li ⇒ L = NΦT/I, where the L is considered as coefficient of self-induction. 

What is the difference between self-inductance and mutual inductance?

  • Self-inductance has major uses and functions .It also helps in storing energy in a device. The most common use has been seen in the ‘transformers’ and in ‘ferrite beads’. On the other hand, mutual inductance is considered to be ‘the opposition to the change of current in one coil due to the presence of another coil’
  • In mutual induction, the changing process of current in a particular coil induces emf to the other coil and it also opposes the change that happens in current. 

Limitations of inductors

It has been seen that the inductor has some limitations as every inductor has been constructed by coiled wire. Following this phenomenon, every wire has its own limit of carrying current. Therefore the limitations will be –

  • Current carrying capacity
  • The pure form of it is a limitation 
  • Manufacturing difficulty
  • Affects other components

The previously mentioned limitations have the ability of showing different disadvantages as well. The inductor with high valued inductance cannot be possible as the Q factor will be lowered.

Conclusion

The study deals with a proper representation of the formula that is related to self-induction. Self-induction provides the formula that is stated by emf=−LΔIΔt emf = − L Δ I Δ t. The study further stated the difference between the self-inductance and the self-induction by discussing these specific factors in different sections.  The study further included the explanation of the disadvantages of self-induction that can be resulted through the limitations seen in the time of self-induction.

The study becomes enriched with the presence of the particular formula and FAQs in this factor. The study also shows the limitations of inductors and provides information about this study.

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Frequently asked questions

Get answers to the most common queries related to the NDA Examination Preparation.

What is self-induced emf?

The identification can be done as the emf is induced in a coil in the time of decreasing and increasing of current i...Read full

How can self-induction be calculated?

The flow of current through the inductor is determined by the magnetic field. It is produced by the current and obta...Read full

What is the difficulty in using inductors?

The use of inductors has the difficulty of the process of manufacturing and it is also called the limitation of it. ...Read full

What does it mean by self-induction L?

It can be seen in the electric circuit and the effect of emf in the process of induction in the same circuit can be ...Read full