Why inductors are connected in series

The inductance of series connected inductors is calculated as the sum of the individual inductances of each coil since the current change through each coil is same. This series connection is similar to that of the resistors connected in series, except the resistors are replaced by inductors.

If the current I is flowing in the series connection and the coils are L1, L2, and so on, the common current in the series inductors is given by.

This means the total inductance of the series connection is the sum of individual inductances of all inductors. The above equation is true when there is no mutual inductance affect between the coils in this series configuration. The mutual inductance of the inductors will make a change in value of the total inductance in the series combination of inductors. Assume that there are two inductors connected in series with the alternating voltage source which can generate a varying current in the circuit as shown in the above figure.

It is important to remember that the total inductance is always greater than the largest inductor in the series arrangement of inductors. Ex 1: If a circuit has 3 inductors of 60 Henry, 30 Henry and 20 Henry connected in series, what will be the total inductance of the series? Now consider that inductors are connected such that magnetic field of one coil affects the other. When two or more inductors are connected in series, then the inductance of one inductor will be affected by the magnetic field produced by the other coil.

This mutual inductance may increase or decrease the total inductance of the series circuit. The factor that affects the mutual inductance of a series connected of inductors is the distance between the coils and their orientation. In this series aiding or cumulative coupled circuit, the current enters or leaves the terminals of coils at any instant of time are in the same direction.

Accordingly the formula for the total inductance will change in both the cases. General Electronics. Now inductors can broadly be connected in two ways Inductors in Series Inductors in Parallel In this article, particularly we will be studying about the series connection of Inductors.

Inductors in Series Circuit If the current flowing in all the connected inductors are same then the connection is series connection. As shown above, the current is same in all three inductors, i. Mutually Connected Inductors in Series When inductors are connected in series so that the magnetic field of one links with another, then the effect of mutual inductance either decreases or increases the total inductance depending on the magnetic coupling.

Now, these mutually connected inductors can be broadly of two types: Adding total inductance Opposing total inductance If the current flowing through the coil and the magnetic flux produced are in the same direction then the coils are said to be cumulatively coupled.

Cumulatively Coupled Series Inductors As shown in fig below, when the current flowing between the two points through the cumulatively coupled coils has the same direction, therefore the voltage drops across each coil will be modified taking into consideration about the effect of mutual inducatance. Cumulatively Coupled Coils. Differentially Coupled Coils. Like this: Like Loading You may also like to see. Diode Clipping of Different Bias levels December 26, Post navigation Next Article.

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