 # Inductor

Inductors much like conductors and resistors are simple components that are used in electronic devices to carry out specific functions. Normally, inductors are coil-like structures that are found in electronic circuits. The coil is an insulated wire that is looped around the central core.

Inductors are mostly used to decrease or control the electric spikes by storing energy temporarily in an electromagnetic field and then releasing it back into the circuit.

## What is Inductor?

An inductor is a passive component that is used in most power electronic circuits to store energy in the form of magnetic energy when electricity is applied to it. One of the key properties of an inductor is that it impedes or opposes any change in the amount of current flowing through it. Whenever the current across inductor changes it either acquires charge or loses the charge in order to equalize the current passing through it. The inductor is also called as choke, reactor or just coil.

An inductor is described by its distinctive nature of inductance, which is defined as the ratio of the voltage to the rate of change of current. Inductance is a result of the induced magnetic field on the coil. It is also determined by several factors such as;

• The shape of the coil.
• The number of turns and layers of the wire.
• The space that is given between the turns.
• Permeability of the core material.
• The size of the core.

The S.I. unit of inductance is henry (H) and when we measure magnetic circuits it is equivalent to weber/ampere. It is denoted by the symbol L.

Meanwhile, an inductor is totally different from a capacitor. In the case of a capacitor, it stores energy as electrical energy but as mentioned above, an inductor stores energy in the form of magnetic energy. One key feature of the inductor is that it also changes its polarity while discharging. In this way polarity during discharging can be made opposite to the polarity during charging. The polarity of the induced voltage is well explained by Lenz law.

Symbols for an inductor are given below: ## Different Types of Inductors

Depending on the type of material used inductors can be classified as follows:

1. Iron Core Inductor
2. Air Core Inductor
3. Iron Powder Inductor
4. Ferrite Core Inductor which is divided into,
• Soft Ferrite
• Hard Ferrite

### Iron Core Inductor

As the name suggests the core of this type of inductor is made of iron. These inductors are low space inductors that have high power and high inductance value. However, they are limited in high-frequency capacity. These inductors are used in audio equipment.

### Air Core Inductor

These inductors are used when the amount of inductance required is low. Since there is no core, it does not have a core loss. But the number of turns the inductor must have is more for this type when compared to the inductors with the core. This results in a high-Quality factor. Usually, ceramic inductors are often referred to as air-core inductors.

### Iron Powder Inductor

In this type of inductor core is Iron Oxide. They are formed by very fine and insulating particles of pure iron powder. High magnetic flux can be stored in it due to the air gap. Permeability of the core of this type of inductor is very less. They are usually below 100. They are mainly used in switching power supplies.

### Ferrite Core Inductor

In this type of Inductor, ferrite materials are used as core. The general composition of ferrites is XFe2O4 . Where X represents transition material. Ferrites can be classified into two types. Soft ferrites and hard ferrites.

• Soft Ferrite: Materials that have the ability to reverse their polarity without any external energy.
• Hard Ferrite: These are permanent magnets. That is their polarity will not change even when the magnetic field is removed.

## Functions of an Inductor

Inductors can be used for two primary functions.

1. To control signals.
2. To store energy.

### Controlling Signals

Coils in an inductor can be used to store energy. The function of the inductor depends upon the frequency of the current passing through it. That is for higher frequency signals will be passed less easily and vice versa. This function tells that it blocks AC Current and passes DC Current. Hence, it can be used to block AC signals.

Inductors can be used along with capacitors to form LC filters.

### Storing Energy

Inductor stores energy in the form of magnetic energy. Coils can store electrical energy in a form of magnetic energy using the property that an electric current flowing through a coil produces a magnetic field, which in turn produces an electric current. In other words, coils offer a means of storing energy on the basis of inductivity

## Inductors In Parallel Form

If two terminals of an inductor are connected to two terminals of another inductor, then the inductors are said to be parallel. We know that when resistors are connected in parallel, their effective resistance decreases. Similarly, when inductors are connected in parallel form, their effective inductance decreases. Inductors in parallel are somewhat similar to the capacitors in series.

Consider the example below: Here, the current flowing through each inductor will be different. This current depends upon the inductance value. However, the voltage across each conductor will be the same. By using Kirchoff’s Current law total current is the sum of the current through each branch. That is

IT = I1 + I2 +I3

We know that the voltage across an inductor is given by the equation

V = L di / dt

We can write,

vAB = LTotal x dlt / dt

VAB = LTotal x d (I1 + I2 + I3) / dt

We can further write it as

vAB = LTotal x dl1 / dt + LTotal x dl2 / dt + LTotal x dl3 / dt

That is

vAB = LTotal ( V / L1 + V / L2 + V / L3 )

Since voltage are equal we can simplify the equation as,

1 / LTotal = 1 / L1 + 1 / L2 + 1 / L3

## Inductors In Series

When the inductors are chained together in a straight line or when they are connected end to end, then the inductors are said to be in series connection. We know that when resistors are connected in series, their effective resistance increases.

Similarly, when inductors are connected in series, their effective inductance increases. Inductors in series are somewhat similar to the capacitors in parallel. In Order to get the total inductance, it is very easy. You only have to add every inductance. That is when inductors are connected in series, the total inductance is the sum of all inductance.

Consider the connection below : Here three inductors, and are connected in series. In this case, the current flowing through each inductor is the same while the voltage across each inductor is different. This voltage depends upon the inductance value. By using Kirchoff’s voltage law total voltage drop is the sum of the voltage drop across each inductor. That is

VT = V1 + V2 +V3

We know that the voltage across an inductor is given by the equation

V = L di / dt

So here we can write,

LTotal dl / dt = L1 x dl1 / dt + L2 x dl2 / dt + L3 x dl3 / dt

But

I = I1 = I2 = I3

Therefore,

L dl / dt = L1 x dl / dt + L2 x dl / dt + L3 x dl / dt

LTotal = L1 + L2 + L3

## Energy Stored In An Inductor

When a current passes through an inductor an emf is induced in it. This back emf opposes the flow of current through the inductor. So in order to establish a current in the inductor work has to be done against this emf by the voltage source.

Consider a time interval dt.

During this period, work done dW is given by

dW = Pdt = – Eidt = iL di / dt x dt = Lidi

To find the total work done the above expression must be integrated.

W = 0I

Lidi = ½ LI2

Therefore energy stored in an inductor is given by the equation,

W = ½ LI2

## Impedance of an Inductor

AC resistance mostly determines the opposition of current flowing through a coil. This AC resistance is most commonly known as impedance. In this section, since we are discussing the opposition given by the inductor, this can be called as Inductive Reactance. Inductive reactance which is given the symbol XL is the property in an AC circuit that opposes the change in the current.

It is given by the equation,

XL = VL / IL = Lω

From the equation, it is clear that inductive reactance is proportional to frequency.

The plot of frequency vs reactance is given below: 