PCB Inductor – Definition and Methods of Computing Inductance Value

What is a PCB Inductor?

A PCB inductor is a passive electronic component that is designed to store energy in a magnetic field when an electric current flows through it. It is a crucial component in many electronic circuits, particularly in power supply systems, filters, and oscillators. PCB inductors are typically made by winding a conductive wire or trace around a core material, such as ferrite or iron.

The primary function of a PCB inductor is to oppose changes in the current flowing through it. When the current through an inductor changes, it induces a voltage across the inductor that opposes the change in current. This property is known as inductance and is measured in henries (H).

Types of PCB Inductors

There are several types of PCB inductors, each with its own unique characteristics and applications. Some of the most common types include:

Air Core Inductors

Air core inductors are the simplest type of PCB inductor. They consist of a coil of wire or trace without any core material. Air core inductors have a low inductance value and are typically used in high-frequency applications.

Ferrite Core Inductors

Ferrite core inductors are made by winding a wire or trace around a ferrite core. Ferrite is a ceramic material that has a high magnetic permeability, which allows for higher inductance values than air core inductors. Ferrite core inductors are commonly used in power supply systems and EMI filters.

Iron Core Inductors

Iron core inductors are similar to ferrite core inductors but use an iron core instead of a ferrite core. Iron has a higher saturation flux density than ferrite, which allows for even higher inductance values. However, iron core inductors are less common than ferrite core inductors due to their higher cost and lower frequency range.

Multilayer Inductors

Multilayer inductors are made by stacking multiple layers of conductive traces and insulating material. This allows for higher inductance values in a smaller package size than traditional wound inductors. Multilayer inductors are commonly used in high-frequency applications, such as RF circuits.

Methods of Computing Inductance Value

There are several methods of computing the inductance value of a PCB inductor. Some of the most common methods include:

Wheeler’s Formula

Wheeler’s formula is a simple method of calculating the inductance value of a single-layer air core inductor. The formula is as follows:

L = (r^2 * N^2) / (9r + 10l)

Where:
– L is the inductance in microhenries (μH)
– r is the radius of the coil in inches
– N is the number of turns
– l is the length of the coil in inches

Modified Wheeler’s Formula

The modified Wheeler’s formula is an extension of the original Wheeler’s formula that accounts for the thickness of the wire or trace. The formula is as follows:

L = (r^2 * N^2) / (8r + 11d)

Where:
– L is the inductance in microhenries (μH)
– r is the radius of the coil in inches
– N is the number of turns
– d is the depth of the coil in inches (i.e., the thickness of the wire or trace)

Neumann’s Formula

Neumann’s formula is a more accurate method of calculating the inductance value of a multilayer inductor. The formula is as follows:

L = (μ0 * N^2 * A) / l

Where:
– L is the inductance in henries (H)
– μ0 is the permeability of free space (4π × 10^-7 H/m)
– N is the number of turns
– A is the cross-sectional area of the core in square meters (m^2)
– l is the length of the coil in meters (m)

Simulation Software

In addition to the above formulas, there are also several simulation software packages available that can accurately calculate the inductance value of a PCB inductor. These software packages use finite element analysis (FEA) to model the electromagnetic fields around the inductor and calculate the inductance value based on the geometry and materials used.

Some popular simulation software packages for PCB inductors include:

  • Ansys Maxwell
  • Comsol Multiphysics
  • Keysight ADS
  • Sonnet Software

Factors Affecting Inductance Value

There are several factors that can affect the inductance value of a PCB inductor. Some of the most important factors include:

Number of Turns

The number of turns in the inductor coil is one of the most significant factors affecting the inductance value. In general, the more turns in the coil, the higher the inductance value.

Coil Radius

The radius of the inductor coil also affects the inductance value. A larger coil radius will result in a higher inductance value, while a smaller coil radius will result in a lower inductance value.

Core Material

The core material used in the inductor can also affect the inductance value. Ferrite and iron cores have a higher permeability than air, which allows for higher inductance values. However, the choice of core material also depends on the frequency range and power handling requirements of the application.

Wire or Trace Thickness

The thickness of the wire or trace used in the inductor can also affect the inductance value. A thicker wire or trace will have a lower resistance and allow for higher current handling, but will also result in a lower inductance value.

Spacing Between Turns

The spacing between the turns in the inductor coil can also affect the inductance value. A larger spacing between turns will result in a lower inductance value, while a smaller spacing will result in a higher inductance value.

Applications of PCB Inductors

PCB inductors are used in a wide range of electronic applications, including:

Power Supply Systems

PCB inductors are commonly used in power supply systems, such as DC-DC converters and Voltage Regulators. They are used to store energy and smooth out voltage and current fluctuations.

Filters

PCB inductors are also used in various types of filters, such as low-pass, high-pass, and band-pass filters. They are used to attenuate unwanted frequency components and improve signal quality.

Oscillators

PCB inductors are used in oscillator circuits, such as LC Oscillators and Crystal Oscillators. They are used to set the frequency of the oscillator and provide frequency stability.

RF Circuits

PCB inductors are used in a variety of RF circuits, such as matching networks, power amplifiers, and antennas. They are used to match impedances, filter signals, and provide frequency selectivity.

Selecting the Right PCB Inductor

When selecting a PCB inductor for a particular application, there are several factors to consider, including:

Inductance Value

The inductance value of the inductor should be selected based on the requirements of the application. This can be calculated using one of the methods described above or by using simulation software.

Current Rating

The current rating of the inductor should be sufficient to handle the maximum current expected in the application. Exceeding the current rating can result in overheating and damage to the inductor.

Frequency Range

The frequency range of the inductor should be appropriate for the application. Different types of inductors have different frequency ranges, so it is important to select the right type for the application.

Size and Package

The size and package of the inductor should be compatible with the PCB layout and manufacturing process. Surface-mount inductors are commonly used in PCB Applications due to their small size and ease of assembly.

Cost

The cost of the inductor should also be considered, particularly for high-volume applications. While higher-quality inductors may have better performance, they may also be more expensive.

Conclusion

PCB inductors are a critical component in many electronic applications, from power supplies to RF circuits. Understanding the different types of inductors, methods of computing inductance value, and factors affecting inductance is essential for selecting the right inductor for a particular application.

By using the appropriate formulas or simulation software, designers can accurately calculate the inductance value needed for their application. They can then select an inductor with the appropriate current rating, frequency range, size, and cost.

As electronic devices continue to become smaller and more complex, the role of PCB inductors will only become more important. By understanding the fundamentals of PCB inductors, designers can create more efficient and reliable electronic systems.

Frequently Asked Questions (FAQ)

1. What is the difference between an air core and a ferrite core inductor?

Air core inductors have no core material and rely on the magnetic field generated by the coil itself. Ferrite core inductors have a ferrite core material that concentrates the magnetic field and allows for higher inductance values in a smaller package size.

2. Can PCB inductors be used in high-power applications?

Yes, PCB inductors can be used in high-power applications, but they must be selected with the appropriate current rating and power handling capability. High-power inductors may also require additional cooling or heat sinking to prevent overheating.

3. How do I select the right inductance value for my application?

The inductance value should be selected based on the requirements of the application, such as the desired frequency range, current level, and voltage drop. This can be calculated using one of the methods described in the article or by using simulation software.

4. What is the difference between a multilayer and a wire-wound inductor?

Multilayer inductors are made by stacking multiple layers of conductive traces and insulating material, while wire-wound inductors are made by winding a wire around a core material. Multilayer inductors typically have higher inductance values and better high-frequency performance than wire-wound inductors.

5. Can PCB inductors be customized for specific applications?

Yes, PCB inductors can be customized for specific applications by modifying the geometry, materials, and winding pattern of the inductor. This can be done using simulation software or by working with a custom inductor manufacturer.

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