What is a PCB or Printed Circuit Board?

History of PCBs

The concept of printed circuits dates back to the early 20th century. In 1903, Albert Hanson, a German inventor, filed a patent for a method of printing conductive traces onto an insulating material. However, it wasn’t until the 1940s that printed circuits became widely used in electronic devices.

During World War II, the United States military developed a process for printing conductive ink onto insulating materials, which was used to create proximity fuses for artillery shells. After the war, this technology was adapted for commercial use, and the first commercial PCBs were produced in the 1950s.

Evolution of PCB manufacturing

Over the years, PCB manufacturing has evolved significantly. Early PCBs were single-sided, meaning that the conductive traces were only printed on one side of the board. As electronic devices became more complex, double-sided PCBs were introduced, allowing for traces to be printed on both sides of the board.

In the 1960s, multilayer PCBs were developed, which consist of multiple layers of insulating material and conductive traces sandwiched together. This allowed for even greater circuit density and complexity.

Today, PCBs can have up to 50 layers or more, and advanced manufacturing techniques, such as high-density interconnect (HDI) and flexible PCBs, have enabled the creation of even smaller and more complex electronic devices.

PCB Design and Fabrication

The process of creating a PCB involves several steps, from initial design to final fabrication.

PCB Design

The first step in creating a PCB is to design the circuit schematic using electronic design automation (EDA) software. The schematic shows the interconnections between the various electronic components and is used to create the PCB layout.

The PCB layout is a physical representation of the circuit, showing the placement of components and the routing of traces. The layout must take into account factors such as signal integrity, electromagnetic compatibility, and thermal management.

PCB Fabrication

Once the PCB layout is finalized, the board can be fabricated. The fabrication process typically involves the following steps:

  1. Substrate Preparation: The insulating substrate, such as fiberglass or composite epoxy, is cut to the desired size and shape.

  2. Copper Cladding: A thin layer of copper is bonded to the substrate using heat and pressure.

  3. Drilling: Holes are drilled into the board to accommodate through-hole components and vias (connections between layers).

  4. Patterning: The copper layer is patterned using a photoresist and etching process to create the conductive traces.

  5. Lamination: For multilayer PCBs, the patterned layers are aligned and laminated together using heat and pressure.

  6. Surface Finish: A protective coating, such as solder mask or silkscreen, is applied to the board to prevent oxidation and improve solderability.

  7. Component Assembly: Electronic components are soldered onto the board using through-hole or surface-mount technology (SMT).

  8. Testing and Inspection: The assembled PCB is tested and inspected to ensure proper functionality and quality.

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×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” 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Types of PCBs

There are several types of PCBs, each with its own unique characteristics and applications.

Single-Sided PCBs

Single-sided PCBs have conductive traces on only one side of the insulating substrate. They are the simplest and most cost-effective type of PCB, but they have limited circuit density and complexity.

Single-sided PCBs are commonly used in low-cost consumer electronics, such as toys and simple appliances.

Double-Sided PCBs

Double-sided PCBs have conductive traces on both sides of the insulating substrate, allowing for greater circuit density and complexity compared to single-sided PCBs. The two sides are connected using through-hole vias.

Double-sided PCBs are used in a wide range of electronic devices, from consumer electronics to industrial control systems.

Multilayer PCBs

Multilayer PCBs consist of multiple layers of insulating material and conductive traces sandwiched together. They offer the highest circuit density and complexity, as well as improved signal integrity and electromagnetic compatibility.

Multilayer PCBs are used in high-performance electronic devices, such as smartphones, computers, and medical equipment.

PCB Type Layers Circuit Density Complexity Cost
Single-Sided 1 Low Low Low
Double-Sided 2 Medium Medium Medium
Multilayer 3+ High High High

Flexible PCBs

Flexible PCBs, also known as flex circuits, are made from flexible insulating materials, such as polyimide or polyester. They can be bent, twisted, or folded to fit into tight spaces or conform to irregular surfaces.

Flexible PCBs are used in applications where space is limited or where the circuit needs to move or flex, such as in wearable devices, automotive electronics, and aerospace systems.

Rigid-Flex PCBs

Rigid-flex PCBs combine the benefits of rigid and flexible PCBs. They consist of rigid PCB sections connected by flexible PCB sections, allowing for a combination of high circuit density and flexibility.

Rigid-flex PCBs are used in applications that require both high performance and mechanical flexibility, such as in medical implants, military equipment, and robotics.

Advantages of PCBs

PCBs offer several advantages over other methods of connecting electronic components, such as point-to-point wiring or wire-wrap.

Reliability

PCBs provide a reliable means of connecting electronic components. The conductive traces are firmly bonded to the insulating substrate, reducing the risk of loose connections or short circuits. Additionally, PCBs can be coated with protective finishes to prevent oxidation and improve durability.

Compact Size

PCBs allow for the creation of compact electronic devices. By using multilayer designs and advanced manufacturing techniques, such as HDI, PCBs can accommodate a large number of components in a small space. This is particularly important in applications where size and weight are critical, such as in mobile devices and aerospace systems.

Cost-Effectiveness

PCBs are a cost-effective solution for connecting electronic components. The manufacturing process is highly automated, allowing for high-volume production at relatively low costs. Additionally, PCBs reduce the amount of manual labor required for assembly, further reducing costs.

Consistency

PCBs provide a consistent means of connecting electronic components. The manufacturing process is highly controlled, ensuring that each PCB is identical to the next. This consistency is important for ensuring the reliability and performance of electronic devices.

Applications of PCBs

PCBs are used in virtually every electronic device, from consumer electronics to industrial control systems. Some common applications include:

  • Smartphones and tablets
  • Computers and laptops
  • Televisions and home entertainment systems
  • Medical devices and equipment
  • Automotive electronics
  • Aerospace and defense systems
  • Industrial control and automation systems
  • IoT devices and smart home appliances

Future of PCBs

As electronic devices continue to become smaller, more complex, and more ubiquitous, the demand for advanced PCB technologies will continue to grow. Some of the key trends shaping the future of PCBs include:

Miniaturization

The trend towards miniaturization will drive the development of even smaller and more densely packed PCBs. This will require advanced manufacturing techniques, such as HDI and embedded components, as well as new materials and design strategies to ensure signal integrity and thermal management.

Flexible and Stretchable Electronics

The demand for flexible and stretchable electronics, such as wearable devices and medical implants, will drive the development of new PCB technologies. This may include the use of novel materials, such as conductive polymers and nanomaterials, as well as new manufacturing processes, such as 3D printing and roll-to-roll fabrication.

Sustainability

As concerns about environmental sustainability continue to grow, there will be increasing pressure to develop PCBs that are more environmentally friendly. This may include the use of biodegradable materials, the development of recycling and reuse strategies, and the adoption of green manufacturing practices.

Integration with Emerging Technologies

PCBs will play a critical role in the integration of emerging technologies, such as 5G networks, artificial intelligence, and quantum computing. This will require the development of new PCB designs and manufacturing processes that can accommodate the unique requirements of these technologies, such as high-speed data transfer and ultra-low latency.

Frequently Asked Questions (FAQ)

  1. What is the difference between a PCB and a printed wiring board (PWB)?
  2. A PCB and a PWB are essentially the same things. The term “printed wiring board” was used in the early days of the technology, but “printed circuit board” has become the more common term in recent years.

  3. Can PCBs be repaired if they are damaged?

  4. In some cases, PCBs can be repaired if they are damaged. However, the feasibility of repair depends on the extent and location of the damage, as well as the complexity of the board. In many cases, it may be more cost-effective to replace the entire board rather than attempt a repair.

  5. How long do PCBs last?

  6. The lifespan of a PCB depends on several factors, including the quality of the materials and manufacturing process, the operating environment, and the level of use. In general, a well-designed and manufactured PCB can last for many years, even decades, with proper care and maintenance.

  7. What is the difference between through-hole and surface-mount technology?

  8. Through-hole technology involves inserting component leads through holes drilled in the PCB and soldering them to pads on the opposite side. Surface-mount technology involves soldering components directly onto pads on the surface of the PCB. Surface-mount technology allows for smaller components and higher circuit density, but through-hole technology is still used for certain components and applications.

  9. What is the role of solder mask on a PCB?

  10. Solder mask is a protective coating applied to the surface of a PCB. It serves several purposes, including protecting the copper traces from oxidation, preventing solder bridges between adjacent pads, and providing electrical insulation. Solder mask also helps to improve the aesthetics of the board and can be used to add text and graphics for identification and branding purposes.

Conclusion

Printed circuit boards (PCBs) are the unsung heroes of the modern electronic age. They provide a reliable, compact, and cost-effective means of connecting electronic components, enabling the creation of increasingly complex and powerful devices.

From their origins in the early 20th century to their current state-of-the-art incarnations, PCBs have undergone a remarkable evolution. Today, they are found in virtually every electronic device, from smartphones and computers to medical equipment and aerospace systems.

As electronic devices continue to evolve, so too will PCBs. The trend towards miniaturization, flexibility, sustainability, and integration with emerging technologies will drive the development of new PCB designs, materials, and manufacturing processes.

Despite their ubiquity, PCBs remain a mystery to many people. By understanding the basics of PCB design, fabrication, and application, we can better appreciate the critical role they play in our daily lives and imagine the possibilities for the future of electronic devices.

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