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Transmission line

technology Maturity 9-11

Special wires carry signals.

Coaxial cable cut.jpg
Coaxial cable cut.jpg
These wires move waves. They help us watch TV. They also help computers talk. They keep the waves inside. This is very helpful. Can you find a wire?
Transmission line animation3.gif
Transmission line animation3.gif

38 words

Special wires carry waves.

Coaxial cable cut.jpg
Coaxial cable cut.jpg
These wires help us watch TV. They help computers talk, too.
Transmission line animation3.gif
Transmission line animation3.gif
Sometimes, waves can leak out of a wire. This makes the signal weak. These special wires keep the waves inside. They are built to be the same size all the way through. This helps the waves move smoothly. It stops them from bouncing back. This keeps the signal strong and clear. It is a smart way to move information.

80 words

A transmission line is a special kind of cable. It carries electromagnetic waves from one place to another.

Coaxial cable cut.jpg
Coaxial cable cut.jpg
These waves can be radio signals or computer data.
Transmission line animation3.gif
Transmission line animation3.gif
Regular wires work well for low power. But high frequency signals are different. They can leak out of a normal wire as radio waves. This causes a loss of power. The signals can also bounce back if they hit a joint. This creates a bottleneck that stops the signal.
Transmission line element.svg
Transmission line element.svg

To fix this, engineers use special designs. Most transmission lines have the same size all the way through. This gives them a steady characteristic impedance. Impedance is a way to measure how a wire resists a signal. When the impedance stays the same, waves move smoothly. This prevents the waves from reflecting back to the source.

Transmission line 4 port.svg
Transmission line 4 port.svg
Common types include coaxial cables and twisted pairs. Some lines even use tiny patterns on flat boards. These help build parts for radio circuits. By matching the impedance, we can send signals with very little loss.

181 words

A transmission line is a special structure used to carry electromagnetic waves.

Coaxial cable cut.jpg
Coaxial cable cut.jpg
These lines are more than just simple wires. They are designed to keep waves contained as they travel. This is very important for radio-frequency engineering. At high frequencies, the waves have very short wavelengths. Because of this, the waves act differently over short distances.
Transmission line animation3.gif
Transmission line animation3.gif
Engineers use these lines to connect antennas to radio transmitters. They also help distribute cable television signals to homes. You might even find them in computer networks or data buses.
Transmission line 4 port.svg
Transmission line 4 port.svg

Standard electrical cables work fine for low-frequency power. For example, they carry the electricity used in your home. However, they struggle with high-frequency radio signals. At these high speeds, energy tends to leak off the cable. This leakage happens as radio waves and causes power loss. Signals can also hit a joint or a connector and bounce back.

Transmission line animation open short2.gif
Transmission line animation open short2.gif
These reflections act like bottlenecks for the signal. To stop this, transmission lines must have a uniform shape. This keeps the characteristic impedance, or the way the line resists the signal, the same throughout.
Transmission line element.svg
Transmission line element.svg

Scientists studied these lines to understand how electricity moves. James Clerk Maxwell and Lord Kelvin were important figures in this history. In 1855, Lord Kelvin made a model for submarine cables. This model helped explain why a telegraph cable in 1858 did not work well. Later, Oliver Heaviside published papers in 1885. He described how waves move through cables. He also created the telegrapher's equations. These equations help engineers calculate voltage and current.

Transmission line symbols.svg
Transmission line symbols.svg

There are several different types of transmission lines. One common type is the coaxial cable. Another is the twisted pair, which is often used for telephone lines. You can also find planar transmission lines on flat circuit boards. These are sometimes called microstrip or stripline.

Segments.jpg
Segments.jpg
Engineers use specific numbers to describe how these lines work. For instance, a coaxial cable has a characteristic impedance of about 50 ohms. A twisted pair might have an impedance of about 100 ohms. Even the time it takes a signal to travel is measured. This is called propagation delay.
Gaussian pulse in a balanced transmission line.png
Gaussian pulse in a balanced transmission line.png

Understanding transmission lines helps us use modern technology. They are the reason we can have high-speed internet and clear TV signals. Without them, our radio and computer signals would leak away or bounce back constantly.

SmithChartLineLength.svg
SmithChartLineLength.svg
They work like guided paths for energy. When the line is "matched," the energy flows smoothly to its destination. This prevents the signal from wasting energy as heat.
Solec Kujawski longwave antenna feeder.jpg
Solec Kujawski longwave antenna feeder.jpg
By controlling the shape and size of the cable, we can direct waves exactly where they need to go.

463 words

A transmission line is a specialized structure designed to conduct electromagnetic waves in a contained manner.

Coaxial cable cut.jpg
Coaxial cable cut.jpg
While ordinary cables can carry low-frequency alternating current (AC), they fail at high frequencies. This is because at high frequencies, energy radiates off the cable as radio waves. This radiation causes significant power losses. Additionally, high-frequency currents tend to reflect from discontinuities like joints or connectors. These reflections travel back toward the source and act as bottlenecks. To prevent this, transmission lines use specialized construction and impedance matching to ensure signals reach their destination with minimal loss.

To understand how they work, engineers use a distributed-element model.

Transmission line element.svg
Transmission line element.svg
Instead of seeing a cable as one single object, they model it as an infinite series of tiny segments. Each segment contains four specific properties. There is resistance from the conductors and inductance from the magnetic fields. There is also capacitance between the conductors and conductance from the insulating material. These properties are expressed as values per unit length. This model allows scientists to use the telegrapher's equations to calculate voltage and current at any point in time or distance.

There are several distinct types of transmission lines used in technology today.

Segments.jpg
Segments.jpg
Coaxial cable is one of the most common types, often used for cable television. Parallel lines include ladder lines and twisted pairs, which are frequently used in telephone systems. Engineers also use planar transmission lines, such as stripline or microstrip, on flat circuit boards. These planar lines are often arranged in specific patterns to create distributed-element circuits. These circuits act as alternatives to traditional components like discrete capacitors and inductors.

The mathematical study of these lines grew from the work of several great scientists.

Transmission line symbols.svg
Transmission line symbols.svg
James Clerk Maxwell and Lord Kelvin provided early foundations for this field. In 1855, Lord Kelvin created a diffusion model for current in submarine cables. This model was important because it correctly predicted the poor performance of the 1858 trans-Atlantic telegraph cable. Later, in 1885, Oliver Heaviside published papers describing how signals propagate in cables. He developed the modern form of the telegrapher's equations, which remain fundamental to the theory today.

Engineers use specific numbers to measure how well a line performs.

Gaussian pulse in a balanced transmission line.png
Gaussian pulse in a balanced transmission line.png
One key value is the characteristic impedance, denoted by the symbol Z0. This is the ratio of voltage to current for a wave at any point on the line. For example, a coaxial cable typically has a characteristic impedance of about 50 ohms. A twisted pair of wires usually has about 100 ohms. Another important measurement is propagation delay, which is the time it takes a signal to travel. This delay is never less than the length of the line divided by the speed of light.

Power loss is a major concern when designing these systems.

Transmission line animation3.gif
Transmission line animation3.gif
One type of loss is ohmic or resistive loss, where energy is lost due to the resistance of the conductors. At high frequencies, dielectric loss also becomes significant. This happens when the insulating material absorbs energy from the electric field and turns it into heat. Total power loss is often measured in decibels per metre (dB/m). A loss of 3 dB/m is a significant amount, as it represents approximately a halving of the power.

Transmission lines are essential for almost all modern high-speed communication. They serve as feed lines to connect radio transmitters to their antennas. They are also used for computer network connections and high-speed computer data buses. In very high-frequency applications, such as microwaves, engineers switch from transmission lines to waveguides. Waveguides act like pipes to confine and guide electromagnetic waves. By mastering the physics of these lines, we can move massive amounts of data across the world with incredible precision.

SmithChartLineLength.svg
SmithChartLineLength.svg

631 words
🖼️ Images & Media (12)
File:Transmission line animation3.gif
Transmission line animation3.gif
File:Coaxial cable cut.jpg
Coaxial cable cut.jpg
File:Transmission line 4 port.svg
Transmission line 4 port.svg
File:Transmission line symbols.svg
Transmission line symbols.svg
File:TransmissionLineDefinitions.svg
TransmissionLineDefinitions.svg
File:Gaussian pulse in a balanced transmission line.png
Gaussian pulse in a balanced transmission line.png
File:Transmission line element.svg
Transmission line element.svg
File:SmithChartLineLength.svg
SmithChartLineLength.svg
File:Transmission line animation open short2.gif
Transmission line animation open short2.gif
File:Solec Kujawski longwave antenna feeder.jpg
Solec Kujawski longwave antenna feeder.jpg
File:Segments.jpg
Segments.jpg
File:PolarSmith.jpg
PolarSmith.jpg
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