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Electromagnetic coil

 
Wikipedia: Electromagnetic coil
Diagram of typical transformer configurations

An electromagnetic coil (or simply a "coil") is formed when a conductor (usually a solid copper wire) is wound around a core or form to create an inductor or electromagnet. One loop of wire is usually referred to as a turn, and a coil consists of one or more turns. For use in an electronic circuit, electrical connection terminals called taps are often connected to a coil. Coils are often coated with varnish and/or wrapped with insulating tape to provide additional insulation and secure them in place. A completed coil assembly with taps etc. is often called a winding. A transformer is an electromagnetic device that has a primary winding and a secondary winding that transfers energy from one electrical circuit to another by magnetic coupling without moving parts. The term tickler coil usually refers to a third coil placed in relation to a primary coil and secondary coil. A coil tap is a wiring feature found on some electrical transformers, inductors and coil pickups, all of which are sets of wire coils. The coil tap(s) are points in a wire coil where a conductive patch has been exposed (usually on a loop of wire that extends out of the main coil body). As self induction is larger for larger coil diameter the current in a thick wire tries to flow on the inside. The ideal use of copper is achieved by foils. Sometimes this means that a spiral is a better alternative. Multilayer coils have the problem of interlayer capacitance, so when multiple layers are needed the shape needs to be radically changed to a short coil with many layers so that the voltage between consecutive layers is smaller (making them more spiral like).

Contents

Analysis

Inductance

The inductance of single-layer coils can be calculated to a reasonable degree of accuracy with the simplified formula

\mathrm{\mu H}= \frac{R^2 N^2}{9 R + 10 L}

where µH (microhenries) are units of inductance, R is the coil radius (measured in inches to the center of the conductor), N is the number of turns, and L is the length of the coil in inches. Higher accuracy estimates of coil inductance require calculations of considerably greater complexity.

Magnetic field

When a constant current is driven through a coil, the on-axis magnetic field B\; generated by a coil -- derived from the Biot-Savart law -- is approximately

 B = \frac{\mu_0 n I R^2}{2(R^2+x^2)^{3/2}}

Where:

\mu_0\; = the permeability constant =  4\pi \times 10^{-7} \text{ T}\cdot\text{m/A} = 1.26 \times 10^{-6} \text{ T}\cdot\text{m/A}
n\; = number of wire loops in one coil
I\; = coil current, in amperes
R\; = coil radius, in meters
x\; = coil distance, on axis, to point, in meters

Coil examples

Nikola Tesla's flat spiral coil.

Some common electromagnetic coils include:

Other applications of coils exist in the field of electromagnetic devices. A coilgun is a type of cannon that uses a series of electromagnetic coils to accelerate a magnetic shell to very high velocities. The filament of an incandescent light bulb has usually the shape of a coiled coil, in order to fit the long filament in a small space.

Further reading

  • Querfurth, William, "Coil winding; a description of coil winding procedures, winding machines and associated equipment for the electronic industry" (2d ed.). Chicago, G. Stevens Mfg. Co., 1958.
  • Weymouth, F. Marten, "Drum armatures and commutators (theory and practice) : a complete treatise on the theory and construction of drum winding, and of commutators for closed-coil armatures, together with a full résumé of some of the principal points involved in their design; and an exposition of armature reactions and sparking". London, "The Electrician" Printing and Publishing Co., 1893.
  • "Coil winding proceedings". International Coil Winding Association.
  • Chandler, R. H., "Coil coating review, 1970-76". Braintree, R. H. Chandler Ltd, 1977.
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Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Electromagnetic coil" Read more