Editing Phantom circuit (section)

==Phantom group==
[[Image:Phantom 1.svg|thumb|400px|Phantom circuit derived from two subscriber circuits]]

A '''phantom group''' is composed of three circuits that are derived from two single-channel circuits to form a ''phantom circuit''. Here the phantom circuit is a third circuit derived from two suitably arranged pairs of wires, called side circuits, with each pair of wires being a circuit in itself and at the same time acting as one conductor of the third circuit.  The "side circuits" within phantom circuits can be coupled to their respective [[voltage drop]]s by [[transformer|center-tapped transformer]]s, usually called "[[repeating coil]]s". The center taps are on the line side of the side circuits. Current from the phantom circuit is split evenly by the center taps. This cancels [[crosstalk]] from the phantom circuit to the side circuits. 
[[Image:Phantom 2.svg|thumb|left|250px|Diagram showing how the phantom currents (red) cancel in the transformer. Side circuit currents (blue) do not cancel and are transmitted through the transformer.]]

Phantom working increased the number of circuits on long-distance routes in the early 20th century without putting up more wires.{{citation needed|date=August 2024}} Phantoming declined with the adoption of [[carrier system]]s.{{citation needed|date=August 2024}}

It is theoretically possible to create a phantom circuit from two other phantom circuits and so on up in a pyramid with a maximum 2n-1 circuits being derived from n original circuits.  However, more than one level of phantoming is usually impractical.  Isolation between the phantom circuit and the side circuits relies on accurate [[Balanced circuit|balance]] of the line and transformers.  Imperfect balance results in crosstalk between the phantom and side circuits and this effect accumulates as each level of phantoms is added.  Even small levels of crosstalk are unacceptable on analogue telecommunications circuits since speech crosstalk is still intelligible down to quite low levels.
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