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Small toroidal inductors with ferrite core Traditional transformers wound on rectangular-shaped cores. Interior of a linear power supply with toroidal mains transformer. Toroidal inductors and transformers are inductors and transformers which use magnetic cores with a toroidal (ring or donut) shape.
Leakage inductance derives from the electrical property of an imperfectly coupled transformer whereby each winding behaves as a self-inductance in series with the winding's respective ohmic resistance constant. These four winding constants also interact with the transformer's mutual inductance. The winding leakage inductance is due to leakage ...
The table below lists formulas for the self-inductance of various simple shapes made of thin cylindrical conductors (wires). In general these are only accurate if the wire radius a {\displaystyle a} is much smaller than the dimensions of the shape, and if no ferromagnetic materials are nearby (no magnetic core ).
In practice, an instrument will use a lossy integrator with a time constant much less than the lowest frequency of interest. The lossy integrator will reduce the effects of offset voltages and set the constant of integration to zero. At high frequencies, the Rogowski coil's inductance will decrease its output. The inductance of a toroid is [8]
In electrical terms, this means that the self-inductance of the coil is zero. The bifilar coil (more often called the bifilar winding) is used in modern electrical engineering as a means of constructing wire-wound resistors with negligible parasitic self-inductance. [1] Bifilar wound toroidal transformer, also known as a common-mode choke
Thus, for a typical inductance (a coil of conducting wire), the flux linkage is equivalent to magnetic flux, which is the total magnetic field passing through the surface (i.e., normal to that surface) formed by a closed conducting loop coil and is determined by the number of turns in the coil and the magnetic field, i.e.,
Toroidal cores are used despite the high manufacturing costs (a great deal of manual work) due to the low magnetic flux leakage (MFL – Leakage inductance), low core losses and the good power density. One possible quality feature of transformers is a uniform distribution of the windings along the circumference (low stray field).
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