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		<title>en&gt;Doctorhook: /* Finite fields */ Updated characteristic 2</title>
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		<updated>2014-02-01T16:35:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Finite fields: &lt;/span&gt; Updated characteristic 2&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Image:Tachometer 2011 honda civic.jpg|thumb|right|An auto tachometer has a sweep of about 240-250 degrees and typically uses an air core gauge.]]&lt;br /&gt;
An &amp;#039;&amp;#039;&amp;#039;air core gauge&amp;#039;&amp;#039;&amp;#039; is a specific type of [[rotary actuator]] in an analog display gauge that allows an indicator to rotate a full 360 degrees.  It is used in gauges and displays, most commonly automotive instrument clusters.  &lt;br /&gt;
&lt;br /&gt;
A typical automotive application is shown at the right.  The air core gauge is a type of &amp;quot;air-core motor&amp;quot;.  It may be considered a &amp;quot;gauge movement&amp;quot; or &amp;quot;pointer indication device&amp;quot;.&amp;lt;ref name=&amp;quot;Simco&amp;quot; &amp;gt;[http://www.simcoltd.com/specialty-oem/micro-air-core/  Simco meter movements]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Background ==&lt;br /&gt;
There are four common types of rotary actuators:&amp;lt;ref name=fourtypes &amp;gt;[http://howto.globalvicinity.com/gv_wiki.php?wi=309&amp;amp;co=1&amp;amp;vi=1 Comparing Gauge Movements]&amp;lt;/ref&amp;gt;&lt;br /&gt;
* Physical gauges, in which the needle is attached directly to the value being measured; for example, a mechanical [[pressure gauge]]&lt;br /&gt;
* Analog volt meters or d&amp;#039;Arsonval movements, which consist of a coil and a [[permanent magnet]]&lt;br /&gt;
* [[Stepper motor]]s, which move in one-notch increments or steps&lt;br /&gt;
* Air-core motors, as described below.&lt;br /&gt;
&lt;br /&gt;
== Construction and operation ==&lt;br /&gt;
The air core gauge consists of two independent, perpendicular coils surrounding a hollow chamber.  A needle shaft protrudes into the chamber, where a permanent magnet is affixed to the shaft. When [[electric current|current]] flows through the perpendicular coils, their [[magnetic fields]] superimpose and the  magnet is free to align with the combined fields. &lt;br /&gt;
&lt;br /&gt;
[[Image:Air core actuator pcb mounting honda.jpg|thumb|right|Back side of an auto instrument cluster showing four mounting terminals for an air core gauge.]] &lt;br /&gt;
A typical air core gauge has four terminals, two for each coil, as shown. The two coils are identified as the [[sine]] coil and the [[cosine]] coil.&lt;br /&gt;
&lt;br /&gt;
=== Theory ===&lt;br /&gt;
The direction &amp;lt;math&amp;gt;\theta&amp;lt;/math&amp;gt; of the overall magnetic field is approximately:&lt;br /&gt;
: &amp;lt;math&amp;gt;\theta = \arctan \left( \frac{y}{x} \right)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Where &amp;lt;math&amp;gt;x&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;y&amp;lt;/math&amp;gt; are the coils&amp;#039; respective currents. The permanent magnet aligns itself with that field, eventually settling near &amp;lt;math&amp;gt;\theta&amp;lt;/math&amp;gt;. In this way, by proportioning the current through each coil, the needle can reach all 360° of rotation.&amp;lt;ref name=fourtypes /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Example ===&lt;br /&gt;
If the sin coil current is 50 mA and the cos current is 29 mA:&lt;br /&gt;
&lt;br /&gt;
The coil current ratio is 0.58, and arctan 0.58 = 30 degrees.&lt;br /&gt;
&lt;br /&gt;
== Drivers ==&lt;br /&gt;
Air core gauges require special electronics to properly drive the coils.  Driver [[integrated circuit]]s typically have a serial input data port and two pair of output lines.  One pair of the output lines drives the sin coil and one pair drives the cos coil.&lt;br /&gt;
&lt;br /&gt;
The input data defines:&lt;br /&gt;
* The quadrant to which the actuator will point.  This defines the [[Electrical polarity|polarity]] of the [[voltage]] to the sin coil and the cos coil.&lt;br /&gt;
* The desired number of degrees within the quadrant.&lt;br /&gt;
&lt;br /&gt;
Some typical driver ICs include:&lt;br /&gt;
*  On Semiconductor CS4172 16 pin dual inline package&lt;br /&gt;
*  On Semiconductor CS4192 surface mount package&lt;br /&gt;
*  Melexis MLX10407&lt;br /&gt;
*  Melexis MLX10420&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[Electronic instrument cluster]]&lt;br /&gt;
* [[Electric motor]]&lt;br /&gt;
* [[Dashboard]]&lt;br /&gt;
* [[Gauge (instrument)]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Actuators]]&lt;br /&gt;
[[Category:Measuring instruments]]&lt;/div&gt;</summary>
		<author><name>en&gt;Doctorhook</name></author>
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