Magnetic Field of a Solenoid - Revision history

Ramin8: /* The Main Idea */

2015-12-06T03:24:55Z

The Main Idea

← Older revision		Revision as of 23:24, 5 December 2015
Line 6:		Line 6:
	==The Main Idea==		==The Main Idea==
	[[File:Io15.gif\|200px\|thumb\|right\|alt text]]		[[File:Io15.gif\|200px\|thumb\|right\|alt text]]
	The purpose of this application is to explore another way to apply the Biot-Sarvart law. The magnetic field is uniform along the axis of the solenoid, when electric current is run through it. The solenoid ~~has~~ has to have coils much larger than the radius. The length of the coil is much larger than the diameter, and its often wrapped around a metal rod. The rod produces a magnetic field when an electric current is passed through it.		The purpose of this application is to explore another way to apply the Biot-Sarvart law. The magnetic field is uniform along the axis of the solenoid, when electric current is run through it. The solenoid has to have coils much larger than the radius. The length of the coil is much larger than the diameter, and its often wrapped around a metal rod. The rod produces a magnetic field when an electric current is passed through it.

	A solenoid is a type of electromagnet when it is used to create a controlled magnetic field or if it is used to resist a current changing, then it is an inductor.		A solenoid is a type of electromagnet when it is used to create a controlled magnetic field or if it is used to resist a current changing, then it is an inductor.

Ramin8: /* External links */

2015-12-06T03:20:34Z

External links

← Older revision		Revision as of 23:20, 5 December 2015
Line 137:		Line 137:
	===External links===		===External links===
	http://www.gouldvalve.com/wp-content/uploads/2009/05/typical-uses-pages-1-3.pdf		http://www.gouldvalve.com/wp-content/uploads/2009/05/typical-uses-pages-1-3.pdf
			http://www.deltrol-controls.com/products/solenoids
			https://www.pa.msu.edu/courses/2000fall/PHY232/lectures/ampereslaw/solenoid.html

	==References==		==References==

Ramin8: /* External links */

2015-12-06T03:19:40Z

External links

← Older revision		Revision as of 23:19, 5 December 2015
Line 136:		Line 136:

	===External links===		===External links===
	[http://www.gouldvalve.com/wp-content/uploads/2009/05/typical-uses-pages-1-3.pdf]		http://www.gouldvalve.com/wp-content/uploads/2009/05/typical-uses-pages-1-3.pdf


	==References==		==References==

Ramin8: /* History */

2015-12-06T03:19:25Z

History

← Older revision		Revision as of 23:19, 5 December 2015
Line 119:		Line 119:

	Andre-Marie Ampere originally coined the word "Solenoid" in the 1820's, which he used to describe a helical coil. He probably used solenoid while he was developing the theory for Ampere's Law, which can be used to find the magnetic field of a solenoid.		Andre-Marie Ampere originally coined the word "Solenoid" in the 1820's, which he used to describe a helical coil. He probably used solenoid while he was developing the theory for Ampere's Law, which can be used to find the magnetic field of a solenoid.
	[[File:Andre-marie-ampere-3.jpg\|200px\|thumb\|right\|~~alt text~~]]		[[File:Andre-marie-ampere-3.jpg\|200px\|thumb\|right\|Andre-Marie Ampere]]

	== See also ==		== See also ==

Ramin8: /* A Computational Model */

2015-12-06T03:15:25Z

A Computational Model

← Older revision		Revision as of 23:15, 5 December 2015
Line 26:		Line 26:
	===A Computational Model===		===A Computational Model===
	A solenoid has a length of .5 meters and a radius of .03 meters and wound around 50 times a wire that has a current of 1 ampere. Find the magnetic field vectors.		A solenoid has a length of .5 meters and a radius of .03 meters and wound around 50 times a wire that has a current of 1 ampere. Find the magnetic field vectors.

	from visual import ∗		from visual import ∗

Ramin8: /* The Main Idea */

2015-12-06T03:15:02Z

The Main Idea

← Older revision		Revision as of 23:15, 5 December 2015
Line 5:		Line 5:

	==The Main Idea==		==The Main Idea==
	[[File:Io15.gif\|200px\|thumb\|right\|alt text]]]		[[File:Io15.gif\|200px\|thumb\|right\|alt text]]
	The purpose of this application is to explore another way to apply the Biot-Sarvart law. The magnetic field is uniform along the axis of the solenoid, when electric current is run through it. The solenoid has has to have coils much larger than the radius.		The purpose of this application is to explore another way to apply the Biot-Sarvart law. The magnetic field is uniform along the axis of the solenoid, when electric current is run through it. The solenoid has has to have coils much larger than the radius. The length of the coil is much larger than the diameter, and its often wrapped around a metal rod. The rod produces a magnetic field when an electric current is passed through it.

			A solenoid is a type of electromagnet when it is used to create a controlled magnetic field or if it is used to resist a current changing, then it is an inductor.


Line 64:		Line 66:


	for x in arange(		for x in arange(-L/2, L/2+dx, dx):

			for y in [-.05,-.04, -.02,-.01,0,.01,.02,.03,.04,.05]:

			aa = arrow (pos = (x,y,zz), axis = (0,0,0), color = color.cyan, shaftwidth = .0003)

			Barrows.append(aa)

			for b in Barrows:

			for point in solenoid.pos:

			dl = point - dlstart

			r = b.pos - (dlstart +dl/2)

			b.axis = b.axis + (-bscalekmagIcross(dl, norm(r)))/mag(r)*2

			dlstart = point

	==Examples==		==Examples==

Ramin8 at 02:57, 6 December 2015

2015-12-06T02:57:32Z

← Older revision		Revision as of 22:57, 5 December 2015
Line 5:		Line 5:

	==The Main Idea==		==The Main Idea==
			[[File:Io15.gif\|200px\|thumb\|right\|alt text]]]
	The purpose of this application is to explore another way to apply the Biot-Sarvart law. The magnetic field is uniform along the axis of the solenoid, when electric current is run through it. The solenoid has has to have coils much larger than the radius.		The purpose of this application is to explore another way to apply the Biot-Sarvart law. The magnetic field is uniform along the axis of the solenoid, when electric current is run through it. The solenoid has has to have coils much larger than the radius.

Ramin8 at 02:55, 6 December 2015

2015-12-06T02:55:45Z

← Older revision		Revision as of 22:55, 5 December 2015
Line 79:		Line 79:
	The origin of the solenoid is at its center. To find the location of one piece we have to find the integration variable, which is x, and then the distance from the loop to the observation location is d-z. There are also N/L loops in the solenoid so the number of loops in the length <math>\Delta x</math> is N/L*<math>\Delta E</math>.		The origin of the solenoid is at its center. To find the location of one piece we have to find the integration variable, which is x, and then the distance from the loop to the observation location is d-z. There are also N/L loops in the solenoid so the number of loops in the length <math>\Delta x</math> is N/L*<math>\Delta E</math>.

	So this the equation we have so far using the magnetic field formula:		So this the equation we have so far using the magnetic field formula, shown as the top image on the right.
	[[File:FullSizeRenderRadz.jpg\|200px\|thumb\|right\|~~alt text~~]]		[[File:FullSizeRenderRadz.jpg\|200px\|thumb\|right\|Equation]]

	Step 2: Add Up all the Pieces		Step 2: Add Up all the Pieces
Line 86:		Line 86:
	The net magnetic field lies along the axis and the sum is <math>\Delta B</math>.		The net magnetic field lies along the axis and the sum is <math>\Delta B</math>.

	This can be turned into a integral from -L/2 to L/2:		This can be turned into a integral from -L/2 to L/2, shown as the bottom image on the right.
	[[File:FullSizeRenderRads1.jpg\|200px\|thumb\|right\|~~alt text~~]]		[[File:FullSizeRenderRads1.jpg\|200px\|thumb\|right\|The Integral]]

Ramin8 at 02:54, 6 December 2015

2015-12-06T02:54:40Z

← Older revision		Revision as of 22:54, 5 December 2015
Line 80:		Line 80:

	So this the equation we have so far using the magnetic field formula:		So this the equation we have so far using the magnetic field formula:
	[[File:FullSizeRenderRadz.jpg]]		[[File:FullSizeRenderRadz.jpg\|200px\|thumb\|right\|alt text]]

	Step 2: Add Up all the Pieces		Step 2: Add Up all the Pieces
Line 87:		Line 87:

	This can be turned into a integral from -L/2 to L/2:		This can be turned into a integral from -L/2 to L/2:
	[[File:FullSizeRenderRads1.jpg]]		[[File:FullSizeRenderRads1.jpg\|200px\|thumb\|right\|alt text]]


Line 99:		Line 99:

	Andre-Marie Ampere originally coined the word "Solenoid" in the 1820's, which he used to describe a helical coil. He probably used solenoid while he was developing the theory for Ampere's Law, which can be used to find the magnetic field of a solenoid.		Andre-Marie Ampere originally coined the word "Solenoid" in the 1820's, which he used to describe a helical coil. He probably used solenoid while he was developing the theory for Ampere's Law, which can be used to find the magnetic field of a solenoid.
	[[File:Andre-marie-ampere-3.jpg]]		[[File:Andre-marie-ampere-3.jpg\|200px\|thumb\|right\|alt text]]

	== See also ==		== See also ==

Ramin8 at 02:52, 6 December 2015

2015-12-06T02:52:50Z

@@ Line 77: / Line 77: @@
 Step 2: Write an Equation for the Magnetic Field Due to One Piece
-The origin of the solenoid is at its center. To find the location of one piece we have to find the integration variable, which is x, and then the distance from the loop to the observation location is d-z. There are also N/L loops in the solenoud so the number of loops in the length <math>/Delta{x}</math> is
+The origin of the solenoid is at its center. To find the location of one piece we have to find the integration variable, which is x, and then the distance from the loop to the observation location is d-z. There are also N/L loops in the solenoid so the number of loops in the length <math>\Delta x</math> is N/L*<math>\Delta E</math>.
 ==Connectedness==