Curly Electric Fields - Revision history

Mfyfe3: /* Outside Path */

2015-12-02T16:41:42Z

Outside Path

← Older revision		Revision as of 12:41, 2 December 2015
Line 83:		Line 83:
	====Outside Path====		====Outside Path====

	For any round-trip path that lies outside the solenoid--that is, it does not encircle the solenoid-- the emf is equal to zero. In the picture below,		For any round-trip path that lies outside the solenoid--that is, it does not encircle the solenoid-- the emf is equal to zero. In the picture below, the path on the left ''does'' encircle the solenoid, and therefore has a nonzero emf. However, the rightmost path ''does not'' encircle the solenoid, and therefore that path has a zero emf value.

	[[File:encricleemf.png\|400px\|thumb\|center\|''When the solenoid is not encircled by the path, emf = 0'']]		[[File:encricleemf.png\|400px\|thumb\|center\|''When the solenoid is not encircled by the path, emf = 0'']]

	==External Links==		==External Links==

Mfyfe3 at 16:39, 2 December 2015

2015-12-02T16:39:31Z

← Older revision		Revision as of 12:39, 2 December 2015
Line 75:		Line 75:
	The non-Coulombic curly electric field has the potential to create an effect akin to that of a battery; if a circular metal ring is placed around a solenoid with increasing magnetic field over time (see image), the curly electric field in the solenoid will drive the current in the metal ring clockwise. Further, as in an ordinary circuit, the current in the ring will be proportional to the electric field.		The non-Coulombic curly electric field has the potential to create an effect akin to that of a battery; if a circular metal ring is placed around a solenoid with increasing magnetic field over time (see image), the curly electric field in the solenoid will drive the current in the metal ring clockwise. Further, as in an ordinary circuit, the current in the ring will be proportional to the electric field.

	===~~Emf~~ in Non-Coulomb Field===		===emf in Non-Coulomb Field===

	The emf in a non-Coulomb field such as the curly electric field can be computed as the energy input per unit charge. Therefore the equation for emf in a non-Coulombic field is calculated thus:		The emf in a non-Coulomb field such as the curly electric field can be computed as the energy input per unit charge. Therefore the equation for emf in a non-Coulombic field is calculated thus:
Line 81:		Line 81:
	: <math> emf = \oint \vec{E}_{NC} \bullet {d}{\vec{l}} </math>		: <math> emf = \oint \vec{E}_{NC} \bullet {d}{\vec{l}} </math>

	====Outside Path====		====Outside Path====

			For any round-trip path that lies outside the solenoid--that is, it does not encircle the solenoid-- the emf is equal to zero. In the picture below,

			[[File:encricleemf.png\|400px\|thumb\|center\|''When the solenoid is not encircled by the path, emf = 0'']]

	==External Links==		==External Links==

Mfyfe3 at 16:34, 2 December 2015

2015-12-02T16:34:54Z

← Older revision		Revision as of 12:34, 2 December 2015
Line 71:		Line 71:
	==Driving Current with Curly Electric Field==		==Driving Current with Curly Electric Field==

	[[File:~~current~~.png\|250px\|thumb\|left\|''The non-Coulombic curly electric field drives the current in the metal ring'']]		[[File:Currentinefield.png\|250px\|thumb\|left\|''The non-Coulombic curly electric field drives the current in the metal ring'']]

	The non-Coulombic curly electric field has the potential to create an effect akin to that of a battery; if a circular metal ring is placed around a solenoid with increasing magnetic field over time (see image), the curly electric field in the solenoid will drive the current in the metal ring clockwise. Further, as in an ordinary circuit, the current in the ring will be proportional to the electric field.		The non-Coulombic curly electric field has the potential to create an effect akin to that of a battery; if a circular metal ring is placed around a solenoid with increasing magnetic field over time (see image), the curly electric field in the solenoid will drive the current in the metal ring clockwise. Further, as in an ordinary circuit, the current in the ring will be proportional to the electric field.

			===Emf in Non-Coulomb Field===

			The emf in a non-Coulomb field such as the curly electric field can be computed as the energy input per unit charge. Therefore the equation for emf in a non-Coulombic field is calculated thus:

			: <math> emf = \oint \vec{E}_{NC} \bullet {d}{\vec{l}} </math>

			====Outside Path====

Mfyfe3 at 16:26, 2 December 2015

2015-12-02T16:26:16Z

← Older revision		Revision as of 12:26, 2 December 2015
Line 68:		Line 68:
	*Magnetic field out of the page and decreasing <math> \rightarrow </math> Counterclockwise curly electric field		*Magnetic field out of the page and decreasing <math> \rightarrow </math> Counterclockwise curly electric field
	*Magnetic field into the page and decreasing <math> \rightarrow </math> Clockwise curly electric field		*Magnetic field into the page and decreasing <math> \rightarrow </math> Clockwise curly electric field

			==Driving Current with Curly Electric Field==

			[[File:current.png\|250px\|thumb\|left\|''The non-Coulombic curly electric field drives the current in the metal ring'']]

			The non-Coulombic curly electric field has the potential to create an effect akin to that of a battery; if a circular metal ring is placed around a solenoid with increasing magnetic field over time (see image), the curly electric field in the solenoid will drive the current in the metal ring clockwise. Further, as in an ordinary circuit, the current in the ring will be proportional to the electric field.


	==External Links==		==External Links==

Mfyfe3 at 16:13, 2 December 2015

2015-12-02T16:13:58Z

← Older revision		Revision as of 12:13, 2 December 2015
Line 74:		Line 74:

	==References==		==References==
	*''Matter and Interactions'', Vol. 2 by Chabay and Sherwood		#''Matter and Interactions'', Vol. 2 by Chabay and Sherwood
	*http://physwiki.ucdavis.edu/Fundamentals/11._Electromagnetism/11.5_Induced_Electric_Fields		#http://physwiki.ucdavis.edu/Fundamentals/11._Electromagnetism/11.5_Induced_Electric_Fields
	*http://www.phy.uct.ac.za/courses/opencontent/phy1004w/1004W%20EM%2022.pdf		#http://www.phy.uct.ac.za/courses/opencontent/phy1004w/1004W%20EM%2022.pdf

Mfyfe3 at 16:11, 2 December 2015

2015-12-02T16:11:43Z

← Older revision		Revision as of 12:11, 2 December 2015
Line 1:		Line 1:
	''Written by Miranda Fyfe''		''Written by Miranda Fyfe''

			The '''Curly Electric Field''' is the non-Coulombic result of a changing current and time-varying magnetic field.

			==Definition==

	In the case where current in a solenoid is constant and magnetic force is likewise constant in time, it can be observed that the magnetic and electric forces experienced by some moving charge outside the solenoid are essentially zero.		In the case where current in a solenoid is constant and magnetic force is likewise constant in time, it can be observed that the magnetic and electric forces experienced by some moving charge outside the solenoid are essentially zero.

Mfyfe3 at 16:09, 2 December 2015

2015-12-02T16:09:05Z

← Older revision		Revision as of 12:09, 2 December 2015
Line 1:		Line 1:
	Written by Miranda Fyfe.		''Written by Miranda Fyfe''

	In the case where current in a solenoid is constant and magnetic force is likewise constant in time, it can be observed that the magnetic and electric forces experienced by some moving charge outside the solenoid are essentially zero.		In the case where current in a solenoid is constant and magnetic force is likewise constant in time, it can be observed that the magnetic and electric forces experienced by some moving charge outside the solenoid are essentially zero.

	However, in the situation where current in the solenoid is changing and magnetic force is thereby time-varying, a '''~~curly electric field~~''' can be observed.		However, in the situation where current in the solenoid is changing and magnetic force is thereby time-varying, a '''Curly Electric Field''' can be observed.

	[[File:curlyefield2.png\|275px\|thumb\|center\|''The '''curly electric field''' curls around the axis of the solenoid'']]		[[File:curlyefield2.png\|275px\|thumb\|center\|''The '''curly electric field''' curls around the axis of the solenoid'']]

Mfyfe3 at 16:08, 2 December 2015

2015-12-02T16:08:16Z

← Older revision		Revision as of 12:08, 2 December 2015
Line 1:		Line 1:
	~~This topic is claimed~~ by Miranda Fyfe.		Written by Miranda Fyfe.

	~~==Curly Electric Fields==~~

	In the case where current in a solenoid is constant and magnetic force is likewise constant in time, it can be observed that the magnetic and electric forces experienced by some moving charge outside the solenoid are essentially zero.		In the case where current in a solenoid is constant and magnetic force is likewise constant in time, it can be observed that the magnetic and electric forces experienced by some moving charge outside the solenoid are essentially zero.

Mfyfe3 at 16:02, 2 December 2015

2015-12-02T16:02:43Z

← Older revision		Revision as of 12:02, 2 December 2015
Line 66:		Line 66:
	*Magnetic field out of the page and decreasing <math> \rightarrow </math> Counterclockwise curly electric field		*Magnetic field out of the page and decreasing <math> \rightarrow </math> Counterclockwise curly electric field
	*Magnetic field into the page and decreasing <math> \rightarrow </math> Clockwise curly electric field		*Magnetic field into the page and decreasing <math> \rightarrow </math> Clockwise curly electric field

			==External Links==
			*http://physwiki.ucdavis.edu/Fundamentals/11._Electromagnetism/11.5_Induced_Electric_Fields
			*http://www.phy.uct.ac.za/courses/opencontent/phy1004w/1004W%20EM%2022.pdf

			==References==
			*''Matter and Interactions'', Vol. 2 by Chabay and Sherwood
			*http://physwiki.ucdavis.edu/Fundamentals/11._Electromagnetism/11.5_Induced_Electric_Fields
			*http://www.phy.uct.ac.za/courses/opencontent/phy1004w/1004W%20EM%2022.pdf

Mfyfe3 at 15:58, 2 December 2015

2015-12-02T15:58:44Z

← Older revision		Revision as of 11:58, 2 December 2015
Line 17:		Line 17:
	This electric field is proportional to the rate of change of the magnetic field <math> ( \frac{\delta B}{\delta t} ) </math>.		This electric field is proportional to the rate of change of the magnetic field <math> ( \frac{\delta B}{\delta t} ) </math>.

	====Inside the solenoid====		===Inside the solenoid===
	Curly electric field is proportional to distance from the solenoid axis, ''r''.		Curly electric field is proportional to distance from the solenoid axis, ''r''.

	====Outside the solenoid====		===Outside the solenoid===
	Curly electric field is proportional to 1/''r'', with the field decreasing as distance from the axis increases.		Curly electric field is proportional to 1/''r'', with the field decreasing as distance from the axis increases.

Line 26:		Line 26:
	''Read more about the [[Non-Coulomb Electric Field]]''		''Read more about the [[Non-Coulomb Electric Field]]''

	====Coulomb Electric Field====		===Coulomb Electric Field===

	Any electric field in accordance with Coulomb's law is said to be a ''Coulomb electric field''.		Any electric field in accordance with Coulomb's law is said to be a ''Coulomb electric field''.
Line 32:		Line 32:
	Coulomb's Law: <math> \vec{E} = \frac{1}{4{\pi}{{\epsilon}_0}} \frac{q}{r^2} \hat{r} </math>		Coulomb's Law: <math> \vec{E} = \frac{1}{4{\pi}{{\epsilon}_0}} \frac{q}{r^2} \hat{r} </math>

	====Non-Coulomb Electric Field====		===Non-Coulomb Electric Field===

	An electric field associated with a time-varying magnetic field, i.e. the curly electric field.		An electric field associated with a time-varying magnetic field, i.e. the curly electric field.

	====Effect on charges====		===Effect on charges===

	The curly electric field has a standard effect on charges <math> ( \vec{F} = q\vec{E} ) </math>		The curly electric field has a standard effect on charges <math> ( \vec{F} = q\vec{E} ) </math>
Line 44:		Line 44:
	==Direction of Curly Electric Field==		==Direction of Curly Electric Field==

	====Faraday's Experiment====		===Faraday's Experiment===

	[[File:faraday.png\|300px\|thumb\|right\|''The setup and observations from Faraday's experiment'']]		[[File:faraday.png\|300px\|thumb\|right\|''The setup and observations from Faraday's experiment'']]
Line 52:		Line 52:
	Because an effect could only be gauged when the magnetic field was changing, it was concluded that this effect was proportional to <math> ( \frac{\delta B}{\delta t} ) </math>		Because an effect could only be gauged when the magnetic field was changing, it was concluded that this effect was proportional to <math> ( \frac{\delta B}{\delta t} ) </math>

	====Finding the Direction====		===Finding the Direction===

	Implementing this proportion takes the process a step further; a [[Right Hand Rule]] can be utilized to pinpoint the direction of the curly electric field as follows:		Implementing this proportion takes the process a step further; a [[Right Hand Rule]] can be utilized to pinpoint the direction of the curly electric field as follows: