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4. Motional EMF A Quantitative Interpretation of Motional EMF Motional EMF Induction, AC Circuits, and Electrical Technolo... > Motional EMF Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics?campaign_content=book_5869_section_162&campaign_term=Physics&utm_campaign=powerpoint&utm_medium= direct&utm_source=boundless

5. Faraday's law of induction can be used to calculate the motional EMF when a change in magnetic flux is caused by a moving element in a system. That a moving magnetic field produces an electric field (and conversely that a moving electric field produces a magnetic field) is part of the reason electric and magnetic forces are now considered as different manifestations of the same force. Any change in magnetic flux induces an electromotive force (EMF) opposing that change—a process known as induction. Motion is one of the major causes of induction. Motional EMF Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/induction-ac-circuits- and-electrical-technologies-inductance-20/motional-emf-162/motional-emf-579- 6257?campaign_content=book_5869_section_162&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bou ndless Motional EMF View on Boundless.com Induction, AC Circuits, and Electrical Technolo... > Motional EMF

6. Motional and induced EMF are the same phenomenon, just observed in different reference frames. Equivalence of the two phenomena is what triggered Einstein to work on special relativity. A Quantitative Interpretation of Motional EMF Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/induction-ac-circuits- and-electrical-technologies-inductance-20/motional-emf-162/a-quantitative-interpretation-of-motional-emf-580- 5633?campaign_content=book_5869_section_162&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bou ndless Conductor Loop Moving Into a Magnet View on Boundless.com Induction, AC Circuits, and Electrical Technolo... > Motional EMF

7. The EMF produced due to the relative motion of the loop and magnet is given as [Equation 1] (Eq. 1), where L is the length of the object moving at speed v relative to the magnet. Induction, AC Circuits, and Electrical Technolo... > Motional EMF Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/induction-ac-circuits- and-electrical-technologies-inductance-20/motional-emf-162/a-quantitative-interpretation-of-motional-emf-580- 5633?campaign_content=book_5869_section_162&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bou ndless Equation 1 View on Boundless.com

8. The EMF can be calculated from two different points of view: 1) in terms of the magnetic force on moving electrons in a magnetic field, and 2) in terms of the rate of change in magnetic flux. Both yield the same result. Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/induction-ac-circuits- and-electrical-technologies-inductance-20/motional-emf-162/a-quantitative-interpretation-of-motional-emf-580- 5633?campaign_content=book_5869_section_162&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=bou ndless Induction, AC Circuits, and Electrical Technolo... > Motional EMF

9. Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

10. Key terms electromotive force (EMF)—The voltage generated by a battery or by the magnetic force according to Faraday's Law. It is measured in units of volts, not newtons, and thus, is not actually a force. frame of reference A coordinate system or set of axes within which to measure the position, orientation, and other properties of objects in it. induction The generation of an electric current by a varying magnetic field. magnetic field A condition in the space around a magnet or electric current in which there is a detectable magnetic force, and where two magnetic poles are present. magnetic flux A measure of the strength of a magnetic field in a given area. special relativity A theory that (neglecting the effects of gravity) reconciles the principle of relativity with the observation that the speed of light is constant in all frames of reference. Free to share, print, make copies and changes. Get yours at www.boundless.com Induction, AC Circuits, and Electrical Technolo...

11. Conductor Loop Moving Into a Magnet (a) Motional EMF. The current loop is moving into a stationary magnet. The direction of the magnetic field is into the screen. (b) Induced EMF. Current loop is stationary, and the magnet is moving. Free to share, print, make copies and changes. Get yours at www.boundless.com Amazon Web Services. "Boundless." CC BY http://s3.amazonaws.com/figures.boundless.com/51154f34e4b0c14bf464da40/1.jpg View on Boundless.comCC BYhttp://s3.amazonaws.com/figures.boundless.com/51154f34e4b0c14bf464da40/1.jpgView on Boundless.com Induction, AC Circuits, and Electrical Technolo...

12. Motional EMF (a) A motional emf=Bℓv is induced between the rails when this rod moves to the right in the uniform magnetic field. The magnetic field B is into the page, perpendicular to the moving rod and rails and, hence, to the area enclosed by them. (b) Lenz's law gives the directions of the induced field and current, and the polarity of the induced emf. Since the flux is increasing, the induced field is in the opposite direction, or out of the page. Right hand rule gives the current direction shown, and the polarity of the rod will drive such a current. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Motional Emf." CC BY 3.0 http://cnx.org/content/m42400/latest/ View on Boundless.comCC BY 3.0http://cnx.org/content/m42400/latest/View on Boundless.com Induction, AC Circuits, and Electrical Technolo...

13. Free to share, print, make copies and changes. Get yours at www.boundless.com Induction, AC Circuits, and Electrical Technolo... Motional electromotive force is induced by the motion in A) a graviational field that is stationary relative to the Earth B) a magnetic field that is not stationary relative to the Earth C) a graviational field that is not stationary relative to the Earth D) a magnetic field that is stationary relative to the Earth

14. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Induction, AC Circuits, and Electrical Technolo... Motional electromotive force is induced by the motion in A) a graviational field that is stationary relative to the Earth B) a magnetic field that is not stationary relative to the Earth C) a graviational field that is not stationary relative to the Earth D) a magnetic field that is stationary relative to the Earth

15. Free to share, print, make copies and changes. Get yours at www.boundless.com Induction, AC Circuits, and Electrical Technolo... The electromotive force can be calculated in terms of the A) magnetic force on moving protons in a magnetic field B) magnetic force on moving electrons in a magnetic field C) gravitational force on moving atoms in a gravitational field D) electromagnetic force on moving photons in an electromagnetic field

16. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Induction, AC Circuits, and Electrical Technolo... The electromotive force can be calculated in terms of the A) magnetic force on moving protons in a magnetic field B) magnetic force on moving electrons in a magnetic field C) gravitational force on moving atoms in a gravitational field D) electromagnetic force on moving photons in an electromagnetic field

17. Attribution Connexions. "Motional Emf." CC BY 3.0 http://cnx.org/content/m42400/latest/?collection=col11406/latestCC BY 3.0http://cnx.org/content/m42400/latest/?collection=col11406/latest Wiktionary. "magnetic field." CC BY-SA 3.0 http://en.wiktionary.org/wiki/magnetic+fieldCC BY-SA 3.0http://en.wiktionary.org/wiki/magnetic+field Wiktionary. "special relativity." CC BY-SA 3.0 http://en.wiktionary.org/wiki/special+relativityCC BY-SA 3.0http://en.wiktionary.org/wiki/special+relativity Wiktionary. "frame of reference." CC BY-SA 3.0 http://en.wiktionary.org/wiki/frame+of+referenceCC BY-SA 3.0http://en.wiktionary.org/wiki/frame+of+reference Connexions. "The Hall Effect." CC BY 3.0 http://cnx.org/content/m42377/latest/CC BY 3.0http://cnx.org/content/m42377/latest/ Connexions. "Motional Emf." CC BY 3.0 http://cnx.org/content/m42400/latest/CC BY 3.0http://cnx.org/content/m42400/latest/ Wikipedia. "electromotive force." CC BY-SA 3.0 http://en.wikipedia.org/wiki/electromotive%20forceCC BY-SA 3.0http://en.wikipedia.org/wiki/electromotive%20force Wiktionary. "induction." CC BY-SA 3.0 http://en.wiktionary.org/wiki/inductionCC BY-SA 3.0http://en.wiktionary.org/wiki/induction Wiktionary. "magnetic flux." CC BY-SA 3.0 http://en.wiktionary.org/wiki/magnetic+fluxCC BY-SA 3.0http://en.wiktionary.org/wiki/magnetic+flux Free to share, print, make copies and changes. Get yours at www.boundless.com Induction, AC Circuits, and Electrical Technolo...