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PHY 2054 Magnetism - I An Attractive New Topic This Magnetic Week Today we begin chapter 20 – Magnetism There will be NO CLASS on MONDAY • There will be a PowerPoint presentation posted. Run it as a presentation (click the screen icon bottom right) and it will play as a recording. Print it as usual. Wednesday – We will continue with magnetism – assuming that you have viewed the Monday Lecture. Quiz next Friday Magnetism 2 EXAMS WILL EVENTUALLY BE RETURNED Maybe WELCOME BACK Magnetism 3 How Did You Do?? Magnetism A. 80-100 B. 60-79 C. 40-59 D. 20-39 E. 0-19 F. Less than 0 4 Did the Card Help? A. B. C. D. Magnetism A Lot A Little Not really No 5 Magnetism was known long ago. Refrigerator Magnetics Lodestone (Mineral) • Lodestones attracted iron filings. • Lodestones seemed to attract each other. • Lodestone is a natural magnet. Magnetism 7 New Concept The Magnetic Field – We give it the symbol B. – A compass will line up with it. – It has Magnitude and direction so it is a VECTOR. • There are some similarities with the Electric Field but also some significant differences. Magnetism 8 Magnetism • Refrigerators are attracted to magnets! Magnetism 9 Where is Magnetism Used?? • Motors • Navigation – Compass • Magnetic Tapes – Music, Data • Older Television Tubes & Oscilloscopes – Beam deflection Coil • Magnetic Resonance Imaging Magnetism 10 And in magnets!! Although the magnet on the left is an electromagnet/huge and the one on the right is a permanent magnet/small, the idea is the same. Compare to Electrostatics N Magnet What Happens?? S Pivot Magnetism 12 • Notice the general behavior trends of attraction and repulsion, dipole or monopole. Magnets S N Shaded End is NORTH Pole Shaded End of a compass points to the NORTH. Magnetism • Like Poles Repel • Opposite Poles Attract • Magnetic Poles are only found in pairs. – No magnetic monopoles have ever been observed. 14 Observations • Bring a magnet to an electrically charged object and the observed attraction will be a result of charge induction or polarization. • Magnetic poles do not interact with stationary electric charges. • Bring a magnet near some metals (Co, Fe, Ni …) and it will be attracted to the magnet. – The metal will be attracted to both the N and S poles independently. – Some metals are not attracted at all. (Al, Cu, Ag, Au) – Wood is NOT attracted to a magnet. – Neither is water. • A magnet will force a compass needle to align with it. (No big Surprise.) Magnetism 15 Magnets N S N S Cutting a bar magnet in half produces TWO bar magnets, each with N and S poles. Magnetism 16 Consider a Permanent Magnet B N S The magnetic Field B goes from North to South. Magnetism 17 Introduce Another Permanent Magnet B N N S pivot S The bar magnet (a magnetic dipole) wants to align with the B-field. Magnetism 18 Field of a Permanent Magnet B N N S S The south pole of the small bar magnet is attracted towards the north pole of the big magnet. The North pole of the small magnet is repelled by the north pole of the large magnet. The South pole of the large magnet creates a smaller force on the small magnet than does the North pole. DISTANCE effect. TheMagnetism field attracts and exerts a torque on the small magnet. 19 Field of a Permanent Magnet B N N S S The bar magnet (a magnetic dipole) aligns with the B-field. It is now happy! Magnetism 20 Electric field of an electric dipole Electric Field Magnetic Field The magnet behaves just like the Electric dipole and aligns itself with A MAGNETIC field. Similarities will continue. Magnetism 21 Iron filings will align as a compass does – • Each small filing lines up tangent to the field lines allowing a visual demonstration Examples of Creating Magnetic fields • Fields are created by electric currents in a variety of ways and observed in a variety of places. Convention For Magnetic Fields X Field INTO Paper Magnetism B Field OUT of Paper 24 Typical Representation B B is a vector! Magnetism 25 Experiments with Magnets Show • Current carrying wire produces a circular magnetic field around it. • Force (actually torque) on a Compass Needle (or magnet) increases with current. Magnetism 26 Current Carrying Wire Current into the page. B Right hand RuleThumb in direction of the current Fingers curl in the direction of B Magnetism 27 Current Carrying Wire • B field is created at ALL POINTS in space surrounding the wire. • The B field has magnitude and direction. • Force on a magnet increases with the current. • Force is found to vary as ~(1/d) from the wire. Magnetism 28 Compass and B Field • Observations Magnetism – North Pole of magnets tend to move toward the direction of B while S pole goes the other way. – Field exerts a TORQUE on a compass needle. – Compass needle is a magnetic dipole. – North Pole of compass points toward the NORTH. – The NORTH geographic pole of the planet is therefore a magnetic South pole! 29 Planet Earth Magnetism 30 Inside it all. 8000 Miles Magnetism 31 On the surface it looks like this.. Magnetism 32 Inside: Warmer than Floriduh Magnetism 33 Much Warmer than Floriduh Magnetism 34 Finally Magnetism 35 In Between • The molten iron core exists in a magnetic field that had been created from other sources (sun…). • The fluid is rotating in this field. • This motion causes a current in the molten metal. • The current causes a magnetic field. • The process is self-sustaining. • The driving force is the heat (energy) that is generated in the core of the planet. Magnetism 36 After molten lava emerges from a volcano, it solidifies to a rock. In most cases it is a black rock known as basalt, which is faintly magnetic, like iron emerging from a melt. Its magnetization is in the direction of the local magnetic force at the time when it cools down. Instruments can measure the magnetization of basalt. Therefore, if a volcano has produced many lava flows over a past period, scientists can analyze the magnetizations of the various flows and from them get an idea on how the direction of the local Earth's field varied in the past. Surprisingly, this procedure suggested that times existed when the magnetization had the opposite direction from today's. All sorts of explanation were proposed, but in the end the only one which passed all tests was that in the distant past, indeed, the magnetic polarity of the Earth was sometimes reversed. Magnetism 37 Our Earth has a magnetic field. Repeat Navigation DIRECTION N S If N direction is pointed to by the NORTH pole of the Compass Needle, then the pole at the NORTH of our planet must be a SOUTH MAGNETIC POLE! Compass Direction Magnetic DIRECTION S N And it REVERSES from time to time. Magnetism 39 A Look at the Physics B q v q B Magnetism There is NO force on a charge placed into a magnetic field if the charge is NOT moving. There is no force if the charge moves parallel to the field. • If the charge is moving in a different direction, there is a force on the charge, perpendicular to both v and B. F=q vB 40 Nicer Picture Magnetism 41 Another Picture The Vector Cross Product F qv B F qvB sin( ) Magnetism 42 Practice Which way is the Force??? Magnetism 43 Units F Bqv Sin(θ ) Units : F N N B qv Cm / s Amp m 1 tesla 1 T 1 N/(A - m) Magnetism 44 teslas are Magnetism 45 The Magnetic Force is Different From the Electric Force. Whereas the electric force acts in the same direction as the field: The magnetic force acts in a direction orthogonal to the field: F qE F qvB sin( ) (Use “Right-Hand” Rule to determine direction of F) And --- the charge must be moving !! • The effect of an existing magnetic field on a charge depends on the charges direction of motion relative to the field. The Right Hand Rule The effect of the sign of a moving Positive and negative charges will feel opposite effects from a magnetic field. Mass Spectrometer Smaller Mass Magnetism 50 Magnetism 51 An Example A beam of electrons whose kinetic energy is K emerges from a thin-foil “window” at the end of an accelerator tube. There is a metal plate a distance d from this window and perpendicular to the direction of the emerging beam. Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field B such that 2mK B 2 2 ed Magnetism 52 Problem Continued r From Before mv r qB 1 2 2K K mv so v 2 m m 2K 2mK r d 2 2 eB m e B Solve for B : 2mK B e2d 2 Magnetism 53 Let’s Look at the effect of crossed E and B Fields: x x x B E x x x v q , m Magnetism • 54 What is the relation between the intensities of the electric and magnetic fields for the particle to move in a straight line ?. x x x B E x x x v q• m FE = q E and FB = q v B If FE = FB the particle will move following a straight line trajectory qE=qvB v=E/B FB FE • Magnetism 55