Daily Plans and Assignments: 1. Thursday(03/19): Ch.24 - Intro. to Magnetic Fields and Force. HW: Read and Study pages 643-51, then solve problems 73, 75, 77, and 79 on page 666. 2. Friday(03/20): The Mass Spectrometer, Force on a Current, and Magnetic Field of a Current. HW: Read and Study pages 652-63, then solve problems 83, 85, 87, and 90 on page 667. 3. Monday(03/23): LAB on Magnetic Field of a Magnet. HW: Process lab data and write lab report, Due Wednesday. 4. Tuesday(03/24): Ch.25 - Electromagnetic Induction, Induced and Motional Emf, and Magnetic Flux. HW: Read and Study pages 671-78, then solve problems 60, 61, 64, and 68 on page 692. 5. Wednesday(03/25): Continue with Electromagnetic Induction, Induced and Motional Emf, and Transformers. HW: Read and Study pages 679-89, then solve problems 72, 81, 83, and 87 on page 693. 6. Thursday(03/26): Review for Ch.24-25. HW: Complete Review Handout. Have a Safe and Restful Spring Break (March 27 - April 5). See you when school starts again on April 6th. 7. Monday(04/06): Ch.25 & 26 - Interactions of Electric and Magnetic Fields and Matter. Magnetic Fields in Space. HW: Read and Study pages 697-717, then solve problems 46, 48, 50, 54, and 57 on page 719. 8. Tuesday(04/07): Magnetic Flux and Electromagnetic Induction. HW: Complete Review Handout. 9. Wednesday(04/08): LAB on Magnetic Field of a Coil. HW: Process lab data and write lab report, Due Tuesday. 10. Thursday(04/09): Review I for Ch.24-25-26. HW: Complete Review Handout. 11. Friday(04/10): No School. HW: Finish all assigned work. 12. Monday(04/03): Review for II Ch.24-25-26. HW: Complete Review Handout. 13. Tuesday(04/14): TEST on Ch.24-25-26. HW: Go to website and study notes, graphics, and links for Ch.27 - Quantum Theory.
Very Important: If you have any questions, or were absent and need to complete missing work, see me before school (8:00 - 8:30 AM), during Lunch, or after school. Best to send an email to rpersin@fau.edu. Remember, all Make-up Work must be completed within 3 days of absence.
Introduction to Chapters 24-25-26: Some Early History of the Theories of Magnetism. 900 BC - Magnus, a Greek shepherd, walks across a field of black stones which pull the iron nails out of his sandals and the iron tip from his shepherd's staff (authenticity not guaranteed). This region becomes known as Magnesia. 600 BC - Thales of Miletos rubs amber (elektron in Greek) with cat fur and picks up bits of feathers. 1269 - Petrus Peregrinus of Picardy, Italy, discovers that natural spherical magnets (lodestones) align needles with lines of longitude pointing between two pole positions on the stone. 1600 - The man who began the science of magnetism in earnest was William Gilbert (1540 - 1603) whose book "De Magnete" was published in 1600. Gilbert studied at St. John’s College, Cambridge, and became England’s leading doctor, President of the Royal College of Physicians, and Queen Elizabeth’s personal physician. At the same time, he worked on magnetism, and after seeing his book Galileo pronounced Gilbert "great to a degree that is enviable", not the sort of thing Galileo said too often. 1644 - Rene Descartes theorizes that the magnetic poles are on the central axis of a spinning vortex of one of his fluids. This vortex theory remains popular for a long time, enabling Leonhard Euler and two of the Bernoulli's to share a prize of the French Academy as late as 1743. 1750 - John Michell discovers that the two poles of a magnet are equal in strength and that the force law for individual poles is inverse square. 1774 – Anton Mesmer became interested in the effects of magnets on the body and believed that he had discovered an entirely new principle of healing involving "animal magnetism". This "animal magnetism" that he used was different from physical magnetism in that he believed that he could "magnetise" paper, glass, dogs and all manner of other substances. 1820 - Jean-Baptiste Biot and Felix Savart show that the magnetic force exerted on a magnetic pole by a wire falls off like 1/r and is oriented perpendicular to the wire. 1825 - Ampere publishes his collected results on magnetism. His expression for the magnetic field produced by a small segment of current is different from that which follows naturally from the Biot-Savart law by an additive term which integrates to zero around closed circuit. It is unfortunate that electrodynamics and relativity decide in favor of Biot and Savart rather than for the much more sophisticated Ampere, whose memoir contains both mathematical analysis and experimentation, artfully blended together. 1846 - Faraday, inspired by his discovery of the magnetic rotation of light, writes a short paper speculating that light might electro-magnetic in nature. He thinks it might be transverse vibrations of his beloved field lines. He also discovers diamagnetism. He sees the effect in heavy glass, bismuth, and other materials. 1847 - Weber proposes that diamagnetism is just Faraday's law acting on molecular circuits. In answering the objection that this would mean that everything should be diamagnetic he correctly guesses that diamagnetism is masked in paramagnetic and ferromagnetic materials because they have relatively strong permanent molecular currents. This work rids the world of magnetic fluids. 1850 - William Thomson (Lord Kelvin) invents the idea of magnetic permeability and susceptibility. 1895 - Pierre Curie experimentally discovers Curie's law for paramagnetism and also shows that there is no temperature effect for diamagnetism. 1911 - Kamerlingh Onnes makes a momentous discovery of the phenomenon of superconductivity in pure metals such as mercury, tin and lead at very low temperatures, and following from this the observation of persisting currents. WEBSITE NOTES: Ch. 24-25-26. Magnetic Forces, Magnetic Fields, and Electromagnetic Induction. 1. The force F produced by a magnetic field on a single charge depends upon the speed v of the charge, the strength B of the field, and the magnitude of the charge q, with F = qvBsinθ. θ is the smaller angle between v and B. 2. To find the direction of the force, use the First Right-Hand Rule with your fingers in the direction of B, and your thumb in the direction of v. The force will come out of the palm of your hand 3. If the charged particle moves parallel to the field lines (θ = 0), then the magnetic force on the particle is zero. If a charged particle is moving perpendicular to a uniform magnetic field, the path of the charged particle is an arc (or circle). 4. The strength of the magnetic field depends on the current I in the wire and r, the distance from the wire. The equation is B=μoI∕(2πr) , with the constant μo, "mu naught", given as μo = 4π x 10-7 Tm/A . 5. The constant is the permeability of free space. The reason it does not appear as an arbitrary number is that the units of charge and current (coulombs and amps) were chosen to give a simple form for this constant. 6. The magnetic force is the source of the centripetal force on the charged particle. This relationship can be used to find the radius of the arc when we set the equations equal to one another, mv2/r = qvB , and solve for r. 7. Since the magnetic force is perpendicular to the velocity of the charged particle, the force does not cause the speed of the particle to change, only its direction. Thus, no work is done by the magnetic force on the charged particle. 8. In regards to forces due to magnetic fields, Ampere found that a force is exerted on a current-carrying wire in a magnetic field, F = BILsinθ, where B is the magnetic field in N/Am, I is the current, L is the length of wire in meters, and θ is the angle. 9. If the direction of the current is perpendicular to the field (θ = 90), then the force is given by F = BIL. 10. If there is also a magnetic field between two charged plates in addition to the electric field, and the fields are crisscrossed, that allows the charge to pass through undeflected, qE=F, and F=qvB , yields v = E/B. 11. Again, for regions where both electric and magnetic fields exist: V=Ed, qE=F, and F=qvB. Manipulating these formulas allows you to write an expression for the accelerating voltage in terms of v, B, and d. 12. When a conductor of length, L, and velocity, v, moves across a magnetic field, B, an Electromotive Force (Emf), ε, is induced in the conductor. This is given by ε = BLv. 13. The current in the conductor is now given by I = ε / R, which is now Ohm's Law for current from induced Emf. 14. The total magnetic flux through a plane area, A, placed in a uniform magnetic field depends on the angle between the direction of the magnetic field and the direction perpendicular to the surface area. The equation is Φ = BAcos(θ) . 15. Faraday discovered that when the magnetic flux, given by the Greek letter Phi, Φ , changes with time, an electromotive force, or Emf, is produced. Or we can say,ε = -N∙ΔΦ/Δt , with as the number of turns in the coil. 16. Since the magnetic flux is the product of the magnetic field, B, the area, A, and the cos of the angle between the magnetic field and the normal to the surface, there are three possible ways the flux can change with time; the field, B, or the area, A, or the angle theta. 17. Lenz's Law: The polarity of the induced Emf is such that it tends to produce a current that will create a magnetic flux to oppose the change in flux through the circuit, ε = -ΔΦ/Δt . 18. Remember that a generator changes mechanical energy to electrical energy. But a motor does the opposite. It changes electrical energy to mechanical. 19. In many cases voltage must either be "stepped-up" or "stepped-down" depending on the application. These processes rely on transformer equations, which are PP = PS , which means that the power of the primary circuit equals the power generated in the secondary, if ideal. 20. Therefore, since P = VI , we have VP∙IP= VS∙IS . Physically this is accomplished by the number of turns, N, in each coil. Now we have the equation, VP/VS= NP/NS . 21. And to get full credit for your homework make sure you are following these steps (i) read the problem and identify the given variables (ii) determine what you are asked to solve for (iii) find the correct formula to use (iv) use algebra to isolate the unknown (v) substitute-in the given information and simplify. View the Powerpoint Presentation. Answers to Homework: (Scrambled Format.)
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