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Do Now (1/23/14): 1. How do magnets work? 2. What are some of their properties? Welcome back! Magnetism and Electro Magnetism Timson January 2014 Atoms themselves have magnetic properties due to the spin of the atom’s electrons. Groups of atoms join so that their magnetic fields are all going in the same direction These areas of atoms are called “domains” When an unmagnetized substance is placed in a magnetic field, the substance can become magnetized. This happens when the spinning electrons line up in the same direction. An unmagnetized substance looks like this… While a magnetized substance looks like this… How to break a magnet: 1. Drop it 2. Heat it This causes the domains to become random again! Review: • Field due to current carrying wire: 0 I B 2r Ampere’s Law For any closed loop path, the sum of the length elements times the magnetic field in the direction of the length element is equal to the permeability times the electric current enclosed in the loop Ampere’s Law • The magnetic field in space around an electric current is proportional to the electric current which serves as its source, just as the electric field in space is proportional to the charge which serves as its source. • Which law is analogous to Ampere’s Law? Gauss’s Law: Example: A long straight wire carries a current of 5 A. at one instant, a proton, 4 mm from the wire, travels at 1.5x103 m/s parallel to the wire and in the same direction as the current. Find the magnitude and direction of the magnetic force that is acting on the proton because of the magnetic field produced by the wire. -20 6x10 N Magnetic Force Between Two Parallel Conductors Magnetic Field of a Current Loop • Examining the direction of the magnetic field produced by a currentcarrying segment of wire shows that all parts of the loop contribute magnetic field in the same direction inside the loop. Magnetic Field of Current Loop • Electric current in a circular loop creates a magnetic field which is more concentrated in the center of the loop than outside the loop. • Stacking multiple loops concentrates the field even more into what is called a solenoid. Magnetic Field of a Solenoid • A long straight coil of wire can be used to generate a nearly uniform magnetic field similar to that of a bar magnet. • The field can be greatly strengthened by the addition of an iron core. Example: • A certain solenoid consists of 100 turns of wire and has a length of 10 cm. Find the magnetic field inside the solenoid when it carries a current of 0.5 A. -4 6.28x10 T Inductance, Inductors Inductance, unit: henry [H] = ability to store magnetic energy A circuit element that has a large self-inductance is called an inductor. The circuit symbol is Potential across inductor: vL(t) = L diL(t) / dt L = N2 μA / ℓ UM = ½LI2 Lparallel = (1/L1 + 1/L2 + … + 1/Ln)-1 Lseries = L1 + L2 + …. + Ln