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Chapter 27 Magnetism Introduction • Our approach – Review of E&M interaction ideas – Magnetic fields & magnets (initial ideas) – Magnetic field and currents (initial ideas) – Force on a current in a B-field – Force on a charge in a B-field – Torque on a current loop in a B-field – The Hall Effect Electrical & Magnetic interactions • How have people understood the relation between electrical and magnetic interactions? • Ancient views • 19th Century: Classical E&M • 20th Century: Special Relativity • 20th Century: Quantum Field Theory Magnets & Magnetic Field • Magnetic poles • Origin of pole names • The Earth’s magnetic field – Quick survey – http://web.archive.org/web/20100625061648/ http://gsc.nrcan.gc.ca/geomag/nmp/daily_mvt _nmp_e.php Currents & Magnetic Fields • Shape and direction of field caused by a current (initial idea) – Whiteboard example • Use of the right hand rule to determine the direction of the magnetic field – Question posing Force on a current in a B-field • The force on a current element and current – Vector expression and picture • The magnetic field as not a force field, as was the electric field – Why? Force on a charge in B-field • The force – Vector expression and picture • • • • Relation to motion Example: velocity selector Example: electron behavior Force from E and B fields – What is it? And corresponding picture? • Effect on motion – What is it? Torque on a current loop in B-field • The torque – Why expected? • Magnetic dipole moment – Vector expression and picture • The potential energy – Vector expression and picture • Review of key formulas The Hall Effect • Physical situation – Describe the situation • Underlying dynamics – Provide an explanation the end