Physics for Scientists and Engineers II, Summer Semester Lecture 13: June 19 th 2009 Physics for Scientists and Engineers II

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law Top View

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law Top View

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law Top View

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law

Physics for Scientists and Engineers II, Summer Semester Example Application of Ampere’s Law I2I2 I1I1

Physics for Scientists and Engineers II, Summer Semester Example Application of Ampere’s Law

Physics for Scientists and Engineers II, Summer Semester Preventing Pitfalls

Physics for Scientists and Engineers II, Summer Semester Preventing Pitfalls

Physics for Scientists and Engineers II, Summer Semester A Long Solenoid (Wire wound in the form of a helix)

Physics for Scientists and Engineers II, Summer Semester A Long Solenoid (Wire wound in the form of a helix)

Physics for Scientists and Engineers II, Summer Semester Problem 33 in the book x z

Physics for Scientists and Engineers II, Summer Semester Problem 33 in the book x z

Physics for Scientists and Engineers II, Summer Semester Gauss’s Law in Magnetism

Physics for Scientists and Engineers II, Summer Semester Gauss’s Law Comparison Electric flux through closed surface is proportional to the amount of electric charge inside (electric monopoles). Isolated magnetic monopoles have never been found.

Physics for Scientists and Engineers II, Summer Semester Magnetism in Matter We now know how to build “electromagnets” (using electric current through a wire). We also found that a simple current loop produces a magnetic field / has a magnetic dipole moment. How about the “current” produced by an electron running around a nucleus? Let’s use a classical model (electron is a point charge orbiting around a positively charged nucleus. - + direction of motion of electron The tiny current loop produces a magnetic moment Orbital angular momentum of electron

Physics for Scientists and Engineers II, Summer Semester Magnetism in Matter - + L = “orbital angular momentum”

Physics for Scientists and Engineers II, Summer Semester Quantization

Physics for Scientists and Engineers II, Summer Semester Spin