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This lecture explores the principles of the electromagnetic generator and the behavior of a moving conductor in a time-varying magnetic field. It also covers Ampere's law in static and time-varying electric fields, including the proof of Ampere's law using displacement current density. Additionally, the lecture discusses boundary conditions for electromagnetic Maxwell equations and charge-current continuity relation, as well as the dissipation of free charge in a conductor.
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16.360 Lecture 28 Last lecture: • The electromagnetic generator • Moving conductor in a time varying magnetic field • Displacement current
16.360 Lecture 28 The electromagnetic generator
16.360 Lecture 28 Moving conductor in a time-varying magnetic field Example:
16.360 Lecture 28 Displacement current • Ampere’s law in static electric field • Ampere’s law in time-varying electric field • proof of Ampere’s law: Displacement current density
16.360 Lecture 28 Displacement current • Ampere’s law in time-varying electric field Example:
16.360 Lecture 28 Today • Boundary conditions for Electromagnetic • Charge-current continuity relation • Free charge dissipation in a conductor
16.360 Lecture 28 • Boundary conditions for Electromagnetic Maxwell equations boundary conditions
16.360 Lecture 28 • Charge-Current continuity Relation charge current continuity equation steady state integral form Kirchhoff’s current law
16.360 Lecture 28 • Free-charge dissipation in a conductor