16 360 Lecture 23 Static field Dynamic Field
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16. 360 Lecture 23 Static field Dynamic Field
16. 360 Lecture 23 Faraday’s Law
16. 360 Lecture 23 Electromotive force Stationary Loop in a Time-varying Magnetic field Lenz’s law
16. 360 Lecture 23 Faraday’s law, differential form An example: (a) The magnetic flux link of a single turn of the inductor. (b) The transformer emf, . (c) The polarity of the emf. (d) The induced current.
16. 360 Lecture 23 Example II Determine the voltage drops across the two resistors
16. 360 Lecture 24 The ideal Transformer properties: • = • I = 0 in the core. • The magnetic flux is confined within the core Questions: • I = ? , with applied voltage of V 1 and with RL • V 2, and I 2=?
16. 360 Lecture 24 Voltage transformer: Power relations: Why? Current transformer: Impedance transformer:
16. 360 Lecture 24 Moving conductor in a static magnetic field:
16. 360 Lecture 24 Another way to look at it: Next lecture: • The electromagnetic generator • Moving conductor in a time varying magnetic field
16. 360 Lecture 27 The electromagnetic generator
16. 360 Lecture 27 Moving conductor in a time-varying magnetic field Example: I
16. 360 Lecture 27 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 27 Displacement current • Ampere’s law in time-varying electric field Example:
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
16. 360 Lecture 29 • Electromagnetic Potentials Electrostatics: Dynamic case:
16. 360 Lecture 29 • Retard Potentials Electrostatics: Dynamic case:
16. 360 Lecture 29 • Time-Harmonic Potentials
16. 360 Lecture 29 • Time-Harmonic Potentials if no free charge, trans-wave, why? • example find k?
n 1 x n 2 z