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  1. The induced current produces magnetic fields which tend to oppose the change in magnetic flux that induces such currents. To illustrate how Lenz’s law works, let’s consider a conducting loop placed in a magnetic field. We follow the procedure below: 1. Define a positive direction for the area vectorA. G 2.

  2. Magnetic Field Lines and Magnetic Flux - The field lines point in the same direction as a compass (from N toward S). - Magnetic field lines are not “lines of force”.

  3. Maxwell’s Equations for Magnets. In these lectures, we shall discuss solutions to Maxwell’s equations for magnetostatic fields: in two dimensions (multipole fields); in three dimensions (fringe fields, insertion devices...)

  4. The first coil has N1 turns and carries a current I1 which gives rise to a magnetic field B1 G. Since the two coils are close to each other, some of the magnetic field lines through coil 1 will also pass through coil 2. Let Φ21 denote the magnetic flux through one turn of coil 2 due to I1.

  5. Magnetic flux is a measure of the number of magnetic field lines passing through an area. The symbol we use for flux is the Greek letter capital phi, .The equation for magnetic flux is: , (Equation 20.1: Magnetic flux) where is the angle between the magnetic field and the area vector .

  6. A. Overview Magnetic devices form the throbbing heart of switch mode power supplies. The inductors are the electrical flywheels smoothing out pulsed waveforms and the transformers make for easy voltage transformations. Both passive magnetic devices involve only copper wires and magnetic cores.

  7. This Lecture. - This lecture provides theoretical basics useful for follow-up lectures on resonators and waveguides. - Introduction to Maxwell’s Equations. Sources of electromagnetic fields. Differential form of Maxwell’s equation. Stokes’ and Gauss’ law to derive integral form of Maxwell’s equation. Some clarifications on all four equations.

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