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Magnetism. Permanent magnets: exert forces on each other as well as on unmagnetized Fe pieces. The needle of a compass is a piece of magnetized Fe. If a bar-shaped permanent magnet is free to rotate, one end points north (north pole of magnet).
Maxwell’s Equations for Magnets I shall assume some familiarity with the following topics: • vector calculus in Cartesian and polar coordinate systems; • Stokes’ and Gauss’ theorems; • Maxwell’s equations and their physical significance; • types of magnets commonly used in accelerators.
Magnetic Circuit Definitions • Permeability –Relates flux density and field intensity –Symbol, μ –Definition, μ = B/H –Units, (Wb/A-t-m)
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.
Magnetic flux is the measure of the number of magnetic field lines which pass through a surface. When the magnetic field is uniform, and the surface is a two- dimensional plane: The general equation for magnetic flux: o determine the direction of the area vector. (Similar to the ri.
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 .
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.
