Electromagnetism: Maxwell Equations, Wave Propagation and by Tamer Becherrawy

By Tamer Becherrawy

This publication offers with electromagnetic concept and its functions on the point of a senior-level undergraduate direction for technological know-how and engineering. the elemental techniques and mathematical research are in actual fact constructed and the real purposes are analyzed. every one bankruptcy includes various difficulties ranging in trouble from basic functions to difficult. The solutions for the issues are given on the finish of the booklet. a few chapters which open doorways to extra complex issues, reminiscent of wave thought, certain relativity, emission of radiation by way of fees and antennas, are included.
The fabric of this ebook permits flexibility within the selection of the themes lined. wisdom of simple calculus (vectors, differential equations and integration) and basic physics is believed. the mandatory mathematical suggestions are steadily brought. After an in depth revision of time-independent phenomena in electrostatics and magnetism in vacuum, the electrical and magnetic homes of topic are mentioned. Induction, Maxwell equations and electromagnetic waves, their mirrored image, refraction, interference and diffraction also are studied in a few aspect. 4 extra subject matters are brought: guided waves, relativistic electrodynamics, debris in an electromagnetic box and emission of radiation. an invaluable appendix on arithmetic, devices and actual constants is included.

Contents

1. Prologue.
2. Electrostatics in Vacuum.
3. Conductors and Currents.
4. Dielectrics.
5. specific ideas and Approximation Methods.
6. Magnetic box in Vacuum.
7. Magnetism in Matter.
8. Induction.
9. Maxwell’s Equations.
10. Electromagnetic Waves.
11. mirrored image, Interference, Diffraction and Diffusion.
12. Guided Waves.
13. particular Relativity and Electrodynamics.
14. movement of Charged debris in an Electromagnetic Field.
15. Emission of Radiation.

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Additional info for Electromagnetism: Maxwell Equations, Wave Propagation and Emission (ISTE)

Sample text

We say that this is a long-range force. As all bodies that have mass have gravitational interaction, this is the dominant force on the cosmic scale. It is responsible for the cohesion of celestial bodies, the binding of satellites to planets, of planets to stars, the stars to galaxies and the galaxies within the Universe. m2/C2) and the magnetic forces between charges in motion, magnetic matter, and electric currents. These interactions are much more intense than gravitational forces. 53 × 10−10 m.

16 The interaction potential energy of two particles located at r1 and r2 is a certain scalar function U(r1, r2) if this interaction does not depend on any other physical quantity. e. the invariance under arbitrary translations of the reference frame) implies that U does not depend on r1 and r2 separately but on the relative position r = r1− r2. The force that the particle (1) exerts on particle (2) is F1→2 = − ∇2U(r), where ∇2 is the gradient with respect to the coordinates of particle (2).

To rotate the dipole through an angle dθ′, a work dW′ = Γ′ dθ′ = pE sin θ′ dθ′ is required. The total work required to rotate the dipole from the equilibrium position θ = 0 to the position θ is θ θ W′0→θ = ∫0 dW ' = ∫0 dθ' pE sin θ′ = − pE cos θ + pE. 45] This is the electric potential energy of the dipole p if it makes an angle θ with E. ∇V). 46] In this expression, we do not take into account the binding energy of the dipole, since it is an internal and constant energy. Thus, UE is the interaction energy of the dipole with the field E.

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