Classical Electromagnetic Radiation by Jerry Marion (Eds.)

By Jerry Marion (Eds.)

The revision of this hugely acclaimed textual content is designed to be used in complex physics courses--intermediate point juniors or first 12 months graduates. easy wisdom of vector calculus and Fourier research is thought. during this variation, a really available macroscopic view of classical electromagnetics is gifted with emphasis on integrating electromagnetic idea with actual optics. The presentation follows the old improvement of physics, culminating within the ultimate bankruptcy, which makes use of four-vector relativity to totally combine electrical energy with magnetism

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Consider a spherical balloon or soap bubble carrying a uniform surface charge density p . Show that the electrostatic force per unit area (pressure) is 2 ð ñ , outwards. ] s 2 30 1 · FUNDAMENTAL S OF ELECTROMAGNETIC S 1-7. Generalize Eq. 30) to show that where the notation is defined in Fig. 1-1, and gra d and grad ' are the gradient operators for the coordinates r and r' , respectively. 1-8. Calculate the magnetic field B(z) on the axis of a circular loop carrying current /. Then show that B(z)dz = -^ c 4 Explain why this result is in agreement with Ampere's circuital law, Eq.

Identify the function Ä(î — ÷). 1 Introductio n In this chapter we continue the discussion of electromagnetic effects under steady-state conditions. We first consider a static collection of charges and calculate the scalar potential by a power series expansion. The various terms in such an expansion may be identified with the multipole moments of the system; the monopole, dipole, and quadrupole terms are treated in detail. If the charges are allowed to move, then currents are produced and magnetic effects are introduced.

Similarly, a diskshaped cavity is formed with the large dimension perpendicular to the field; the longitudinal dimensions of the cavity are small. W h a t are the fields within each of these cavities? If the force on a test charge, Sq, is measured in each of these cavities, what properties of the fields can be determined? 1-30. 1. W h a t is the area under the curve as a function of a? Show that if we define Ä(÷ — x ) = lim F(x — x , a) 0 0 then, where G is an arbitrary function. Identify the function Ä(î — ÷).

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