Electromagnetic FieldsThis revised edition provides patient guidance in its clear and organized presentation of problems. It is rich in variety, large in number and provides very careful treatment of relativity. One outstanding feature is the inclusion of simple, standard examples demonstrated in different methods that will allow students to enhance and understand their calculating abilities. There are over 145 worked examples; virtually all of the standard problems are included. |
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Page 21
... theorems involving the types of integrals we have just discussed . 1-14 THE DIVERGENCE THEOREM Consider a volume V enclosed by a surface S. Gauss ' divergence theorem states that · da = ↓↓ V. A dr ( 1-59 ) The integrals are taken over ...
... theorems involving the types of integrals we have just discussed . 1-14 THE DIVERGENCE THEOREM Consider a volume V enclosed by a surface S. Gauss ' divergence theorem states that · da = ↓↓ V. A dr ( 1-59 ) The integrals are taken over ...
Page 26
... theorem . y The theorem can be extended to the case of a surface bounded by more than one curve by a method similar to that we used for the divergence theorem . An example of such a situation is shown in Figure 1-35 . Note the direction ...
... theorem . y The theorem can be extended to the case of a surface bounded by more than one curve by a method similar to that we used for the divergence theorem . An example of such a situation is shown in Figure 1-35 . Note the direction ...
Page 37
... THEOREM We will not prove this theorem at this time but simply quote it as an aid to understanding the motivations for many of the procedures we will be following . We will , in effect , prove it eventually , but piece by piece . The ...
... THEOREM We will not prove this theorem at this time but simply quote it as an aid to understanding the motivations for many of the procedures we will be following . We will , in effect , prove it eventually , but piece by piece . The ...
Contents
INTRODUCTION | 1 |
ELECTRIC MULTIPOLES | 8 |
THE VECTOR POTENTIAL | 16 |
Copyright | |
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Ampère's law angle assume axes axis bound charge boundary conditions bounding surface calculate capacitance charge density charge distribution charge q circuit conductor consider const constant corresponding Coulomb's law curve cylinder dielectric dipole direction distance divergence theorem E₁ electric field electromagnetic electrostatic energy equation evaluate example expression field point free charge function given induction infinitely long integral integrand Laplace's equation line charge line integral located magnetic magnitude Maxwell's equations obtained origin P₁ perpendicular point charge polarized position vector potential difference quadrupole R₁ region result scalar potential Section shown in Figure sphere of radius spherical surface charge surface charge density surface integral tangential components theorem total charge vacuum vector potential velocity volume wave write written xy plane zero Απερ дх