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 72
... becomes Ρ 2π $ = r / 2 sin 0 ' dr ' do ' do ' 4TEO Jo Jo Jo ( z2 + r22 - 2zr ' cos 0 ' ) 1 / 2 ( 5-17 ) where we have used ( 1-99 ) and taken the constant value of p outside of the integral . The integration over do ' can be performed ...
... becomes Ρ 2π $ = r / 2 sin 0 ' dr ' do ' do ' 4TEO Jo Jo Jo ( z2 + r22 - 2zr ' cos 0 ' ) 1 / 2 ( 5-17 ) where we have used ( 1-99 ) and taken the constant value of p outside of the integral . The integration over do ' can be performed ...
Page 320
... becomes The integral can be found with the use of tables to be B2 ( z ) = Момаз 2 - 1 ( 1 − μ2 ) dμ 2 -1 ( z2 + a2 ... becomes 4 / 3z3 which , when put into ( 20-20 ) , gives the induction outside the sphere to be B . , ( z ) = 2μMa3 ...
... becomes The integral can be found with the use of tables to be B2 ( z ) = Момаз 2 - 1 ( 1 − μ2 ) dμ 2 -1 ( z2 + a2 ... becomes 4 / 3z3 which , when put into ( 20-20 ) , gives the induction outside the sphere to be B . , ( z ) = 2μMa3 ...
Page 475
... becomes more complicated with each successive term in the expansion . Furthermore , each wave is proportional to an integral of the source current amplitude over the source volume , although the field point still remains in the integral ...
... becomes more complicated with each successive term in the expansion . Furthermore , each wave is proportional to an integral of the source current amplitude over the source volume , although the field point still remains in the integral ...
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