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 19
... curve C ; a page of this book is an example of such an open surface . In this case , the first step is to choose a sense of traversal around the bounding curve ; once this is done , curl the fingers of the right hand in the sense of ...
... curve C ; a page of this book is an example of such an open surface . In this case , the first step is to choose a sense of traversal around the bounding curve ; once this is done , curl the fingers of the right hand in the sense of ...
Page 27
... curve C. Stokes ' theorem states that $ A⋅ds = √ ( VXA ) .da ( 1-67 ) and hence relates the line integral of a vector about a closed curve to the surface integral of its curl over the enclosed area . Since S is an open surface , the ...
... curve C. Stokes ' theorem states that $ A⋅ds = √ ( VXA ) .da ( 1-67 ) and hence relates the line integral of a vector about a closed curve to the surface integral of its curl over the enclosed area . Since S is an open surface , the ...
Page 30
... curve ; the final result will be the line integral of Ads , over the whole curve C. In other words , we have found that JAX ǝAx = [ ( 4 ; da , - 4 ; da , ) - $ 1 , ds , дл ду C ( 1-72 ) Similarly , the last two integrals of ( 1-68 ) can ...
... curve ; the final result will be the line integral of Ads , over the whole curve C. In other words , we have found that JAX ǝAx = [ ( 4 ; da , - 4 ; da , ) - $ 1 , ds , дл ду C ( 1-72 ) Similarly , the last two integrals of ( 1-68 ) can ...
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Ampère's law angle assume axis becomes bound charge boundary conditions bounding surface calculate capacitance capacitor charge density charge distribution charge q circuit conductor consider constant coordinates corresponding Coulomb's law current density curve cylinder defined dielectric dipole direction displacement distance E₁ electric field electromagnetic electrostatic energy equal evaluate example Exercise expression field point flux force free charge free currents frequency function given induction infinitely long integral integrand k₂ Laplace's equation located Lorentz transformation magnetic magnitude material Maxwell's equations normal components obtained origin parallel particle perpendicular plane wave plates point charge polarized position vector potential difference quadrupole quantities radiation radius rectangular region result satisfy scalar scalar potential shown in Figure solenoid sphere spherical tangential components unit vacuum vector potential velocity volume write written xy plane zero Απερ дх Мо