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 276
In the figure, B, is the induction inside the solenoid, while B, is the value outside;
both must be independent of z since the solenoid is infinitely long, making one
value of z as good as another. Again we choose a rectangular path of integration
...
In the figure, B, is the induction inside the solenoid, while B, is the value outside;
both must be independent of z since the solenoid is infinitely long, making one
value of z as good as another. Again we choose a rectangular path of integration
...
Page 293
Inside the solenoid. Here p<a, and since B, is uniform, according to (15-26), the
flux as obtained from (16-6), (1-52), and (1-53) is <1>= f B,i-dai= W11] da = W11-
p1 (16-48) s s -which, when substituted into (16-47) gives A.,(t>)=%116n1t> (P ...
Inside the solenoid. Here p<a, and since B, is uniform, according to (15-26), the
flux as obtained from (16-6), (1-52), and (1-53) is <1>= f B,i-dai= W11] da = W11-
p1 (16-48) s s -which, when substituted into (16-47) gives A.,(t>)=%116n1t> (P ...
Page 377
Because of the complexity of this general subject, we illustrate these ideas with
the following single example. Example Permeable rod in a long solenoid.
Suppose we have a long solenoid of n tums per unit length, total length I, circular
cross ...
Because of the complexity of this general subject, we illustrate these ideas with
the following single example. Example Permeable rod in a long solenoid.
Suppose we have a long solenoid of n tums per unit length, total length I, circular
cross ...
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amplitude angle assume axes axis becomes bound charge boundary conditions bounding surface calculate capacitor charge density charge distribution charge q circuit conductor consider constant coordinates corresponding Coulomb’s law cross section current density current element cylinder defined dielectric displacement distance electric field electromagnetic electrostatic energy equal evaluate example Exercise expression field point Flgure flux force free currents frequency function Galilean transformation given incident induction infinitely long integral integrand length located loop Lorentz Lorentz transformation magnetic dipole magnitude material Maxwell’s equations medium normal components obtained origin parallel particle perpendicular plane wave plates point charge polarized position vector produced quadrupole quantities radiation radius rectangular reflected region relation result rotation satisfy scalar potential shown in Figure solenoid sphere substitute surface charge surface current tangential components transformation unit vacuum vector potential velocity volume write written xy plane zero