## 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 96

(It may happen, of course, that at a particular point or points on the surface, the

normal component E, may also be

component that can be different from

' law (4-l) to ...

(It may happen, of course, that at a particular point or points on the surface, the

normal component E, may also be

**zero**, but, in any event, it is the onlycomponent that can be different from

**zero**at the surface.) Now let us apply Gauss' law (4-l) to ...

Page 217

Since the sum must be

plausible that this can be the case only if each term in the sum is itself

, if all of the C, are

...

Since the sum must be

**zero**for any arbitrary value of the angle 0, it seemsplausible that this can be the case only if each term in the sum is itself

**zero**, that is, if all of the C, are

**zero**. We can easily show that this is the case. In (ll-103), we let...

Page 487

Therefore, we see from (26-1) that E,->0 as 0->oo for any value of {#0, that is, the

electric field is

components of E are always continuous, according to (21-26), we see that E,,ns=

0 ...

Therefore, we see from (26-1) that E,->0 as 0->oo for any value of {#0, that is, the

electric field is

**zero**at any point in a perfect conductor. Since the tangentialcomponents of E are always continuous, according to (21-26), we see that E,,ns=

0 ...

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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