## 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 84

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

normal component En may also be

component that can be different from

' law (4-1) ...

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

normal component En 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 (4-1) ...

Page 192

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

let ...

Since the sum must be

**zero**for any arbitrary value of the angle 6, 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 (11-103), welet ...

Page 431

Therefore, we see from (26-1) that ET -» 0 as a -» oo for any value of f # 0, that is,

the electric field is

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

Therefore, we see from (26-1) that ET -» 0 as a -» oo for any value of f # 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, ...

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angle assume axes axis becomes bound charge boundary conditions bounding surface calculate capacitance capacitor cavity charge density charge distribution charge q circuit conductor const constant convenient corresponding Coulomb's law current density curve cylinder defined dielectric dipole direction displacement distance divergence theorem electric field electromagnetic electrostatic energy equal equipotential evaluate example Exercise expression field point flux force free charge frequency function given illustrated in Figure induction infinitely long integral integrand Laplace's equation line charge line integral located Lorentz transformation magnetic magnitude Maxwell's equations obtained origin parallel particle perpendicular plane wave plates point charge polarized position vector potential difference quantities rectangular coordinates region result scalar potential shown in Figure solenoid sphere of radius spherical surface integral tangential components theorem total charge unit vectors vacuum vector potential velocity volume write written xy plane zero