## 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 21

Since S is a closed surface, the unit normal h used for da is the outward normal

according to our convention of Section 1-12 as shown in Figure 1-25. This

Since S is a closed surface, the unit normal h used for da is the outward normal

according to our convention of Section 1-12 as shown in Figure 1-25. This

**theorem**relates a surface integral of a vector to the volume integral of its**divergence**.Page 23

If we now apply the

get a useful and illuminating result. Consider a point P at the center of a small

volume AK. If AV is very small, V . A will be nearly constant throughout the volume

so ...

If we now apply the

**divergence theorem**to a particular simple situation, we canget a useful and illuminating result. Consider a point P at the center of a small

volume AK. If AV is very small, V . A will be nearly constant throughout the volume

so ...

Page 133

9-2 THE DIVERGENCE AND THE NORMAL COMPONENTS The

) We apply this to a small right cylinder of height h and cross-sectional area A a ...

9-2 THE DIVERGENCE AND THE NORMAL COMPONENTS The

**divergence****theorem**(1-59) combined with (9-1) yields <f>¥- d» = /"v-Frft= [b(T)dr 7g Jy Jy (9-3) We apply this to a small right cylinder of height h and cross-sectional area A a ...

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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