## 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

divergence.

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 itsdivergence.

Page 26

The

one curve by a method similar to that we used for the divergence

example of such a situation is shown in Figure 1-35. Note the direction of

traversal of ...

The

**theorem**can be extended to the case of a surface bounded by more thanone curve by a method similar to that we used for the divergence

**theorem**. Anexample of such a situation is shown in Figure 1-35. Note the direction of

traversal of ...

Page 37

The

vector field. Basically the answer is that if the divergence and curl of a vector field

are known everywhere in a finite region, then the vector field can be found ...

The

**theorem**deals with the question of what information we need to calculate avector field. Basically the answer is that if the divergence and curl of a vector field

are known everywhere in a finite region, then the vector field can be found ...

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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