## 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 20

1-13 THE SURFACE

we can divide S into vector elements of area da as discussed in the previous

section. We assume the existence of a vector field A so that its value can be

found at ...

1-13 THE SURFACE

**INTEGRAL**Consider a surface S; as shown in Figure 1-29,we can divide S into vector elements of area da as discussed in the previous

section. We assume the existence of a vector field A so that its value can be

found at ...

Page 21

We choose to evaluate this

constant; this will add up the contributions from the less darkly shaded strip; the

upper limit of integration on y corresponds to the location of the point P and is

found ...

We choose to evaluate this

**integral**by first integrating over y while keeping xconstant; this will add up the contributions from the less darkly shaded strip; the

upper limit of integration on y corresponds to the location of the point P and is

found ...

Page 102

and consider the fact that our starting

space; in order to do this, we shall find it best to start with taking V in (7-25) to be

an ...

**integral**, we finally get Ue = y /e2 dr + y </k*E) . d* (7-25) Now we have to stopand consider the fact that our starting

**integral**in (7-10) was to be taken over allspace; in order to do this, we shall find it best to start with taking V in (7-25) to be

an ...

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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