## 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

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 integral by first integrating over y while keeping x

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

theorem relates a

divergence.

We choose to evaluate this integral by first integrating over y while keeping x

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

theorem relates a

**surface integral**of a vector to the volume integral of itsdivergence.

Page 39

1-14 Calculate directly the line integral $A . ds of the vector A= -yk + xy around

the closed path in the xy plane with straight sides given by: (0, 0) -» (3, 0) - (3, 4) -

(0, 4) - (0, 0). Also calculate the

1-14 Calculate directly the line integral $A . ds of the vector A= -yk + xy around

the closed path in the xy plane with straight sides given by: (0, 0) -» (3, 0) - (3, 4) -

(0, 4) - (0, 0). Also calculate the

**surface integral**of V X A over the enclosed area ...### What people are saying - Write a review

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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