## 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 68

5-1 DEFINITION AND PROPERTIES OF THE

defining equation for the electric field is given by (3-2). If we use (1-141) to

replace R,/rt? by - v(1/R,), and then use (1-110) to write the sum of the derivatives

as the ...

5-1 DEFINITION AND PROPERTIES OF THE

**SCALAR POTENTIAL**Our. basicdefining equation for the electric field is given by (3-2). If we use (1-141) to

replace R,/rt? by - v(1/R,), and then use (1-110) to write the sum of the derivatives

as the ...

Page 69

Since <//> is a scalar quantity, it is generally easier to proceed indirectly by

evaluating the sum (5-2) and then finding E by ... In other words, the

assign this ...

Since <//> is a scalar quantity, it is generally easier to proceed indirectly by

evaluating the sum (5-2) and then finding E by ... In other words, the

**scalar****potential**in principle always includes an arbitrary additive constant and we canassign this ...

Page 253

But when all of the components of a vector are continuous, the vector itself is

continuous across the surface, and therefore we conclude that A2 = A, (16-22) in

complete analogy to the continuity of the

29).

But when all of the components of a vector are continuous, the vector itself is

continuous across the surface, and therefore we conclude that A2 = A, (16-22) in

complete analogy to the continuity of the

**scalar potential**<j> as expressed in (9-29).

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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