## 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 203

We can do this by introducing the

volume

its magnitude / is given by the current per unit area through an area set

perpendicular ...

We can do this by introducing the

**current densities**. The first of these is thevolume

**current density**J. Its direction is that of the direction of flow of charge andits magnitude / is given by the current per unit area through an area set

perpendicular ...

Page 322

Thus we can write the total

Inserting this into (15-12) and using (20-10), we find that V X B = n0J = n0(Jf +

V X M ) or V x I MJ - if (20-27) The form of this equation, in which only the free

current ...

Thus we can write the total

**current density**as the sum of these two: (20-26)Inserting this into (15-12) and using (20-10), we find that V X B = n0J = n0(Jf +

V X M ) or V x I MJ - if (20-27) The form of this equation, in which only the free

current ...

Page 354

The term in the parentheses of (21-30) is clearly the total charge density written

as the sum of the free and bound charge densities as we found in (10-38).

Similarly, the term in parentheses of (21-33) represents the total

Jtot.

The term in the parentheses of (21-30) is clearly the total charge density written

as the sum of the free and bound charge densities as we found in (10-38).

Similarly, the term in parentheses of (21-33) represents the total

**current density**Jtot.

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### Common terms and phrases

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