## 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 7

If we now combine (1-4), (1-5), and (1-7), we find that the unit vector a can also

be written as k-lxk + I J + 1,1 (1-8) so that the components of a unit vector in ... 1-5

THE

If we now combine (1-4), (1-5), and (1-7), we find that the unit vector a can also

be written as k-lxk + I J + 1,1 (1-8) so that the components of a unit vector in ... 1-5

THE

**POSITION VECTOR**We now consider a simple specific example of a vector.Page 8

Figure 1-11. r is the

relative

Figure 1-12 that r' + R = r so that R = r-r' (1-12) Using (1-10) and (1-11), we can

write ...

Figure 1-11. r is the

**position vector**of the point P. f<x\ y', z) Figure 1-12. R is therelative

**position vector**of P with respect to P. with respect to P'. We see fromFigure 1-12 that r' + R = r so that R = r-r' (1-12) Using (1-10) and (1-11), we can

write ...

Page 12

Applying this to the

9 GRADIENT OF A SCALAR Suppose we have a scalar quantity u that is a

function of position so that we can write u = u(x, y, z). Such a situation is called a

scalar ...

Applying this to the

**position vector**of (1-11), we get dr = dxk + dyy + dzz (1-34) 1-9 GRADIENT OF A SCALAR Suppose we have a scalar quantity u that is a

function of position so that we can write u = u(x, y, z). Such a situation is called a

scalar ...

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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