## 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 80

A surface on which $ is constant is called an

Section 1-9 that the gradient of a scalar is normal to a surface of constant value of

the scalar and in the direction of the maximum rate of change of the scalar.

A surface on which $ is constant is called an

**equipotential**surface. We saw inSection 1-9 that the gradient of a scalar is normal to a surface of constant value of

the scalar and in the direction of the maximum rate of change of the scalar.

Page 207

By comparing (11-17) and (11-18) with (11-48), we see that the total bound

charge induced on the dielectric surface will again equal the image charge a '□

The

By comparing (11-17) and (11-18) with (11-48), we see that the total bound

charge induced on the dielectric surface will again equal the image charge a '□

The

**equipotential**curves and lines of E for this system are shown in Figure 11-8.Page 208

Thus the

curves in the right half of Figure 5-8. In other words, we already have the

complete solution available for this example. We can go even further with what

we found for ...

Thus the

**equipotentials**and lines of force for this example are given by thecurves in the right half of Figure 5-8. In other words, we already have the

complete solution available for this example. We can go even further with what

we found for ...

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angle assume axis becomes bound charge boundary conditions bounding surface calculate capacitance charge density charge distribution charge q circuit conductor consider const constant corresponding Coulomb's law cross section current density current element curve cylinder defined dielectric direction displacement distance electric field electromagnetic electrostatic energy equal equipotential evaluate example Exercise expression field point flux force free charge free currents frequency function given illustrated in Figure induction infinitely long integral integrand Laplace's equation line charge located Lorentz Lorentz transformation magnitude material Maxwell's equations molecule normal components obtained origin particle perpendicular plane wave point charge polarized position vector potential difference propagation properties quadrupole quantities radiation region relation result satisfy scalar potential shown in Figure situation solenoid spherical substitute surface current surface integral tangential components total charge unit vacuum vector potential velocity volume write written xy plane zero