## 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 249

13-2 Two

circuits carrying currents / and /'. They are parallel to each other and a distance p

apart. In order to be specific, let us use cylindrical coordinates and choose the z ...

13-2 Two

**Infinitely Long**Parallel Currents We consider two**infinitely long**straightcircuits carrying currents / and /'. They are parallel to each other and a distance p

apart. In order to be specific, let us use cylindrical coordinates and choose the z ...

Page 273

Example

uniformly distributed over the circular cross section of radius a of an

cylinder as shown in Figure 15-7. If we review the general dependence of the

direction ...

Example

**Infinitely long**straight current. Let us assume the current / to beuniformly distributed over the circular cross section of radius a of an

**infinitely long**cylinder as shown in Figure 15-7. If we review the general dependence of the

direction ...

Page 289

For example, if we try to go to the limit of an

and L, become infinite, we will find according to (5-32) that A~z-^ln \ (4^,)'/2 (16-

32) This shows the dependence of A on p for a very long straight current but will

go ...

For example, if we try to go to the limit of an

**infinitely long**current by letting L2and L, become infinite, we will find according to (5-32) that A~z-^ln \ (4^,)'/2 (16-

32) This shows the dependence of A on p for a very long straight current but will

go ...

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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