## 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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Results 1-3 of 43

Page 65

Therefore, the only dependence of the integral on r can be in the

since the definite integral can be regarded as the limit of a sum, we can use (1-

114) as generalized to a sum of more than two terms and interchange the order

of ...

Therefore, the only dependence of the integral on r can be in the

**integrand**, and,since the definite integral can be regarded as the limit of a sum, we can use (1-

114) as generalized to a sum of more than two terms and interchange the order

of ...

Page 172

V<//> + </>V 2<//> = ( V<//>)2 (11-5) which, when used in (1-59), leads to f(v<t>)

2dr= /v • (<j>V<f>)dr = <f)(<f>V<t>) . da = -<f>(f)E- da = 0 (11-6) Jy Jy Js Js

because of (11-4) and Gauss' law (4-1) since Qin = 0. As the

integral ...

V<//> + </>V 2<//> = ( V<//>)2 (11-5) which, when used in (1-59), leads to f(v<t>)

2dr= /v • (<j>V<f>)dr = <f)(<f>V<t>) . da = -<f>(f)E- da = 0 (11-6) Jy Jy Js Js

because of (11-4) and Gauss' law (4-1) since Qin = 0. As the

**integrand**in the firstintegral ...

Page 219

The

is Coulomb's law as expressed by, say, (2-15), since the

the relative orientation of the three quantities Ids, 1' ds', and R. We also note that

...

The

**integrand**in (13-1) is more complicated from a directional point of view thanis Coulomb's law as expressed by, say, (2-15), since the

**integrand**depends onthe relative orientation of the three quantities Ids, 1' ds', and R. We also note that

...

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angle assume axes axis becomes bound charge boundary conditions bounding surface calculate capacitance cavity charge density charge distribution charge q circuit conducting conductor const constant corresponding Coulomb's law current density curve cylinder dielectric dipole direction displacement distance divergence theorem electric field electromagnetic electrostatic energy equal equipotential evaluate example Exercise expression field point flux free charge function given illustrated in Figure induction infinitely long integral integrand Laplace's equation line charge located Lorentz transformation magnetic magnitude Maxwell's equations normal component obtained origin parallel plate capacitor particle perpendicular point charge polarized position vector potential difference quadrupole quantities rectangular coordinates region result satisfy scalar potential shown in Figure situation solenoid solution sphere of radius spherical surface charge surface charge density surface integral tangential components theorem total charge vacuum vector potential velocity volume write written xy plane zero