## 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 278

a-,-$ Mr,) . dsj = ^ f> -*-£— ± (17-44)

will be given by (16-23) and (16-10) as *k^j = $_A*(r,-) • ds, = 7^$$ -*— j ^ We

see that the flux through C is proportional to the current Ik in Ck. If we give this

factor ...

a-,-$ Mr,) . dsj = ^ f> -*-£— ± (17-44)

**circuit**Cj, then the flux through C, due to Ckwill be given by (16-23) and (16-10) as *k^j = $_A*(r,-) • ds, = 7^$$ -*— j ^ We

see that the flux through C is proportional to the current Ik in Ck. If we give this

factor ...

Page 450

If we take a charge around a complete loop in a

potential must be zero since the potential is a single-valued function and the

initial and final points coincide. In other words, the sum of all of the potential

changes ...

If we take a charge around a complete loop in a

**circuit**, then the net change inpotential must be zero since the potential is a single-valued function and the

initial and final points coincide. In other words, the sum of all of the potential

changes ...

Page 453

of S/R. Under these conditions, dl/dt -» 0 and hence VL -» 0 so that there is no

voltage across the inductance and the current is determined solely by the

resistance of the

the more ...

of S/R. Under these conditions, dl/dt -» 0 and hence VL -» 0 so that there is no

voltage across the inductance and the current is determined solely by the

resistance of the

**circuit**. □ 27-2 THE SERIES RLC**CIRCUIT**We now considerthe more ...

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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