## 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 3

In the study of electricity and magnetism, we are constantly dealing with

magnitudes. Such

properties in ...

In the study of electricity and magnetism, we are constantly dealing with

**quantities**that need to be described in terms of their directions as well as theirmagnitudes. Such

**quantities**are called vectors and it is well to consider theirproperties in ...

Page 305

If we label these

)E'-ds= - f Y-da + (fi(vXB)-ds (17-26) which can be written with the use of (1-67) as

[Vx(E'-\XB)-da=- j ^-da (17-27) 3B 's so that Vx(E'-vXB)=-^ (17-28) since ...

If we label these

**quantities**with a prime, and use (1-23) again, we find that &' = <f)E'-ds= - f Y-da + (fi(vXB)-ds (17-26) which can be written with the use of (1-67) as

[Vx(E'-\XB)-da=- j ^-da (17-27) 3B 's so that Vx(E'-vXB)=-^ (17-28) since ...

Page 549

... c dr J Using (28-52), (28-34), and comparing (28-53) with (28-28), we see that

the four

dr [l-(u2/c2)]1/2 dr [l-(t;2/c2)],/2 transform in exactly the same way as do x, y, z, t.

... c dr J Using (28-52), (28-34), and comparing (28-53) with (28-28), we see that

the four

**quantities**u. y dx vx #»_ dT [l-(v2/c2)]l/2 * [l-(t>2/c2)]'/2 (28-54) dz vz dt 1dr [l-(u2/c2)]1/2 dr [l-(t;2/c2)],/2 transform in exactly the same way as do x, y, z, t.

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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