## 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 502

Combining all of these results, we get the

-Vt) y'=y z'=z t' = y it - — x\ (29-24) x = y(x'+Vt') y=y' z = z' t = yit' + — x'l (29-25)

where y is given by (29-23). The equations (29-25) can be obtained from (29-24)

...

Combining all of these results, we get the

**Lorentz transformation**formulas x' = y(x-Vt) y'=y z'=z t' = y it - — x\ (29-24) x = y(x'+Vt') y=y' z = z' t = yit' + — x'l (29-25)

where y is given by (29-23). The equations (29-25) can be obtained from (29-24)

...

Page 509

If we look back at (29-17) we see that this basic condition for the

given by s2 - x2 + y2 + z2 - cV = x'2 + y'2 + z'2 - c2t'2 (29-64) If we now introduce

the ...

If we look back at (29-17) we see that this basic condition for the

**Lorentz****transformation**can be expressed as requiring the invariance of the quantity s 2given by s2 - x2 + y2 + z2 - cV = x'2 + y'2 + z'2 - c2t'2 (29-64) If we now introduce

the ...

Page 513

Combining these two results, we will see immediately that we can say that the

two postulates taken together require that the laws of physics when properly

formulated must have their form unchanged when subjected to a

Combining these two results, we will see immediately that we can say that the

two postulates taken together require that the laws of physics when properly

formulated must have their form unchanged when subjected to a

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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