## 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 72

As before, R2 = z2 + r'2 — 2zr'cos8', so that (5-7)

d<{/ * " 4wt0 J0 h 'o (z2 + r'2 - 2zr'cos8')l/2 where we have used (1-99) and taken

the constant value of p outside of the integral. The integration over d<p' can ...

As before, R2 = z2 + r'2 — 2zr'cos8', so that (5-7)

**becomes**P a* {" f r'2 sin6' dr' d8'd<{/ * " 4wt0 J0 h 'o (z2 + r'2 - 2zr'cos8')l/2 where we have used (1-99) and taken

the constant value of p outside of the integral. The integration over d<p' can ...

Page 320

Calculation of the induction at a point on the axis. the variable of integration by

means of (2-22), we find that this

z2 + a2- 2 J-i(z2 + a2-2zan)3/2 The integral can be found with the use of tables to

...

Calculation of the induction at a point on the axis. the variable of integration by

means of (2-22), we find that this

**becomes**MoMa3 n (1 - P2) dfi *.(*) = ,1 yi -n '-i(z2 + a2- 2 J-i(z2 + a2-2zan)3/2 The integral can be found with the use of tables to

...

Page 473

We can, in fact, also express everything in terms of the vector potential in this

case since the Lorentz condition (28-3)

t>= -/ — V A (28-25) u If we now substitute (28-25) into (28-5), and use (28-4), ...

We can, in fact, also express everything in terms of the vector potential in this

case since the Lorentz condition (28-3)

**becomes**V • A - (iu/c2)<f> = 0 so that c2 <t>= -/ — V A (28-25) u If we now substitute (28-25) into (28-5), and use (28-4), ...

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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