## 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 186

Similarly, Y(y) -ble*y + b2e~fiv (11-63) Z(z) = cfV + c2e-yz (11-64) The product of

these three functions will be a

satisfied. Because of this condition, a2, /?2, and y2 cannot all be positive or all

negative; ...

Similarly, Y(y) -ble*y + b2e~fiv (11-63) Z(z) = cfV + c2e-yz (11-64) The product of

these three functions will be a

**solution**of (11-55), provided that (11-61) issatisfied. Because of this condition, a2, /?2, and y2 cannot all be positive or all

negative; ...

Page 191

Then we can write (11-88) as R/(r)Pl(cos6). and since there will be a

this form of the linear differential equation (11-87) for each possible /, we can

write the general

We ...

Then we can write (11-88) as R/(r)Pl(cos6). and since there will be a

**solution**ofthis form of the linear differential equation (11-87) for each possible /, we can

write the general

**solution**of (11-87) in the form +(M)= ZP,(r)P,(cose) (11-96) i-oWe ...

Page 378

Substituting this into (24-15), dividing by ZT, and proceeding in the usual manner,

we get where (24-16) (24-17) The general

Zk(z) = ake'kz + fike lkz and Tk(t) = yke'"l + &ke~""" where ak, flk, yk, and Sk are ...

Substituting this into (24-15), dividing by ZT, and proceeding in the usual manner,

we get where (24-16) (24-17) The general

**solutions**of (24-16) can be written asZk(z) = ake'kz + fike lkz and Tk(t) = yke'"l + &ke~""" where ak, flk, yk, and Sk are ...

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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