## 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 49

EXERCISES 2-1 Two

a and -a, respectively. Find the total force on a

arbitrary point in the xy plane. 2-2 Four equal

EXERCISES 2-1 Two

**point charges**q' and - q' are on the x axis with coordinatesa and -a, respectively. Find the total force on a

**point charge**q located at anarbitrary point in the xy plane. 2-2 Four equal

**point charges**q' are located at the ...Page 233

14-5 MOVING

product pV given by (12-3), then (14-7) becomes un , p'v' X R dr' B(r)-?/ P—z-2 (

14-27) Now let us assume that the charges described by (/ are contained within a

...

14-5 MOVING

**POINT CHARGES**If we write the volume current density as theproduct pV given by (12-3), then (14-7) becomes un , p'v' X R dr' B(r)-?/ P—z-2 (

14-27) Now let us assume that the charges described by (/ are contained within a

...

Page 529

dv — =f (vf) and that if f is the Lorentz force on a

right-hand side becomes q{E + v X B - [(v • E)/c2]v}. 29-23 Show that the equation

of motion of a particle of charge q in an electromagnetic field where the force is ...

dv — =f (vf) and that if f is the Lorentz force on a

**point charge**, q(¥. + v X B), theright-hand side becomes q{E + v X B - [(v • E)/c2]v}. 29-23 Show that the equation

of motion of a particle of charge q in an electromagnetic field where the force is ...

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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