Electromagnetic Field Theory: A Problem Solving Approach Part 1

Electromagnetic Field Theory: A Problem Solving Approach Part 1. Electromagnetic field theory is often the least popular course in the electrical engineering curriculum. Heavy reliance on vector and integral calculus can obscure physical phenomena so that the student becomes bogged down in the mathematics and loses sight of the applications. This book instills problem solving confidence by teaching through the use of a large number of worked problems. To keep the subject exciting, many of these problems are based on physical processes, devices, and models. This text is an introductory treatment on the junior level for a two-semester electrical engineering. | __ SECOND EDMON Electromagnetic Field Theory A Problem Solving Approach Molvi A . Cartesian Coordinates x y z vf 1X 4-1 H-1 dx dy dz dAx dA- dAx - - -dx dy dz dA dA Z3i4 . ZdA dAx i dy dz x dz dx dx dy df d2f df 4 5 4 dx2 dy2 dz2 Cylindrical Coordinates r p z df. 1 df df. f lrH-------------1 dr r dtp dz A 1 d t 1 dA dAx V-A ----- rAr ---- - r dr r dtp dz . 1 dAz dA . dAr dA- r dr dr r2 dtp2 dz2 . ll d rA dA llrL dr dtp Spherical Coordinates r ff p df. 1 df. 1 df. f Z-lr m1 7 TTU dr r dff r sin ff dtp r dr r sin 0 dff r sin 0 dtp V x A i 1 a sin M _ M 1 rr sin dff dd J 1 dA d ryU l . ira nA a r grlsin fl dtp dr J rl dr dff J _2 Id 2df 1 d . df 1 d2f f 5 I r 3 zl Sin fl 5 B---------s r2 dr dr rsmff dfl dff r2 sin2 fl dtp2 Cartesian Cylindrical Spherical r cos p r sin 0 cos p r sin p r sin 0 sin p z r cos 0 cos ir sin d i t sin 0 cos ir cos 0 cos p i -sin pi sin d ir cos epi sin 0 sin pir cos 0 sin pig cos pi iz cos 0ir-sin Cylindrical Cartesian Spherical r 2 2 nx y r sin 0 p tan-1y x d z z r cos 0 ir COS ix sin d iy sin 0ir cos 0ig u sin pix cos piy M iz iz cos 0ir sin 0is Cartesian 2 2 2 nx y z -i z COS nx y z -i Cylindrical -i z C S Nr z Spherical r 0 ir sin 0 cos pix sin 0 sin pi cos 0iz ie cos 0 cos pix cos 0 sin piy sin 0iz i f sin cos i d sin 0ir cos 0iz cos 0ir sin 0iz u Geometric relations between coordinates and unit vectors for Cartesian cylir drical and spherical coordinate .