31 1 1 jlok ii z so x ii r but z v a at 0 prob 162

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: e V x B = 0 (B is uniform) and = -x' x + (y - y') - z' B)] dx' + dy' y; ProblemA 5.31 1 1 J.LoK ii = z; so x ii r)]. But z V (a) At 0 (Prob. 1.62). X x A Y -2V x (r =x 0, Bbelow[(B.J.LonI - =(r. V)B + r(V.s; B) -KB(V. = - K Z. x r = the surface of the solenoid, Babove V = B) = -2 = V)r z Evidently Eq. 5.74~holds.dx' ,( 0 = (-z' dy') X + (z' dx') y + [(y - y') dx' + x' dy'] z. dl' X = dy' (r. (b) In = 0 5.67, Vboth expressions B -z' uniform), and V . r = ~~ at the + ~: = so+Eq.+ 5.75 is satisfied. V)B Eq. and . B = 0(y - y') reduce to (J.LoR2VJa/3)sin()(iJ + ~~ surface, 1 1 1 = 3. Finally, (since is -x' aA 2Sin () ;., J.LoR4VJa 2J.LoRv.Ja . J.LoRv.Ja. () ;., 8 h I f .d 8A . () ;., f dx' x' - :y (B.V)r = (Bx 3:xdB1=--=-+dl' x:z) =Pol (-z' 3 dy') sm+Bx x+Byy+Bz =-z = B. Sosm dy'] = 0 tee + By~Pol Bz'P~ (xx+yy+zz) X 'P;!:I ury + [(y y') 3 + VxA'P' Z -~(B-3B) t S1 e B. = (z' dx') R=0 r R+ = r R qed 471" 1-3 [(x')2 r) = y')2 + (z')2]3/2 Eq. 5.76 is -J.LoRVJa sin() (iJ. Meanwhile 471" = av = a(~ x + (y - aVJRsi...
View Full Document

Ask a homework question - tutors are online