q A4兀C0 (x-r/2)2(x+/22 4 4mx(-/23(1+/2y2 Pe gre,x>re <<1 E 1 2gr 1 2p A ATE 3 方向沿x正向 Ae. x 2006-4-29
2006-4-29 21 4 2 2 0 4 ( 1 / 2 ) ( 1 / 2 ) 2 x r x r x qxr e e e − + = πε ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + − − = 2 2 0 ( / 2 ) 1 ( / 2 ) 1 4 e e A x r x r q E πε p e =qr e , x>> r e 3 0 2 4 1 x qr E e A πε = 3 方向沿 x正向 0 2 4 1 x pe πε = 1 4 2 2 << x re
E E E 44兀0x q +g 矢量式 E 12D e A 4Eo x 与电矩的方向一致 2006-4-29
2006-4-29 22 3 0 2 4 1 x p E e A πε = er v A x x − q O + q E − v E+ v 矢量式 3 0 2 4 1 x p E e A v v πε = 与电矩的方向一致 与电矩的方向一致
E.=E= qE/AB 4a(2+r2/4 E.=E. coS 0+E cos e q O =2E,c0s6 /2 COS y2+r2/4 2006-4-29
2006-4-29 23 (2) 4 ( /4) 1 2 2 0 e y r q E E + + = − = πε − q O + q y B y E − v E+ v θ EB v EB = E+ cosθ + E− cosθ = 2E+ cosθ / 4 / 2 cos 2 2 e e y r r + θ =
r./2 E q ER=2E. cos coS 8 4m(y2+72/4 +r2/4 E g E. ty B 4nE|y2+r2/4 3/2 E△B B 时 E EB ACSO gr. 1 p 3480 q 方向沿x负方向 2006-4-29
2006-4-29 24 [ ]3/ 2 2 2 4 0 / 4 1 e e B y r qr E + = ⋅ πε 当 y>>re 时 3 4 0 1 y qr E e B πε = 3 0 4 1 y pe πε = 方向沿x负方向 4 ( /4) 1 2 2 0 e y r q E + + = πε EB = 2E+ cosθ / 4 / 2 cos 2 2 e e y r r + θ = − q O + q y B y E − v E+ v θ EBv
E,= A 4T8o x 90+q A X Peaty B 矢量式 4x 兀E 0 云B B E e E 4IEo y 与电矩的方向相反-90+ 2006-4-29
2006-4-29 25 矢量式 3 0 4 1 y p E e B v v πε = − 与电矩的方向相反 与电矩的方向相反 3 0 2 4 1 x p E e A v v πε = er v A x x −q O + q E − v E+ v − q O + q y B y E − v E+ v θ EBv 3 0 4 1 y p E e B πε =