=EoE,(x0) 、o迹 2fe-r]-fa. 元「-2(a-x)2(a+x) =4标a-x+ya++yl0 -λ.a (a2+y2） Total Charge per unit length on ground plane is: 入k-0)=y-v tan-1 y =-λ 6架紧y列 -aA d-aAC'dU take U=Uo cos ot C'Aa Vo =-isRs=-- π(a2+y2） Uosint 6.641,Electromagnetic Fields,Forces,and Motion Lecture 5 Prof.Markus Zahn Page 7 of 116.641, Electromagnetic Fields, Forces, and Motion Lecture 5 Prof. Markus Zahn Page 7 of 11 s 0x 0 ( ) x 0 Ex0 x = ∂Φ σ = = =− ∂ ε ε + ε = 0 λ π ε 4 0 () () ⎡ ⎡ ⎤⎡ ⎤⎤ −+− ++ ⎢ ⎢ ⎥⎢ ⎥⎥ ⎣ ⎣ ⎦⎣ ⎦⎦ d 2 2 2 2 ln a x y ln a x y dx ( ) ( ) ( ) ( ) 2 2 2 2 x 0 2a x 2a x 4 ax y ax y = ⎡ ⎤ λ −− + ⎢ ⎥ − −+ ++ ⎣ ⎦ = π ( ) 2 2 a a y −λ = π + Total Charge per unit length on ground plane is: ( ) ( ) T s 2 2 y a a x 0 dy dy a y ∞ ∞ = −∞ −∞ −λ −λ λ == σ = = π + ∫ ∫ 1 π a 1 y tan a ∞ − π −∞   = −λ ( ) ( ) s s 22 22 dq aA d aAC dU d i A dt dt dt dt ay ay σ − λ− =≈ = = π+ π+ take U U cos t 0 = ω ' ( ) =− =− ω ω π + 0 ss 0 2 2 C ' Aa v iR U sin t a y