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817.2 The calculation of the electric potential 3 Calculate the electric potential at a point x between two infinite, uniformly charged plates, separated by a distance d 十 E (0<x< 与 (x<0,x> region x< 0 =「E=[odx=0 V=0 817.2 The calculation of the electric potential region r>d =∫E=+E)d2= 5050 region 0<x<d V=E·dF=(-Ei),di y=—x Eo (d)-V(0)=d=Ed9 ⎪ ⎩ ⎪ ⎨ ⎧ < > − < < = 0 ( 0, ) (0 ) 0 x x d x d E ε σ §17.2 The calculation of the electric potential 3Calculate the electric potential at a point x between two infinite, uniformly charged plates, separated by a distance d. ⋅ + σ O x − σ region x < 0 d 0d 0 0 0 = ⋅ = = ∫x ∫x V E r x r r VO = 0 region x > d V E r x Ei xi x d d d d x 0 0 0 f 0 i d ˆ ) d ˆ d 0d ( ε σ ε σ = ⋅ = + − ⋅ = − = ∫ ∫ ∫ ∫ r r region 0 < x < d x x V E r Ei xi x x 0 0 0 f 0 i d ˆ ) d ˆ d ( ε σ ε σ = − = = ⋅ = − ⋅ ∫ ∫ ∫ r r ⋅ − σ O x + σ x V O d V d −V = d = Ed 0 ( ) (0) ε σ §17.2 The calculation of the electric potential
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