※ 引述《yuchungyi (yi)》之銘言： : [領域] 電磁學 (題目相關領域) : [來源] Griffiths (課本習題、考古題、參考書...) : [題目] Two infinite parrallel plates separated by distance s are at : potential 0 and V0.Use Poission's equation to find the potential : V at x=5 in the region between the plates where the space charge : density is p=p0(x/s).The distance x is measured from the plate : at zero potential : (Use V0=10 s=10 p0=8.841921*10^-12 4πεo=9*10^-9) : [瓶頸] 我覺得x=5位置的V不就剛好在V=0和V=V0=10的中間 所以此位置的V就等於 : (0+10)/2=5 但感覺應該沒這麼簡單 請大家幫幫我謝謝 : (寫寫自己的想法，方便大家為你解答) ---------------x=s V=V0 ε ρ=p0(x/s) x=5 V=? ---------------x=0 V=0 d^2 ---V=-P0(x/εs) dx^2 -p0x^3 V = -------- + c1x+c2 6εs V(0)=0 ,C2=0 -p0s^2 p0s V0 V(s)=V0=-------- +c1s , c1=------ + ---- 6ε 6ε s -p05^3 V(5)=-------- + 5c1 6εs 這樣嗎,錯了我自D ? -- 為者常成.行者常至 --

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