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Consider two infinite parallel thin sheets of charge, one in the x = 0 plane and

ID: 1339701 • Letter: C

Question

Consider two infinite parallel thin sheets of charge, one in the x = 0 plane and the other in the x = a plane. The potential is zero at the origin.

(a) Find the electric potential everywhere in space if the planes have equal positive charge densities +. (Use any variable or symbol stated above along with the following as necessary: 0.)


(b) Find the electric potential everywhere in space if the sheet in the x = 0 plane has a charge density + and the sheet in the x = a plane has a charge density . (Use any variable or symbol stated above along with the following as necessary: 0.)

Vx < 0 = V0 < x < a = Vx > a =

Explanation / Answer

part A :

if x <0, Electric field E = sigma/eo

Electric potential V = sigma x/eo

ii) 0 < x < a

E = 0 , V = 0


iii) for x > a

E = sigma/eo

V = sigma x/eo

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part B : for x < 0, E= 0 , V = 0


ii) 0 < x < a

E = sigma/eo

V = sigma x/eo


iii) x>0

E = 0

V = 0