Consider two infinite parallel thin sheets of charge, one in the x = 0 plane and
ID: 1359916 • 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.)
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