Two infinite, nonconducting sheets of charge are parallel to each other, as show

Question

Two infinite, nonconducting sheets of charge are parallel to each other, as shown in Figure P24.62. The sheet on the left has a uniform surface charge density , and the one on the right has a uniform charge density -.

Calculate the electric field at the following points. (Hint: See Example 24.8 in the textbook. Use sigma for and epsilon_0 for 0, the permittivity of free space.)
(a) to the left of the two sheets
E =    --Direction-- to the left to the right upward downward into the page out of the page Magnitude is zero.
(b) in between the two sheets
E =    --Direction-- to the left to the right upward downward into the page out of the page Magnitude is zero.
(c) to the right of the two sheets
E = --Direction-- to the left to the right upward downward into the page out of the page Magnitude is zero.

Explanation / Answer

electric field due to charged plate is,

E1=sigma/2eo ----due to first sheet

E2=sigma/2eo --------due to second sheet

a)

Enet=(E1-E2)

=(sigma/2eo)-(sigma/2eo)

=0

resultant electric field is zero

b)

Enet=(E1+E2)

=(sigma/2eo)+(sigma/2eo

=sigma/eo

direction of electric field is towards right

c)

Enet=(E1-E2)

=(sigma/2eo)-(sigma/2eo)

=0

resultant electric field is zero

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