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Asked in GUJCET 2017 · Infinite sheet and sheet combinations
Idea: an infinite sheet with charge density σ gives a uniform field σ/(2ε₀) on each side, pointing away from the sheet (for positive σ). Add the two sheets' fields.
Between the sheets: sheet 1's field points towards sheet 2 and sheet 2's points towards sheet 1, so E=σ/(2ε₀)-σ/(2ε₀)=0.
Outside, on either side: both fields point away from the pair, in the same direction, so E=σ/(2ε₀)+σ/(2ε₀)=σ/(ε₀).
So the field is 0 between the sheets and σ/(ε₀) outside them.
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