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The electric field intensities at points between and outside two thin, separated, parallel sheets of infinite extent carrying like charges of the same surface charge density σ are ______ and ______ respectively.

Asked in GUJCET 2017 · Infinite sheet and sheet combinations

Answer: (2) 0, σ/(ε₀)

Step-by-step solution

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.

Why the other options are wrong

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