Two thick plates having same charges (same charge density σ) are placed side by side. Consider the case of infinite plate. Find the difference between the electric field present between the plate and remaining space of the plate, (ε=permittivity)
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The left plate produces a field (2ϵ0σ) which points away from it to the left in the region (i) and to the right in region (ii) and (iii). The right plate being negatively charged, produces a field (2ϵ0σ) which points towards it to the right in regions (i) and (ii) and to the left in the region (iii). The 2 fields cancel in region (i) and (iii); they add in region (ii). Thus the field between the plates is ε0σ and elsewhere, 0.