Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.0 × 10–22 C/m2. What is E: (a) in the outer region of the first plate, (b) in the outer region of the second plate, and (c) between the plates?

Given:


Surface charge density on plate A, σA = -17.0 × 10-22 Cm-2


Surface charge density on plate B, σB = 17.0 × 10-22 Cm-2


The arrangement of plates are as shonw:



Let electric field in region 1 = E1


Region 2 = E2


Region 3 = E3


The electric field in region I and region III is zero because no charge is present in these regions.


E1 = 0


E2 = 0


We know that,


E3 = σ/ε0 ...(1)


Where, σ Surface charge density


ε0 = permittivity of free space


ε0 = 8.85 × 10-12N-1 m-2C2


Now, plugging the Values in equation (1).



E3 = 1.92 × 10-10 NC-1


The electric field in the region enclosed by the plates is found to be 1.92 × 10-10 NC-1.


The electric field in region III is 1.92 × 10-10 NC-1.


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