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Question -

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



Answer -

The situation isrepresented in the following figure.

A and B are two parallelplates close to each other. Outer region of plate A is labelled as I, outer region of plate B is labelledas III, and the regionbetween the plates, A and B, is labelled as II.

Chargedensity of plate A,σ = 17.0 × 10−22 C/m2

Charge density of plate B, σ = −17.0 × 10−22 C/m2

In the regions, I and III, electric field E is zero. This is because charge isnot enclosed by the respective plates.

Electric field E in region II is given by the relation,

Where,

0 = Permittivity offree space = 8.854 × 10−12 N−1Cm−2

= 1.92 × 10−10 N/C

Therefore, electric fieldbetween the plates is 1.92 × 10−10 N/C.

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