# 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: - Physics

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Numerical

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?

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#### Solution

The situation is represented in the following figure.

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

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

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

In regions, I and III, electric field E is zero. This is because the charge is not enclosed by the respective plates.

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

"E" = sigma/in_0

Where,

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

∴ "E" = (17.0 xx 10^-22)/(8.854 xx 10^-12)

= 1.92 × 10−10 N/C

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

Concept: Continuous Distribution of Charges
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#### APPEARS IN

NCERT Physics Part 1 and 2 Class 12
Chapter 1 Electric Charges and Fields
Exercise | Q 1.24 | Page 48
NCERT Class 12 Physics Textbook
Chapter 1 Electric Charge and Fields
Exercise | Q 24 | Page 48

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