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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

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Question

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 17.7 × 10–22 C/m2. What is electric field intensity E:

  1. in the outer region of the first plate, and
  2. between the plates?
Numerical
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Solution


Surface charge density of plate A = +17.7 × 10–22 C/m2

Surface charge density of plate B = –17.7 × 10–22 C/m2

  1. In the outer region of plate I, the electric field intensity E is zero.
  2. Electric field intensity E in between the plates is given by the relation E = `σ/∈_0`

Where, ∈0 = Permittivity of free space = 8.85 × 10–12 N–1C2m–2

∴ E = `(17.7 xx 10^-22)/(8.85 xx 10^-1)`

Therefore, the electric field between the plates is 2.0 × 10–10N/C

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