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A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3 × 1 0 4 V/m , the charge density of the positive plate will be close to :

Options

  1. A6 × 1 0 - 7 C / m 2
  2. B3 × 1 0 - 7 C / m 2
  3. C3 × 1 0 4 C / m 2
  4. D6 × 1 0 4 C / m 2

Correct answer

A. 6 × 1 0 - 7 C / m 2

Step-by-step solution

E = 3 × 1 0 4  V/m We know that Q = CV = k ε 0 A d · E · d = k ε 0 AE Q A = k ε 0 E = 2.2 × 8.85 × 10 - 12 × 3 × 10 4 = 58.41 × 10 - 8 = 5.84 × 10 - 7 ≈ 6 × 10 - 7 C / m 2

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