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Three identical metal plates with large surface areas are kept parallel to each other as shown in the figure. The leftmost plate is given a charge Q , the rightmost a charge - 2 Q and the middle one remains neutral. Find the charge appearing on the outer surface of the rightmost plate.

Options

  1. A- Q 4
  2. B- 2 Q
  3. C- Q
  4. D- Q 2

Correct answer

D. - Q 2

Step-by-step solution

Let the charge distribution on the plates is as shown in the figure. Electric field due to a charged surface having area A and carrying charge q is E = q 2 A ε 0 Let's consider right direction to be positive and left direction to be negative. We know that electric field inside a conductor or metal is zero. Hence, equating electric field at point P inside the right most plate as zero. Q + X 2 A ε O + X 2 A ε O - X 2 A ε O + X 2 A ε O - X 2 A ε O + 2 Q + X 2 A ε O = 0 Q + X 2 A

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