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KCET2016PhysicsCapacitance

Four metal plates are arranged as shown. Capacitance between ( X ) and ( Y ) (A ( ) Area of each plate, ( d ) distance between the plates)

Options

  1. A( 3 2 ₀ A d )
  2. B( 2 ₀ ~A d )
  3. C( 2 3 ₀ A d )
  4. D( 3 ₀ ~A d )

Correct answer

C. ( 2 3 ₀ A d )

Step-by-step solution

Area of each plate = A There are ( 3 ) plates between ( X ) and ( Y ) and each will have a contribution of ( C 3 ) Therefore, capacitance between ( X ) and ( Y =2 C 3 = 2 3 ₀ A d )

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