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AP EAMCET202315 May 2023Morning ShiftPhysicsCapacitanceActual

Two square shaped metal plates of side 1 ~m , kept 0.01 ~m apart in air form a parallel plate capacitor. It is connected to a battery of 500 ~V . The plates of the capacitor are then immersed in an insulting oil by lowering the plates vertically with a speed of 0.001 ~ms ⁻¹ . If the dielectric constant of the oil is 11 , then current drawn from the battery during this process is

Options

  1. A4.425 10⁻⁶ ~A
  2. B4.425 10⁻⁵ ~A
  3. C4.425 10⁻⁹ ~A
  4. D4.425 10⁻² ~A

Correct answer

C. 4.425 10⁻⁹ ~A

Step-by-step solution

aligned & Capacitance, C= (1- x 1) d + K ₀ x d & = ₀ ~d (1- x + Kx ) & or, C = ₀ ~d [1+( K -1) x ] aligned aligned dC dt & = ₀ ~d ( ~K -1) V = 8.85 10⁻¹² 0.01 (11-1) 0.001 & =8.85 10⁻¹² & Q = CV or, I = V , dC dt =500 8.85 10⁻¹² & =4.425 ~A aligned

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