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COMEDK2014PhysicsCapacitance

The region between the parallel plates of capacitor is filled with parallel layers of air and paper (of dielectric constant 4). The space between the plates is 1 ~mm and the thickness of paper is 0.75 ~mm . The ratio of the voltage across air and paper is

Options

  1. A1 2
  2. B3 4
  3. C4 3
  4. D1 3

Correct answer

C. 4 3

Step-by-step solution

The given situation is shown below d=1 ~mm Thickness of paper, t=0.75 ~mm According to diagram, it is clear that given capacitor is equivalent to a two capacitors connected in series. In series combination, charge on each capacitor is same. Hence, Q_ air =Q_ paper C_ air V_ air =C_ paper V_ paper V_ air V_ paper = C_ paper C_ air aligned &= ₀ K A t ₀ A d-t &= K(d-t) t = 4(1-0.75) 0.75 = 4 3 aligned

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