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AP EAMCET202317 May 2023Evening ShiftPhysicsCapacitanceActual

The space between the plates of a parallel plate capacitor is filled with a mica sheet of thickness 1 10⁻³ ~m and a fiber sheet of thickness 0.5 10⁻³ ~m . The dielectric constants of mica and fiber are 8 and 2.5 respectively. If the fiber breaks down at an electric field of 6.4 10⁻⁶ Vm ⁻¹ then the maximum voltage that can be applied to the capacitor is

Options

  1. A3400 ~V
  2. B5200 ~V
  3. C2700 ~V
  4. D4800 ~V

Correct answer

B. 5200 ~V

Step-by-step solution

Thickness, d ₁=1 10⁻³ ~m and d ₂=0.5 10⁻³ ~m Dielectric constant, K ₁=8 and K ₂=2.5 Electric field; E ₂=6.4 10⁻⁶ ~V / m aligned E ₁ & = K ₁ ₀ E ₂ & = K ₂ ₀ E ₁ E ₂ & = K ₂ ~K ₁ E ₁ & = E ₂ ~K ₁ ~K ₂ = 6.4 10⁻⁶ 8 2.5 =20.48 10^6 v / m aligned

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