Capacitance of a parallel plate capacitor with air as dielectric is 6 μF. With introduction of dielectric medium, capacitance becomes 30 μF. Permittivity of the medium is (ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻²):
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Question

Capacitance of a parallel plate capacitor with air as dielectric is 6 μF. With introduction of dielectric medium, capacitance becomes 30 μF. Permittivity of the medium is (ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻²):

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G1 Physics · Accepted Answer

Step 1: Dielectric constant K = C/C₀ = 30/6 = 5. Step 2: Absolute permittivity ε = Kε₀ = 5 × 8.85 × 10⁻¹². Step 3: ε = 4.425 × 10⁻¹¹ C² N⁻¹ m⁻² ≈ 4.44 × 10⁻¹¹.