The plates on a capacitor have a radius of 1 point 5 millimeters and are separated by a distance of 0 point 4 3 millimeters The space between the plates is filled with a dielectric that has a dielectric constant of 3 point 8 What is the capacitance of this capacitor?

For a parallel-plate capacitor, C = κε₀A/d, where A = πr². Convert the measurements to meters: r = 1.5 × 10⁻³ m and d = 0.43 × 10⁻³ m, so A ≈ 7.07 × 10⁻⁶ m². Substituting κ = 3.8 and ε₀ = 8.85 × 10⁻¹² F/m gives C ≈ 5.5 × 10⁻¹³ F, which is choice B.

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