STANDARDPhysics-Electrostatics

STANDARD Physics Capacitance MCQ Question

Type: MCQ-numerical-Medium

The capacitance of a parallel plate capacitor with air as medium is 3 μF. With the introduction of a dielectric medium between the plates, the capacitance becomes 15 μF. The permittivity of the medium is

A

5 C² N⁻¹ m⁻²

B

15 C² N⁻¹ m⁻²

C

0.44 × 10⁻¹⁰ C² N⁻¹ m⁻²

D

8.854 × 10⁻¹¹ C² N⁻¹ m⁻²

Correct Answer

Option C

Detailed Explanation

The capacitance increases by a factor of 5, indicating the dielectric constant K = 5. Using the relation C = Kε₀A/d, the permittivity ε = Kε₀ = 0.44 × 10⁻¹⁰ C² N⁻¹ m⁻².

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