NEET2020Physics-Electrostatics

NEET 2020 Physics Effect of Dielectric on Capacitance MCQ Question

Type: MCQ-numerical-Easy-Class 12

The capacitance of a parallel plate capacitor with air as medium is 6 μF. With the introduction of a dielectric medium, the capacitance becomes 30 μF. The permittivity of the medium is:

A

0.44 × 10⁻¹⁰ C² N⁻¹ m⁻²

B

5.00 C² N⁻¹ m⁻²

C

0.44 × 10⁻¹³ C² N⁻¹ m⁻²

D

1.77 × 10⁻¹² C² N⁻¹ m⁻²

Correct Answer

Option A

Detailed Explanation

The dielectric constant k = C/C₀ = 30/6 = 5. The permittivity of the medium ε = kε₀ = 5 × 8.85 × 10⁻¹² = 44.25 × 10⁻¹² = 0.44 × 10⁻¹⁰ C² N⁻¹ m⁻². The original explanation incorrectly stated ε = 1.77 × 10⁻¹² (which is ε₀ itself). The correct answer is A.

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