The capacitance of a parallel plate capacitor with air as medium is $6\mu\text{F}$ . With the introduction of a dielectric medium, the capacitance becomes $30\mu\text{F}$ . The permittivity of the medium is:
$\left({ε}_{0} = 8.85 \times {10}^{- 12}{C}^{2}{N}^{- 1}{m}^{- 2}\right)$

Question

The capacitance of a parallel plate capacitor with air as medium is

6\mu\text{F}

. With the introduction of a dielectric medium, the capacitance becomes

30\mu\text{F}

. The permittivity of the medium is:

\left({ε}_{0} = 8.85 \times {10}^{- 12}{C}^{2}{N}^{- 1}{m}^{- 2}\right)

Quantrex Academy · Accepted Answer

Correct answer: B. 0.44 × 10 ^ - 10 C ^ 2 N ^ - 1 m ^ - 2

C _ m = ∈ _ r C _ 0 ∈ _ r = (30)/(6) = 5 ∈ = ∈ _ 0 . ∈ _ r = 8 . 85 × 10 ^ - 12 × 5 ∈ = 0 . 44 × 10 ^ - 10

The capacitance of a parallel plate capacitor with air as medium is...