Capacitance of a parallel plate capacitor with air as medium is 6, μ F . With introduction of a die

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2. Electric Potential and Capacitance

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The capacitance of a parallel plate capacitor with air as medium is $6\, \mu F$. With the introduction of a dielectric medium, the capacitance becomes $30\, \mu F$. The permittivity of the medium is..........$C ^{2} N ^{-1} m ^{-2}$

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

A

$5.00$

B

$0.44 \times 10^{-13}$

C

$1.77 \times 10^{-12}$

D

$0.44 \times 10^{-10}$

(NEET-2020)

Solution

$C_{m}=\epsilon_{r} C_{0}$

$\epsilon_{r}=\frac{30}{6}=5$

$\epsilon=\epsilon_{0} \cdot \epsilon_{r}=8.85 \times 10^{-12} \times 5$

$e=0.44 \times 10^{-10}$

Standard 12

Physics

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