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CGP EDU Academic Team
Published on: September 12, 2026
The capacity of a parallel plate condenser is $10 \mu F$ without dielectric. Dielectric of constant 2 is used to fill half the distance between the plates, the new capacitance in $\mu uF$ is
Text Solution
Verified by ExpertsThe correct answer is:
D
$C = \frac{A \varepsilon_0}{d} = 10 \mu F$
$C_1 = \frac{A \varepsilon_0}{d - t + \frac{t}{k}} = \frac{A \varepsilon_0}{d - \frac{d}{2} + \frac{d}{2k}} = \frac{A \varepsilon_0}{\frac{d}{2} \left( 1 + \frac{1}{k} \right)} = \frac{4}{3} \cdot \frac{A \varepsilon_0}{d}$
∴ ∴ $C_1 = \frac{4}{3} \times 10 = 13.33 \mu F$
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