A parallel plate capacitor with air between the plates has a capacitance of 15 pF. [2023]

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Solution

Q.
A parallel plate capacitor with air between the plates has a capacitance of 15 pF. The separation between the plates becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes $\frac{x}{4} pF$ . The value of $x$ is _________. [2023]

Ans.
(105)

$C_{0} = \frac{ε_{0} A}{d} = 15 pF$

$C = \frac{K ε_{0} A}{2 d} = \frac{3.5}{2} \times 15 pF = \frac{105}{4} pF$

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