(A) The initial capacitance of the air-filled capacitor is given by $C = \frac{\epsilon_0 A}{d}$, where $A = 12 \,cm^2$ and $d = 0.6 \,cm$.When a diel

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(A) The initial capacitance of the air-filled capacitor is given by $C = \frac{\epsilon_0 A}{d}$, where $A = 12 \,cm^2$ and $d = 0.6 \,cm$.When a dielectric slab of thickness $t = 0.6 \,cm$ and dielectric constant $K$ is inserted, and the plate separation is increased by $0.2 \,cm$ (new separation $d' = 0.6 + 0.2 = 0.8 \,cm$), the new capacitance is $C' = \frac{\epsilon_0 A}{d' - t + t/K}$.Given that $C = C'$, we have $\frac{\epsilon_0 A}{d} = \frac{\epsilon_0 A}{d' - t + t/K}$.Substituting the values: $\frac{1}{0.6} = \frac{1}{0.8 - 0.6 + 0.6/K}$.$0.6 = 0.2 + \frac{0.6}{K}$.$0.4 = \frac{0.6}{K}$.$K = \frac{0.6}{0.4} = 1.5$.

Class 12 Physics Electric Potential and Capacitance Effect of Dielectric Inside Capacitor

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$A$ capacitor has air as dielectric medium and two conducting plates of area $12 \,cm^2$ and they are $0.6 \,cm$ apart. When a slab of dielectric having area $12 \,cm^2$ and $0.6 \,cm$ thickness is inserted between the plates, one of the conducting plates has to be moved by $0.2 \,cm$ to keep the capacitance same as in previous case. The dielectric constant of the slab is : (Given $\epsilon_0 = 8.834 \times 10^{-12} \,F/m$)

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Electric Potential and Capacitance

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Effect of Dielectric Inside Capacitor

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$A$ parallel plate capacitor with air between the plates has a capacitance of $15 \text{ pF}$. The separation between the plates is doubled and the space between them is filled with a medium of dielectric constant $3.5$. Then the capacitance becomes $x/4 \text{ pF}$. The value of $x$ is

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$A$ parallel plate capacitor of area $A$ and plate separation $d$ is filled with two dielectrics as shown. What is the equivalent capacitance of the arrangement?

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$A$ capacitor with plate separation $d$ is charged to $V$ volts. The battery is disconnected and a dielectric slab of thickness $\frac{d}{2}$ and dielectric constant $K=2$ is inserted between the plates. The potential difference across its terminals becomes

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$A$ parallel plate capacitor with air between the plates has a capacitance of $15 \text{ pF}$. The separation between the plates is doubled and the space between them is filled with a medium of dielectric constant $3.5$. Then the capacitance becomes $x/4 \text{ pF}$. The value of $x$ is

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