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Capacitance of isolated bodies - class-XII
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The capacitance of an air filled parallel plate capacitor is $10\times {10}^{-12}F$. The separation between the plates is doubled and the space between the plates is then filled with wax giving the capacitance a new value of $40\times {10}^{-12}F$. The dielectric constant of wax is:
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A
$8.0$
💡 Explanation:
${C} _{1}=\cfrac{{ \varepsilon } _{ 0 }A}{d}$ and ${C} _{2}=\cfrac{K{ \varepsilon } _{ 0 }A}{2d}$
$\Rightarrow$ $\cfrac{{C} _{2}}{{C} _{1}}=\cfrac{K}{2}=\cfrac{40\times {10}^{-12}}{10\times {10}^{-12}}$
$\Rightarrow$ $K=8$