Two parallel plate capacitors have their plate areas $100 \,cm ^2$ and $500 \,cm ^2$ respectively. If they have the same charge and potential and the distance between the plates of the first capacitor is $0.5 \,mm$, then the distance between the plates of the second capacitor is ........ $cm$
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(d)
$\frac{100 \varepsilon_0}{0.5}=\frac{500 \varepsilon_0}{d}$
$d=2.5 \,cm =0.25 \,cm$
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