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  4. 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

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Q. 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

Electrostatic Potential and Capacitance

Solution:

image
$\frac{100 \varepsilon_{0}}{0.5}=\frac{500 \varepsilon_{0}}{d}$
$d=2.5 \,cm =0.25\, cm$