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

Question

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 (A) 0.10 cm (B) 0.15 cm (C) 0.20 cm (D) 0.25 cm

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/633a1478aa354d1a44dc6a60f49e59e0-.png" /> (100 ε0/0.5)=(500 ε0/d) d=2.5 cm =0.25 cm

Q. Two parallel plate capacitors have their plate areas $100 c m^{2}$ and $500 c m^{2}$ 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

0.10 cm

0.15 cm

0.20 cm

0.25 cm

$\frac{100 ε _{0}}{0.5} = \frac{500 ε _{0}}{d}$
$d = 2.5 c m = 0.25 c m$

Q. Two parallel plate capacitors have their plate areas 100cm2 and 500cm2 respectively. If they have the same charge and potential and the distance between the plates of the first capacitor is 0.5mm, then the distance between the plates of the second capacitor is