Two parallel air capacitors have their plate areas 100 cm 2 and 500 cm 2 , respectively. They have the same charge and potential. If the distance between the plates of the first capacitor is 0.5 mm ,

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Two parallel air capacitors have their plate areas 100 cm 2 and 500 cm 2 , respectively. They have the same charge and potential. If the distance between the plates of the first capacitor is 0.5 mm , the distance between the plates of the second capacitor is

TestHub · Accepted Answer

Here, two parallel plate capacitors have same charge q and same potential V, so they have equal capacitances as ​ C = V q ​ C 1 ​ = C 2 ​ d 1 ​ ε 0 ​ A 1 ​ ​ = d 2 ​ ε 0 ​ A 2 ​ ​ Or d 2 ​ = A 1 ​ A 2 ​ ​ d 1 ​ Now, A 1 ​ = 100 cm 2 , A 2 ​ = 500 cm 2 d 1 ​ = 0.5 mm = 0.05 cm ∴ d 2 ​ = 100 500 × 0.05 ​ = 0.25 cm = 2.5 mm ​

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