An air -filled parallel-plate capacitor is to be constructed which can store`12 mu C` of charge when operated at `1200V.`What can be the minimum plate area of the capacitor?The dielectric strength air is `3xx10^6Vm^(-1).`

An air -filled parallel-plate capacitor is to be constructed which can

1.	An air -filled parallel-plate capacitor is to be constructed which can store`12 mu C` of charge when operated at `1200V.`What can be the minimum plate area of the capacitor?The dielectric strength air is `3xx10^6Vm^(-1).`
Answer» Here `Q = 12 muC, V = 1200 V,A = ?` Dielectric Strength `= 3xx10^(7) V//m` The electric field between the planes should not exceed `10%` of the dielectric strength i.e., `E = (sigma)/(in_(0)) = (Q)/(A in_(0)) = (10)/(100) xx 3xx10^(7) = 3xx10^(6) V//m` `:. A = (Q)/(in_(0)xx3xx10^(6)) = (12xx10^(-6))/(8.85xx10^(-12)xx3xx10^(6))` `= 0.45 m^(2)`

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An air -filled parallel-plate capacitor is to be constructed which can store`12 mu C` of charge when operated at `1200V.`What can be the minimum plate area of the capacitor?The dielectric strength air is `3xx10^6Vm^(-1).`

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