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An air -filled parallel-plate capacitor ...

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).`

Text Solution

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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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