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An air-filled parallel-plate capacitor is to be constructed which can store 12 μC of charge when operated at 1200 V. What can be the minimum plate area of the capacitor? The dielectric strength of air is 3 × 10^6 V/m.

Shane Macguire , 10 Years ago
Grade upto college level
anser 1 Answers
Jitender Pal

Last Activity: 10 Years ago

Sol. Q = 12 μc V = 1200 V v/d = 3 * ^10-6 v/m d = v/(v/d) = 1200/3 * 10^-6 = 4 * 10^-4 m c = Q/v = 12 * 10^-6/1200 = 10^-8 f ∴ C = ε base 0A/d = 10^-8 f ⇒ A = 10^-8 * d/ε base 0 = 10^-8 *4 * 10^-4/8.854 * 10^-4 0.45m^2

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