Design a 4.50e-7 C Capacitor w/ 220V & 0.375 m2 Plates

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To design a capacitor that stores 4.50 × 10^-7 C with a 220 V power supply and 0.375 m² plates, the maximum plate separation must be calculated. The relevant equation is V = Q*d/(A*ε₀), where ε₀ is the permittivity of free space. A participant calculated the plate separation (d) as 1.62E-2 m but expressed uncertainty about the accuracy. Another participant suggested recalculating and verifying the equation and values used in the calculation. Accurate calculations are essential for determining the correct plate separation in capacitor design.
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Homework Statement



You must design a capacitor capable of storing 4.50 × 10-7 C of charge, but you only have a 220- V power supply and two metal plates of area 0.375 m2 each. What is the largest value the plate separation can be so that you can accomplish the task?


Homework Equations



V = Q*d/A*epilson 0

The Attempt at a Solution



I solved for d, and got 1.62E-2 m. Again, don't know what I am doing wrong here.
 
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Hi purduegirl,

That's not quite the answer I get from your equation. Why don't you calculate it again; if you still get the same thing, please show what equation you got when you solved for d and then exactly the numbers you plugged in your calculator.
 

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