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

  • Thread starter Thread starter purduegirl
  • Start date Start date
  • Tags Tags
    Capacitor Design
AI Thread Summary
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.
purduegirl
Messages
74
Reaction score
0

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.
 
Physics news on Phys.org
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.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Capacitance of a Parallel Plate Capacitor
Replies
28
Views
2K
Solving for distance between plates, diameter of a capacitor
Replies
5
Views
3K
Capacitance and Dielectrics in Parallel Plate Capacitors
Replies
2
Views
2K
Energy stored in parallel plate capacitor
Replies
2
Views
1K
Increase in Charge on a Parallel Plate Capacitor
Replies
3
Views
2K
Effects of capacitors on potential difference
Replies
7
Views
2K
Electrostatic energy after a metal piece is inserted between 2 capacitor plates
Replies
12
Views
2K
Capacitance capacitor parallel plate with dielectric (Gauss)
Replies
1
Views
1K
Point charge between two parallel plates (capacitor)
Replies
26
Views
6K
A dielectric-filled parallel-plate capacitor has plate area
Replies
1
Views
7K

Hot Threads

Recent Insights

Back
Top