Find the area of the metal plate

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SUMMARY

The discussion focuses on calculating the area of metal plates given a charge of 3,000 coulombs and a separation distance of 0.5 mm. The formula used is C = Epsilon0(A) / delta x, where Epsilon0 is 8.85 × 10^-12. The user initially calculated an incorrect area of 1.6 × 10^11 meters, while the expected answer is approximately 250 miles, which translates to around 402,336 meters. The discussion emphasizes the importance of providing complete problem details for accurate assistance.

PREREQUISITES
  • Understanding of capacitance formulas, specifically C = Epsilon0(A) / delta x
  • Familiarity with the concept of electric charge in coulombs
  • Knowledge of the physical constants, particularly Epsilon0 (8.85 × 10^-12 F/m)
  • Ability to convert units, specifically from miles to meters
NEXT STEPS
  • Research the derivation and applications of the capacitance formula C = Epsilon0(A) / delta x
  • Learn about the significance of Epsilon0 in electrostatics and its role in capacitance calculations
  • Explore unit conversion techniques, particularly between miles and meters
  • Investigate common mistakes in capacitance calculations and how to avoid them
USEFUL FOR

Students and professionals in physics or electrical engineering, particularly those working with capacitors and electric fields, will benefit from this discussion.

Mango12
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I know C=Epsilon0(A)/delta x

From the problem, C=3,000
Epsilon0 = 8.85 × 10^-12
and delta x is .5mm

The answer is supposed to be given in meters and should be close to 40,000 but I got 1.6*10^11m...help please!
 
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Can you state the entire problem as given?
 
MarkFL said:
Can you state the entire problem as given?

Now let's find the area of the metal plates. We already know from a previous problem that there is a 3,000 coulomb charge on the plates. The plates are placed .5mm apart. (approximate answer is 250 miles, but give your answer in meters)
 
Mango12 said:
Now let's find the area of the metal plates. We already know from a previous problem that there is a 3,000 coulomb charge on the plates. The plates are placed .5mm apart. (approximate answer is 250 miles, but give your answer in meters)

If a problem depends on a previous problem, then you need to give all relevant information, all in one place, so people don't have to guess at what's going on or chase the information down in other threads. (Whew)
 
MarkFL said:
If a problem depends on a previous problem, then you need to give all relevant information, all in one place, so people don't have to guess at what's going on or chase the information down in other threads. (Whew)

Yes..I have given all relevant information that I know. I know the charge in coulombs and the distance between the plates. Epsilon nought is a given number. And I need to solve for area.
 

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