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Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuum
  • a)
    18 x 108 m2
  • b)
    0.3 x 108 m2
  • c)
    1.3 x 108 m2
  • d)
    1.13 x 108 m2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Calculate the area of the plates of a one farad parallel plate capacit...
For a parallel plate capacitor


This corresponds to area of square of side 10.6 km which shows that one farad is very large unit of capacitance.
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Community Answer
Calculate the area of the plates of a one farad parallel plate capacit...
To calculate the area of the plates of a one farad parallel plate capacitor, we can use the formula for capacitance:

C = ε₀A/d

Where:
C is the capacitance of the capacitor (1 farad in this case),
ε₀ is the permittivity of free space (a constant equal to 8.85 x 10^-12 F/m),
A is the area of the plates, and
d is the separation between the plates (1 mm or 0.001 m in this case).

We can rearrange the formula to solve for A:

A = Cd/ε₀

Substituting the given values into the formula, we have:

A = (1 F)(0.001 m)/(8.85 x 10^-12 F/m)

Simplifying the expression, we get:

A = 1.13 x 10^8 m²

Therefore, the area of the plates of the one farad parallel plate capacitor is approximately 1.13 x 10^8 m².

So, the correct answer is option 'D' (1.13 x 10^8 m²).
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Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuuma)18 x108 m2b)0.3 x108 m2c)1.3 x 108 m2d)1.13 x 108 m2Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuuma)18 x108 m2b)0.3 x108 m2c)1.3 x 108 m2d)1.13 x 108 m2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuuma)18 x108 m2b)0.3 x108 m2c)1.3 x 108 m2d)1.13 x 108 m2Correct answer is option 'D'. Can you explain this answer?.
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