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A parallel plate capacitor has a common plate area of 5 x 10\(^{-8}\)m2 and plate...

Physics
JAMB 1998

A parallel plate capacitor has a common plate area of 5 x 10\(^{-8}\)m2 and plate separation of 2 x 10\(^{-3}\)m, Assuming free space,

What is the capacitance? [\(\varepsilon\)o = 9.0 X 10-\(^{-12}\)C2N-1m-2]

  • A. 2.25 x 10-17F
  • B. 4.50 x 10-17F
  • C. 2.25 x 10-16F
  • D. 4.50 x 10-16F
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Correct Answer: Option C
Explanation

C = \(\frac{{\varepsilon}_oA}{d}\)

= \(\frac{5{\times} 10^{-8} {\times} 10^{-12}{\times} 9}{2 {\times}10^{-3}}\)

= 2.25 x \(10^{-16}\)F


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