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JAMB Physics 1998 Question 42

Question 42

Capacitors

A parallel plate capacitor has a common plate area of 5 × 10−8 m2 and plate separation of 2 × 10−3 m. Assuming free space, what is the capacitance? [ε0 = 9.0 × 10−12 C2 N−1 m−2]

  1. A.2.25 × 10−17 F
  2. B.4.50 × 10−17 F
  3. C.2.25 × 10−16 F
  4. D.4.50 × 10−16 F
Show the answer and explanation

Answer: C (2.25 × 10−16 F)

Explanation

C = ε0A/d = 9.0 × 10−12 × 5 × 10−8 ÷ (2 × 10−3) = 2.25 × 10−16 F.