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Question: Answered & Verified by Expert
Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area  A3 and the separation between the plates is d, 2d and 3d respectively. The equivalent capacity of combination is (ε 0 = absolute permittivity of free space)
PhysicsElectrostaticsJEE Main
Options:
  • A 7 ε 0 A 18d
  • B 11 ε 0 A 18d
  • C 13 ε 0 A 18d
  • D 17 ε 0 A 18d
Solution:
2966 Upvotes Verified Answer
The correct answer is: 11 ε 0 A 18d
C=QV and  C=ε0Ad

As given C1=ε0 .  A3d; C2=ε0 A6d; C3=ε0 A9d

Ceq=C1+C2+C3for parallel combination of capacitors

  Ceq=ε0Ad13+16+19=11ε0A18d

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