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Question: Answered & Verified by Expert
In the given figure, three capacitors each of capacitance \( 6 \mathrm{pF} \) are connected in series. The total capacitance of the combination becomes
PhysicsCapacitanceJEE Main
Options:
  • A \( 2 \times 10^{-12} \mathrm{~F} \)
  • B \( 3 \times 10^{-12} F \)
  • C \( 6 \times 10^{-12} F \)
  • D \( 9 \times 10^{-12} F \)
Solution:
1167 Upvotes Verified Answer
The correct answer is: \( 2 \times 10^{-12} \mathrm{~F} \)
The reciprocal of equivalent capacitance of any number of capacitors joined in series is equal to sum of the reciprocals of individual capacitances.
For n capacitors connected in series, total capacitance would be
1CS=i=1i=n1Ci
Or, 1CS=1C1+1C2+1C3+
1Cs=16+16+16=36=12
CS=2 pF=2×10-12 F

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