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Question: Answered & Verified by Expert
\( 2,4 \) and \( 6 \mathrm{~S} \) are the conductances of three conductors. When they are joined in parallel, their equivalent conductance will be
PhysicsCurrent ElectricityJEE Main
Options:
  • A \( 12 \mathrm{~S} \)
  • B \( \frac{1}{12} \mathrm{~S} \)
  • C \( \frac{12}{11} \mathrm{~S} \)
  • D \( \frac{11}{12} \mathrm{~S} \)
Solution:
2400 Upvotes Verified Answer
The correct answer is: \( 12 \mathrm{~S} \)

We know that

R=1S

R1=12 Ω, R2=14 Ω, R3=16 Ω
In parallel combination,

the equivalent resistance is given by

1Rp=1R1+1R2+1R3 =2+4+6=12 Ω

Hence, the equivalent conductance isG=1Rp=12 S

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