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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 ElectricityAIIMSAIIMS 2014
Options:
  • A $12 \mathrm{~S}$
  • B $(1 / 12) \mathrm{S}$
  • C $(12 / 11) \mathrm{S}$
  • D $11 / 12 \mathrm{~S}$
Solution:
2433 Upvotes Verified Answer
The correct answer is: $12 \mathrm{~S}$
Here, $R_1=1 / 2 \Omega, R_2=1 / 4 \Omega ; R_3=1 / 6 \Omega$
In parallel; $\frac{1}{R_p}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}=2+4+6=12$
or equivalent conductance, $G=\frac{1}{R_p}=12 \mathrm{~S}$

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