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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Physics
Chapter
Current Electricity

AIIMS 2014 · Physics · Current Electricity

2,4 and 6 ~S are the conductances of three conductors. When they...

2,4 and 6 S6 \mathrm{~S} are the conductances of three conductors. When they are joined in parallel, their equivalent conductance will be

Options

  1. A12 S12 \mathrm{~S}
  2. B(1/12)S(1 / 12) \mathrm{S}
  3. C(12/11)S(12 / 11) \mathrm{S}
  4. D11/12 S11 / 12 \mathrm{~S}

Correct answer

A. 12 S12 \mathrm{~S}

Step-by-step solution

Here, R1=1/2Ω,R2=1/4Ω;R3=1/6ΩR_1=1 / 2 \Omega, R_2=1 / 4 \Omega ; R_3=1 / 6 \Omega In parallel; 1Rp=1R1+1R2+1R3=2+4+6=12\frac{1}{R_p}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}=2+4+6=12 or equivalent conductance, G=1Rp=12 SG=\frac{1}{R_p}=12 \mathrm{~S}
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