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# Infinite ladder GATE Notes | EduRev

## GATE : Infinite ladder GATE Notes | EduRev

The document Infinite ladder GATE Notes | EduRev is a part of GATE category.
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Req =  ?
• a)
11.86 Ω
• b)
10 Ω
• c)
25 Ω
• d)
11.18 Ω
Correct answer is option 'D'. Can you explain this answer?

Ref: https://edurev.in/question/485654/Req-a-11-86-Omegab-10Omegac-25-Omegad-11-18OmegaCo

*As ladder is infinitely long. so choose repeating element and mark it as Req /Rnet.*
here choose 10 ohm- 10 ohm as repeating.
then connect that resistance in series with the element which chosen as Repeating ie across CD. Now solve first series combination
R1=(10 Req)
then connect that solved resistance in parallel across AB solve parallel combination
R2=(100 10Req)/(20 Req)
and equate with Req as (Resistance across AB=Resistance across CD).
Req=(100 10Req)/(20 Req)
solve this for Req you get quadratic equation
By solving we get Req=6.18ohm
Now solve the series combination to get final euivalant Resistance
final Req = 5 6.18=11.18 ohms
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