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  1. In a infinite ladder circuit as shown above each resistance of r Ω then find RAB

    2. A.
    ∞
    B.
    C.
    1.61r
    D.
    none of the above

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    Answer : Option C

    Explanation :

    Let RAB = R

    Since ladder is infinite we can assume RCD = R

    ∴ R = r + (r || R) =

    ∴

    ∴ Rr + R2 = r2 + 2rR

    R = 1.61r or - 0.615r

    R cannot be negative

    ∴ R = 1.61r.

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