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Electric circuits miscellaneous

  1. The driving point impedance of the infinite ladder network shown in the figure is (Given : R1 = 2 Ω and R2 = 1.5 Ω)

    1. 3 Ω
    2. 3.5 Ω
    3. 3
      Ω
      3.5

    4. ln1 +
      3
      Ω
      3.5

Correct Option: B

Req = R1 +
(R1 + Req) R2
R1 + R2 + Req

⇒ Req. R1 + Req. R2 + Req 2 = R1 2 + R1 R2 + Req R1 + R1 R2 + Req . R2
⇒ Req = √R1 ² + 2 R1 R2
= √4 + 2 . 2 . 15
= √10 = 3.5 Ω



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