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Electric circuits miscellaneous

  1. The impedance Z(s) of the one-port network shown in the figure is given by

    1. s2 + s(L / C) + (R1 / LC)
      s + (1 / LC)

    2. L
      s2 + s(L + R1 R2 C / R2 LC) + (R1 / LC)
      s + (1 / R1C)

    3. L
      s2 + s(L + C) / R2 + (R1 / LC)
      s + (1 / R2C)

    4. s2 + s(L + R2 C / R1 LC) + (R1 + R2) / R1 LC)
      s + (1 / R1C)
Correct Option: B

Z(s) = R1 + Ls + R2 .
1
Cs
R2 +
1
Cs

= R1 + Ls +
R2
1 + R2Cs

=
R1 + R1 + R2Ls + Ls + R2CLs2 + R
1 + R2Cs



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