ISRO Electrical Engineering (EE) 2018 - Question 54

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Three networks are connected in cascade as shown below: [Figure description: A T/pi-type network drawn with three elements: a series impedance Z2 on the top wire, and two shunt impedances Z1 (at the left, between top and bottom wires) and Z3 (at the right, between top and bottom wires), i.e. a pi network Z1 - Z2 - Z3.] A B C D parameters of the system is: [[A, B], [C, D]] = [[2.0∠-10°, 5∠30°], [1.0∠-20°, 4.0∠10°]]. What is the value of Z2?

  • A. 5∠30°
  • B. 2∠10°
  • C. 0.2∠20°
  • D. 1∠20°

Answer: A. 5∠30°

Explanation: For a symmetrical π-network in cascade, transmission parameter B directly equals the series bridging impedance Z2: Z2 = B = 5∠30°.

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