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In a hybrid TEE (Magic T), following statements are given :

1. \(S_{11}, S_{22}, S_{33}\) and \(S_{44}\) are non-zero.
2. All junctions are reciprocal i.e. \(S_{jk} = S_{kj}\)
3. \(S_{11}, S_{22}, S_{33}\) and \(S_{44}\) are zero.
4. \(S_{13} = -S_{23}, S_{14} = S_{24}, S_{43} = 0\) and \(S_{34} = 0\)

Which one of the following is true ?

  • A.1, 2 and 4 are correct.
  • B.1 and 2 are correct.
  • C.2, 3 and 4 are correct.
  • D.1, 2 and 3 are correct.

Answer: C

Statements 2, 3 and 4 are correct. In an ideal magic tee all four ports are matched, so the diagonal scattering parameters \(S_{11}, S_{22}, S_{33}\) and \(S_{44}\) are zero; statement 3 is true and statement 1 is false. The junction is passive and reciprocal, so \(S_{jk} = S_{kj}\), which is statement 2. The H-arm and E-arm are isolated from each other, so \(S_{34} = S_{43} = 0\), and the side arms satisfy \(S_{13} = -S_{23}\) and \(S_{14} = S_{24}\), which is statement 4.


Any option that contains statement 1 claims the ports are not matched, which is wrong for the ideal device. Only option (C) leaves it out and includes 2, 3 and 4.

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