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ExamsGATETechnical

Consider a two-port network with the transmission matrix: T = [[A, B],[C, D]]. If the network is reciprocal, then

  1. T⁻¹ = T
  2. T² = T
  3. Determinant(T) = 0
  4. Determinant(T) = 1

Correct answer: Determinant(T) = 1

Solution

In a reciprocal two-port network, the determinant of the transmission matrix must equal 1, which ensures that the power transfer characteristics are maintained in both directions, reflecting the symmetry of the network.

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