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GATE 2026 EC – Question 51

Networks, Signals and Systems · Two-Port Networks and Wye-Delta Transformation · 2 marks · Multiple choice

Consider the two-port network as shown in the Figure. Which of the following options provides the correct set of values of A, B, C and D parameters?

Diagram for GATE 2026 EC question 51
  1. A = 1/2, B = 3×10³ Ω, C = 10⁻³ Ω⁻¹, D = 1/2
  2. A = 2, B = 3 Ω, C = 1 Ω⁻¹, D = 2
  3. A = 2, B = 6×10³ Ω, C = 2×10⁻³ Ω⁻¹, D = 2
  4. A = 2, B = 3×10³ Ω, C = 10⁻³ Ω⁻¹, D = 2

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Correct answer: (D) A = 2, B = 3×10³ Ω, C = 10⁻³ Ω⁻¹, D = 2

Explanation

For a T-network with $Z_1=Z_2=Z_3=1$ kΩ: $A=1+Z_1/Z_3=2$, $B=Z_1+Z_2+Z_1Z_2/Z_3=3$ kΩ, $C=1/Z_3=10^{-3}$ Ω⁻¹, $D=1+Z_2/Z_3=2$.