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GATE EC 2016 Set 2 — Question 19

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NAT+1 / -0MediumZ, Y, h & ABCD ParametersTwo-Port NetworksNetwork Theory

Network Theory → Two-Port Networks → Z, Y, h & ABCD Parameters

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Question

The z-parameter matrix for the two-port network shown is[2jωjωjω3+2jω],\begin{bmatrix} 2j\omega & j\omega \\ j\omega & 3 + 2j\omega \end{bmatrix},where the entries are in Ω\Omega. Suppose Zb(jω)=Rb+jωZ_b(j\omega) = R_b + j\omega.
A T-network with series arm impedances $Z_a$ and $Z_b$, and a shunt arm impedance $Z_c$. The input terminals are $1, 1'$ and output terminals are $2, 2'$.
Then the value of RbR_b (in Ω\Omega) equals ________
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