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GATE ECE 2006 | Question-36

A negative resistance $R_{\text {neg }}$ is connected to a passive network $N$ having driving point impedance $Z_{1}$ (s) as shown below. For $Z_{2}(s)$ to be positive real,

  1. $\left|\text{R}_{\text {neg }}\right| \leq \operatorname{Re}_{1}(j \omega), \forall \omega$
  2. $\left|\text{R}_{\text {neg }}\right| \leq\left|Z_{1}(j \omega)\right|, \forall \omega$
  3. $\left|\text{R}_{\text {neg }}\right| \leq \operatorname{Im} Z_{1}(j \omega), \forall \omega$
  4. $\left|\text{R}_{\text {neg }}\right| \leq \angle Z_{1}(j \omega), \forall \omega$
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