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The necessary and sufficient condition for a rational function of $\mathrm{s}$. $\mathrm{T}(\mathrm{s})$ to be driving point impedance of an $\textsf{RC}$ network is that all poles and zeros should be

- simple and lie on the negative axis in the s-plane
- complex and lie in the left half of the s-plane
- complex and lie in the right half of the s-plane
- simple and lie on the positive real axis of the s-plane