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Poles or zeros lying on the jω axis must be?

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in Network Theory by (157k points)
Poles or zeros lying on the jω axis must be?

(a) complex

(b) at least one complex pole

(c) at least one complex zero

(d) simple

This question was addressed to me in examination.

This intriguing question comes from Properties of Driving Point Functions in chapter S-Domain Analysis of Network Theory

1 Answer

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Right answer is (d) simple

Explanation: Poles or zeros lying on the jω axis must be simple because on jω axis the imaginary part of poles or zeros will be zero.

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