Directions:

The following question consist of two statements, one labelled as ‘Statement (I)’ and the other as ‘Statement (II)’. You are to examine these two statements carefully and select the answers to these items using the code given below:

Statement (I): Lossless network functions have only imaginary zeros and poles with only negative real parts.

Statement (II): Lossless network functions obey the separation property.

Code:

This question was previously asked in
ESE Electronics 2012 Paper 1: Official Paper
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  1. Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
  2. Both Statement (I and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
  3. Statement (I) is true but Statement (II) is false
  4. Statement (I) is false but Statement (II) is true

Answer (Detailed Solution Below)

Option 2 : Both Statement (I and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
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Detailed Solution

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Lossless Networks are equivalent to LC network. 

Conditions for driving point impedance of LC network:

  1. The driving point impedance of LC network is even or odd
  2. It has simple poles and zeros are on jω axis and interlace.
  3. Highest power of numerator and denominator is differ by 1.
  4. Either one zero or pole are at origin or infinite.
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