When the number of poles is equal to the number of zeros, how many branches of root locus tend towards infinity?

This question was previously asked in
ESE Electronics 2014 Paper 2: Official Paper
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  1. 1
  2. 2
  3. 0
  4. Equal to the number of zeros

Answer (Detailed Solution Below)

Option 3 : 0
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Detailed Solution

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Concept:

No. of branches towards infinity = No. of poles – No. of zeroes.

When the number of poles = No. of zeroes, then the number of branches towards infinity = 0

Example:

\(G\left( s \right)H\left( s \right) = \frac{{K\left( {s + 2} \right)}}{{\left( {s + 3} \right)\left( {s + 4} \right)}}\) 

F2 Shubham Madhu 09.11.20 D 3

Only one branch towards infinity since P – Z = 1

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