Home » Uncategorized » Gate 2016 EE - Set 2 - Question 50

Gate 2016 EE - Set 2 - Question 50

Second order characteristic equation \Rightarrow S^{2}+2\delta \omega _{n}S+\omega _{n}^{2}=0
where \delta =0.5 and \omega _{n}=10

The equation now becomes, S^{2}+(2)(0.5)(10)S+100=0

S^{2}+10S+100=0

Check with the given options, which results in the input value of 1.02

Option B checks since, DC gain = \frac{102}{\omega _{n}^{2}}=\frac{102}{100}=1.02

Translate »