GATE 2015 EE – SET 1 – Question 24

Solution :

General TF $$\Rightarrow $$ G(s) = $$\frac{k\left [ 1+\frac{s}{z} \right ]}{\left [ 1+\frac{s}{p} \right ]}$$

Z = 1000 , P = 10

G(s) = $$\frac{k\left [ 1+\frac{s}{1000} \right ]}{\left [ 1+\frac{s}{10} \right ]}$$

G(s) =$$ \frac{k\left [ s+1000 \right ]}{100\left [ s+10 \right ]}$$

20  log_$${10}$$k = 20
log_$${10}$$k = 1
k = 10

G(s)= $$\frac{10\left [ s +1000 \right ]}{100\left [ s+10 \right ]}$$

G(s) = $$\frac{s+1000}{10(s+10)}$$