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Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$

                                

Two such blocks are connected in cascade, as shown in the figure.

                                     

The transfer function $\frac{V_{3}(s)}{V_{1}(s)}$ of the cascaded network is

  1. $\frac{s}{1+s} \\$
  2. $\frac{s^{2}}{1+3s+s^{2}} \\$
  3. $\left ( \frac{s}{1+s} \right )^{2} \\$
  4. $\frac{s}{2+s}$
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Answer is B and this is the correct way to solve.

Answer: