Question

The transfer function $\frac{V_2\left(s\right)}{V_1\left(s\right)}$ of the circuit shown below is

• A. $\frac{0.5s+1}{s+1}$
• B. $\frac{3s+6}{s+2}$
• C. $\frac{s+2}{s+1}$
• D. $\frac{s+1}{s+2}$

Answer 1

The correct option is D $\frac{s+1}{s+2}$


$\frac{V_2\left(S\right)}{V_1\left(S\right)}=\frac{R+\frac{1}{Cs}}{\frac{1}{Cs}+R+\frac{1}{Cs}}=\frac{1+RCs}{2+RCs}$

$\frac{1+10\times {10}^3\times 100\times {10}^{-6}s}{2+10\times {10}^3\times 100\times {10}^{-6}s}=\frac{1+s}{2+s}$