Question

$A$ two port network is described by
$V_1=I_1+2V_2$
$I_2=-2I_1+0.4V_2$
Find the transmission parameters

• A. $\left[\begin{array}{cc}2.2& 0.5\\ 0.2& 0.5\end{array}\right]$
• B. $\left[\begin{array}{cc}0.5& 0.5\\ 0.2& 0.5\end{array}\right]$
• C. $\left[\begin{array}{cc}0.2& 0.5\\ 0.5& 2.2\end{array}\right]$
• D. $\left[\begin{array}{cc}2.2& 0.25\\ 0.25& 0.25\end{array}\right]$

Answer 1

The correct option is A $\left[\begin{array}{cc}2.2& 0.5\\ 0.2& 0.5\end{array}\right]$

Given are the h-parameters
$V_1=I_1+2V_2$ ... (i)
$I_2=-2I_1+0.4V_2$ .. (ii)
Two port network for transmission parameters are given by,
$V_1=A{V}_2+B(-I_2)$ .. (iii)
$I_1=C{V}_2+D(-I_2)$ ... (iv)
From (ii) $\Rightarrow$
$-2I_1=I_2-0.4V_2$
$I_1=\frac{I_2}{-2}-\frac{0.4V_2}{-2}$
$I_1=0.5(-I_2)+0.2V_2$
Comparing this equation with (iv)
$C=0.2,D=0.5$
From equation (i)
$V_1=(-0.5I_2+0.2V_2)+2V_2$
$V_1=2.2V_2+0.5(-I_2)$
Comparing this equation with (iii)
$A=2.2,B=0.5$
$\therefore$ The transmission parameters are
$A=2.2,B=0.5\Omega ,C=0.2\mho ,D=0.5$