# Solved Problems-6

Problems-6

The z-parameters for a network N are:

The terminal connections for the network are shown in the adjacent figure. Calculate the voltage ratio

*V*_{2}/*V*, current ratio â€“_{s}*I*_{2}/*I*_{1}and input resistance*V*_{1}/*I*_{1.}Solution

The

*z*-parameter equations are:*V*

_{1}= 2

*I*

_{1}+

*I*

_{2}(i)

*V*

_{2}= 2

*I*

_{1}+ 5

*I*

_{2}(ii)

By KVL at the input and output circuits,

*I*

_{1}+

*V*

_{1}=

*V*â‡’ 3

_{s}*I*

_{1}+

*I*

_{2}=

*V*(iii) {by (i)}

_{s}and 5

*I*_{2}+*V*_{2}= 0 â‡’ 2*I*_{1}+ 10*I*_{2}= 0 (iv) {by(ii)}Solving (iii) and (iv),

âˆ´

Now,

âˆ´

Again,

*V*

_{1}= (2

*I*

_{1}+

*I*

_{2}) =

âˆ´