For the 2-port network shown in Fig. determine the h-parameters. Using these parameters, calculate the output (port '2' ) $${v_2}$$, when the output port is terminated in a 3$$\Omega $$ resistance and a 1 V (DC) is applied at the input port ($${v_1}$$ = 1 V).

The final value theorem is used to find the

If L$$\left[ {f\left( t \right)} \right]$$ = $${{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$, then $$f\left( {0 + } \right)\,$$ and $$f\left( \infty \right)$$ are given by

A sinsoidal signal, v(t) = A sin(t), is applied to an ideal full-wave rectifier. Show that the Laplace Transform of the output can be written in the form, $${V_0}\left( s \right) = {A \over {{s^2} + 1}}Coth\left( {\alpha s} \right),$$

where α is a constant. Determine the value of α.