Ex.1:

a)

$$y_{11}={{jaRC\omega(a+jRC\omega)+a+2jRC\omega}\over {aR(a+2jRC\omega)}}$$

$y_{12}=[1-1/a^2-(1/jC\omega+R/a)(y_{22}-1/aR)]/(R/a)$;

$Y_{21}=-y_{12}$; $y_{22}=y_{11}$

b)

$v_2/v_1\vert_{i_2=0}=-y_{21}/y_{22}$

c)

$$\vert {{v_2}\over {v_1}}\vert^2 = {{a^2[1-(\omega/\omega_0)^... ...r {a^2[1-(\omega/\omega_0)^2]^2+(a^2+2)^2 (\omega/\omega_0)^2}}$$

$\omega_0 = 1/RC$, $\vert v_2/v_1\vert_{\rm min} = 2/(2+a^2)$;

d)

$\phi(\omega_0)=0$;

e)

$a\to 0$, $\vert v_2/v_1\vert \to 1$; $a\to \infty$, $\vert v_2/v_1\vert \to 0$.

f)

$\omega \to 0$, $\vert v_2/v_1\vert \to 1$; $\omega \to \infty$, $\vert v_2/v_1\vert \to 1$.

g)

circuito corta banda.

h)

(algum candidato?)