In the $$RLC$$ circuit shown in the figure, the input voltage is given by v_i(t) = 2 cos(200t)+4 sin(500t). The output voltage v₀(t) is

The z-parameter matrix for the two-port network shown is $$$\left[ {\matrix{ {2\,j\,\omega } & {j\,\omega } \cr {j\,\omega } & {3\, + \,2\,j\,\omega } \cr } } \right]$$$ Where the entries are in $$\Omega $$. Suppose $$\,{Z_b}\,\left( {j\,\omega } \right) = {R_b} + j\,\omega $$ Then the value of $${R_b}$$ (in $$\Omega $$) equals _______________________3

The z-parameter matrix $$\begin{bmatrix}z_{11}&z_{12}\\z_{21}&z_{22}\end{bmatrix}$$ for the two-port network shown is

Assume that the circuit in the figure has reached the steady state before time t = 0 when the 3 Ω resistor suddenly burns out, resulting in an open circuit. The current i(t) (in ampere) at t = 0⁺ is ____________.