In the circuit shown below, switch S was closed for a long time. If the switch is opened at t = 0, the maximum magnitude of the voltage $$\mathrm{V_R}$$, in volts, is __________ (rounded off to the nearest integer).

The switch S$$_1$$ was closed and S$$_2$$ was open for a long time. At t = 0, switch S$$_1$$ is opened and S$$_2$$ is closed, simultaneously. The value of i$$_\mathrm{c}$$(0$$^+$$), in amperes, is

The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain $${{{V_{out}}} \over {{V_s}}}$$ is

The S-parameters of a two port network is given as

$$[S] = \left[ {\matrix{ {{S_{11}}} & {{S_{12}}} \cr {{S_{21}}} & {{S_{22}}} \cr } } \right]$$

with reference to $${Z_0}$$. Two lossless transmission line sections of electrical lengths $${\theta _1} = \beta {l_1}$$ and $${\theta _2} = \beta {l_2}$$ are added to the input and output ports for measurement purposes, respectively. The S-parameters $$[S']$$ of the resultant two port network is