GATE Prev Year : Networks Test-2

The circuit shown in Figure, with has input voltage v(t) = sin2t. The resulting current i(t) is

The 2-port admittance matrix of the circuit shown is given by

Let x (t) = a s (t) + s (–t) with s (t) = βe^–4t u (t), where u (t) is unit step function. If the bilateral Laplace transform of x (t) is

Then the value of β is _________

If R₁ = R₂ = R₄=R and R₃ = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between a and b is

In the given circuit, the maximum power (in Watts) that can be transferred to the load R_L is ________.

A network is described by the state model as
 
The transfer function H(s) is.