The steady state output of the circuit shown in the figure is given by $$$y\left( t \right) = {\rm A}\left( \omega \right)\sin \left( {\omega t + \phi \left( \omega \right)} \right)$$$

If the amplitude $$\left| {{\rm A}\left( \omega \right)} \right| = 0.25$$, then the frequency $$\omega $$ is

The equivalent resistance in the infinite ladder network shown in the figure, is$${R_e}$$

The value of $${R_e}/R$$ is _______________

A Fourier transform pair is given by $${\left( {{2 \over 3}} \right)^n}$$ u $$\left[ {n + 3} \right]\,\mathop \Leftrightarrow \limits^{FT} \,{{A{e^{ - j6\pi f}}} \over {1 - \left( {{2 \over 3}} \right){e^{ - j2\pi f}}}}$$ ,
where u(n) donotes the unit step sequence. The values of A is_______________.

The unilateral Laplace transform of F(t) is $${1 \over {{s^2} + s + 1}}$$. Which one of the following is the unilateral Laplace transform of g(t) = $$t \cdot f\left( t \right)$$