Recent questions in Time and frequency domain analysis of linear circuits

The Laplace Transform of the signal $x(t)=u(t-2) *(t u(t))$ is given by which of the following expressions?["*" represents convolution operator]$\dfrac{e^{-2 s}}{s^{2}(s-...

Consider the circuit shown in the Figure, where the input $v_{i}(t)$ is in Volt.The average power (in $\text{mW}$ ) dissipated in the load resistance of $1 ~\mathrm{k} \O...

In the circuit given below, the switch $\text{S}$ was kept open for a sufficiently long time and is closed at time $t=0$. The time constant (in seconds) of the circuit fo...