GATE EC 2013 Question Paper (10-Feb-2013) (Shift 2)

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

$\stackrel{U\left(s\right)}{\to }\boxed{\frac{1}{s}}\stackrel{Y\left(s\right)}{\to }$

The transfer function $\frac{V_2\left(s\right)}{V_1\left(s\right)}$ of the circuit shown below is

A source $V_s\left(t\right)=Vcos100\pi t$ has an internal impedance of (4 + 3j) Ω, if a purely resistive load is connected at load to extract P${}_{max}$ , then its value is (in ohms)

The return loss of a device is found to be 20 dB. The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively,

Let $\mathrm{y}\left(\mathrm{t}\right)={\mathrm{e}}^{-\pi {\mathrm{t}}^2}$ and $\mathrm{h}(\mathrm{t})$ is a filter matched to $\mathrm{y}(\mathrm{t})$. If $\mathrm{y}(\mathrm{t})$ is applied as input to $\mathrm{h}(\mathrm{t})$ then the Fourier transform of the output is: