GATE EE 2016 Question Paper (07-Feb-2016) (Shift 2)

The output expression for the Karnaugh map shown below is

The circuit shown below is an example of a

The following figure shows the connection of an ideal transformer with primary to secondary turns ratio of 1:100. The applied primary voltage is 100 V (rms), 50 Hz, AC. The rms value of the current , in ampere, is __________.

Consider a causal LTI system characterized by differential equation $\frac{dy\left(t\right)}{dt}+\frac{1}{6}y\left(t\right)=3x\left(t\right)$. The response of the system to the input $x\left(t\right)=3e^{-\frac{t}{3}u\left(t\right)}$. Where u(t) denotes the unit step function is

Suppose the maximum frequency in a band-limited signal $x\left(t\right)$ is $5kHz$. Then, the maximum frequency in $x\left(t\right)cos\left(2000\pi t\right)$, in $kHz$, is ________.