GATE EE 2017 Question Paper (11-Feb-2017) (Shift 1)

Let the signal $x\left(t\right)=\sum _{k=-\infty }^{+\infty }{\left(-1\right)}^k\delta \left(t-\frac{k}{2000}\right)$ be passed through an LTI system with frequency response H(ω), as given in the figure below.



The Fourier series coefficients of the output is given as

In the system whose signal flow graph is shown in the figure, U ₁(s) and U ₂(s) are inputs. The transfer function $\frac{Y\left(s\right)}{U_1\left(s\right)}$ is

The transfer function of the system $\frac{Y\left(s\right)}{U\left(s\right)}$ whose state-space equations are given below is:

≤ft[ {*20c {x_1≤ft( t )}\\ {x_2≤ft( t )} } ] = ≤ft[ {*20c 1&2\\ 2&0 } ]≤ft[ {*20c x_1≤ft( t )\\ x_2≤ft( t ) } ] + ≤ft[ {*20c 1\\ 2 } ]u≤ft( t )

y≤ft( t ) = ≤ft[ {*20c 1&0 } ]≤ft[ {*20c x_1≤ft( t )\\ x_2≤ft( t ) } ]

The load shown in the figure is supplied by a 400 V (line-to-line), 3-phase source (RYB sequence). The load is balanced and inductive, drawing 3464 VA. When the switch S is in position N, the three wattmeters W₁, W₂ and W₃ read 577.35 W each. If the switch is moved to position Y, the readings of the wattmeters in watts will be:

The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be