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

The transfer function of a system is given by,

$\frac{V_0\left(s\right)}{V_i\left(s\right)}=\frac{1-s}{1+s}$

Let the output of the system be $v_0\left(t\right)=V_m\sin \left(\omega t+\varphi \right)$ for the input, $v_i\left(t\right)=V_m\sin \left(\omega t\right)$. Then the minimum and maximum values of ϕ (in radians) are respectively

Consider the system with following input-output relation

$y\left[n\right]=\left[1+{\left(-1\right)}^n\right]x\left[n\right]$

where, x[n] is the input and y[n] is the output. The system is

A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are $V_{an}=220\sin \left(100\pi t\right)V$ and $i_a=10\sin \left(100\pi t\right)A$ respectively. Similarly, for phase-b, the instantaneous voltage and current are $V_{bn}=220\cos \left(100\pi t\right)V$ and $i_b=10\cos \left(100\pi t\right)A$ respectively.



The total instantaneous power flowing from the source to the load is

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are: Y₁₁ = -j12 pu, Y₂₂ = -j15 pu and Y₃₃ = -j7 pu.



The per unit values of the line reactances p, q and r shown in the figure are