GATE EE 2011 Question Paper (13-Feb-2011) (Shift 2)

The response h(t) of a linear time invariant system to an impulse δ (t) , under initially relaxed condition is h(t) = e${}^{-t}$ + e${}^{-2t}$ . The response of this system for a unit step input u(t) is

The direct axis and quadrature axis reactance of a salient pole alternator are 1.2 p.u and 1.0 p.u respectively. The armature resistance is negligible. If the alternator is delivering rated kVA at upf and at rated voltage then its power angle is

A $4\frac{1}{2}$ digit DMM has the error specification as 0.2% of reading +10 counts. If a d.c. voltage of 100 V is read on its 200 V full-scale, the maximum error that can be expected in the reading is

A three – bus network is shown in the figure below indicating the p.u. impedance of each element.



The bus admittance matrix, Y-bus, of the network is

With K as a constant, the possible solution for the first order differential equation $\frac{dy}{dx}=e^{-3x}$ is