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

Three single-phase transformers are connected to form a delta-star three-phase transformer of $110kV/11kV$. The transformer supplies at $11kV$ a load of $8MW$ at $0.8p.f.$ lagging to a nearby plant. Neglect the transformer losses. The ratio of phase currents in delta side to star side is

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function

$G\left(s\right)=\frac{Ks}{\left(s-1\right)\left(s-4\right)}$ is

Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedances of $j0.4p.u.,j0.3p.u.andj0.15p.u.$, respectively. If the pre-fault voltage is $1p.u.$, for a line-to-ground (L-G) fault at the terminals of the generators, the fault current, in p.u., is ___________.

An energy meter, having meter constant of $1200revolutions/kWh$, makes 20 revolutions in 30 seconds for a constant load. The load, in $kW$, is _____________.

A rotating conductor of 1m length is placed in a radially outward (about the z-axis) magnetic flux density (B) of 1 Tesla as shown in the figure below. The conductor is parallel to and at 1m distance from the z-axis. The speed of the conductor in r.p.m. required to induce a voltage of 1V across it, should be __________.