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

A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region A is $4kV/cm$, the electric field in the region B, in $kV/cm$, is

A $50MVA,10kV,50Hz$, star-connected, unloaded three-phase alternator has a synchronous reactance of 1 p.u. and a sub-transient reactance of $0.2p.u.$ If a 3-phase short circuit occurs close to the generator terminals, the ratio of initial and final values of the sinusoidal component of the short circuit current is ________.

Consider a linear time-invariant system with transfer function

$H\left(s\right)=\frac{1}{\left(s+1\right)}$

If the input is $cos\left(t\right)$ and the steady state output is $Acos\left(t+a\right)$, then the value of A is _________.

A three-phase diode bridge rectifier is feeding a constant DC current of $100A$ to a highly inductive load. If three-phase, $415V,50Hz$ AC source is supplying to this bridge rectifier then the rms value of the current in each diode, in ampere, is _____________.

A buck-boost DC-DC converter, shown in the figure below, is used to convert $24V$ battery voltage to $36V$ DC voltage to feed a load of $72W$. It is operated at $20kHz$ with an inductor of $2mH$ and output capacitor of $1000\mu F$. All devices are considered to be ideal. The peak voltage across the solid-state switch (S), in volt, is ____________.