GATE EE 2021 Question Paper (07-Feb-2021) (Shift 1)

In the figure shown, self-impedances of the two transmission lines are 1.5j p.u. each, and Z${}_m$ = 0.5j p.u. is the mutual impedance. Bus voltages shown in the figure are in p.u. Given that δ > 0, the maximum steady-state real power that can be transferred in p.u. from Bus-1 to Bus-2 is

In the circuit shown, the input Vi is a sinusoidal AC voltage having an RMS value of 230 V ± 20%. The worst-case peak-inverse voltage seen across any diode is ______V. (Round off to 2 decimal places).

A counter is constructed with three D flip-flops. The input-output pairs are named (D₀, Q₀), (D₁, Q₁), and (D₂, Q₂), where the subscript 0 denotes the least significant bit. The output sequence is desired to be the Gray-code sequence 000, 001, 011, 010, 110, 111, 101, and 100, repeating periodically. Note that the bits are listed in the Q₂ Q₁ Q₀ format. The combinational logic expression for D₁ is

In a single-phase transformer, the total iron loss is 2500 W at nominal voltage of 440 V and frequency 50 Hz. The total iron loss is 850 W at 220 V and 25 Hz. Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss respectively are

Let f(t) be an even function i.e. f(-t) = f(t) for all t. Let the Fourier transform of f(t) be defined as $F(\omega )={\int }_{-\infty }^{\infty }f(t)e^{-j\omega t}dt$. Suppose $\frac{dF(\omega )}{d\omega }=-\omega F(\omega )$ for all ω, and F(0) = 1. Then