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

Consider g≤ft( t ) = ≤ft\{ {* {t - , t ≥ 0}\\ t - , otherwise } ., where t ϵ R.

Here, $\lfloor t\rfloor$ represents the largest integer less than or equal to t and $\lceil t\rceil$ denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is ________

Let $I=c\int \underset{R}{\int }x{y}^{2}dxdy$, where R is the region shown in the figure and c = 6 × 10⁻⁴. The value of I equals________. (Give the answer up to two decimal places.)

The power supplied by the 25 V source in the figure shown below is ________ W.

The equivalent resistance between the terminals A and B is ________ Ω.

A three-phase, 50 Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30 Ω per phase. The load angle is 30°. The power delivered to the motor in kW is _____________. (Give the answer up to one decimal place).