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

A signal generator having a source resistance of 50 Ω is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is __________ μF. (Round off to 2 decimal places.)

For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is

Consider the buck-boost converter shown. Switch Q is operating at 25 kHz and 0.75 duty-cycle. Assume diode and switch to be ideal. Under the steady-state condition, the average current flowing through the inductor is __________ A.

A 3-Bus network is shown. Consider generators as ideal voltage sources. If rows 1, 2 and 3 of the Y${}_{Bus}$ matrix correspond to Bus 1, 2 and 3, respectively, then Y${}_{Bus}$ of the network is

Consider a closed-loop system as shown. $G_p(s)=\frac{14.4}{s(1+0.1s)}$ is the plant transfer function and G${}_c$ (s) = 1 is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is __________ rad / s. (Round off to 2 decimal places.)