GATE IN 2021 Question Paper (06-Feb-2021) (Shift 1)

f(z) = (z − 1)⁻¹ − 1 + (z − 1) − (z − 1)² + ⋯ is the series expansion of

A single-phase transformer has maximum efficiency of 98 %. The core losses are 80 W and the equivalent winding resistance as seen from the primary side is 0.5 Ω. The rated current on the primary side is 25 A. The percentage of the rated input current at which the maximum efficiency occurs is

A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor circuit in comparison to the rotor being shorted is

Consider a unity feedback configuration with a plant and a PID controller as shown in the figure. $G(s)=\frac{1}{(s+1)(s+3)}$ and $C(s)=K\frac{(s+3-j)(s+3+j)}{s}$ with K being scaler. the closed loop is

The output Vo of the ideal OpAmp used in the circuit shown below is 5 V. Then the value of resistor RL in (kΩ) ?