GATE Electrical Engineering Online Test 2, GATE EE Online Test 2024

When two wattmeters W₁ and W₂ are used to measure power input to a synchronous motor, each of them indicates 60 kW. If the power factor is to be changed to 0.866 leading, keeping the total input power same, the reading of W₁and W₂ are respectively

Consider a circuit shown in figure. The circuit functions as

For a 50 MVA, 11 kV, three-phase synchronous generator, it is given that three-phase fault current is 2000 A and line to line fault current is 2600 A. The generator neutral is solidly grounded. The per unit value of negative sequence reactance of the generator is

A DT system has the following input-output relationship:

Consider the following properties:
P₁: System is linear.
P₂: System is causal.
P₃: System is invertible.
Which of the above properties is/are possessed by the system?

A 10 kW, 250 V shunt generator, having an armature resistance of 0.1 Ω and a field resistance of 250 Ω, delivers full-load at rated voltage and 800 rpm. The machine is now run as a motor while taking 10 kW at 250 V. What is the speed of the motor?

The AC bridge shown in the figure is used to measure an unknown inductance connected in CD arm. The bridge can be balanced by

A bipolar amplifier circuit shown below, exhibits the following characteristics:

An electron with velocity V = (3u_x + 12u_y − 4u_z) x 105 m/s experiences no net forces at a point in a magnetic field B = u_x + 2u_y + 3u_z nWb/m². The electric field E at that point is

Consider the following 8085 instruction:

The contents of register A and B are respectively

A single-phase full bridge voltage source inverter feeds a load as shown in figure. If the load current is I0 = 540 sin ( ωt− 45°), and the V (dc )= 300. The power delivered to the load is

In the circuit shown below, the transistor parameters are V_TN = 1.7 V and K_n = 0.4 mA/V².

If I_D = 0.8 mA and V_D = 1V, the value of resistor R_S and R_D are respectively

Let Q1 = 4 µ C be located at P₁ (3, 11, 8) while Q₂ = − 5 µ C is at P₂ (6, 15, 8). The force F₂ on Q₂ will be

A numerical solution of the equation  can be obtained using Newton – Raphson method. If the starting value is x = 2 for the iteration, the value of x that is to be used in the next step is

In the Taylor series, in the expansion of exp (x) + sin (x) about the point x = π, the coefficient of (x − π)² is

A 50 kW, 440 V, 50 Hz, 6-pole induction motor has a full load slip of 6%. The friction and windage losses are 300 W, and the core losses are 600 W at full load conditions. What is the shaft speed at full load?

A 50 kW, 440 V, 50 Hz, 6-pole induction motor has a full load slip of 6%. The friction and windage losses are 300 W, and the core losses are 600 W at full-load conditions.

What is the value of load torque?

The open-loop transfer function of a feedback control system is 

Regarding the system, consider the statements:
1. Open-loop system is stable.
2. Closed-loop system is unstable.
3. One closed-loop poles is lying on the RHP
The correct statements are

For the chopper circuit shown in the figure, duty cycle is 0.4. The voltage drop across the chopper during ON state is 2 volt.

The average and rms output voltages are respectively

For the chopper circuit shown in the figure, duty cycle is 0.4. The voltage drop across the chopper during ON state is 2 volt.

What is the efficiency of the chopper?

A two bus power system is shown in the figure. Incremental fuel costs of the two generators are given as:
IC₁ = (0.35P_G1 + 41) Rs./MWhr
IC₂ = (0.35P_G2 + 41) Rs./MWhr
The loss expression is
P_L = 0.001 (P_G2 − 70)² MW

The total incremental cost of the system is 117.6 Rs./MWhr.
The optimal scheduling for generators are given as

A two bus power system is shown in the figure. Incremental fuel costs of the two generators are given as (upto two decimal places):

IC₁ = (0.35P_G1 + 41) Rs./MWhr
IC₂ = (0.35P_G2 + 41) Rs./MWhr
The loss expression is
P_L = 0.001 (P_G2 − 70)² MW

The total incremental cost of the system is 117.6 Rs./MWhr.
The power loss will be

Which one of the following is the antonym of the word PROFESSIONAL?

Which one of the following is the synonym of the word DISPARAGE?

One of the four words given in the four options does not fit the set of words. The odd word from the group is

The relation between pair of CAPITALISED words shown below is expressed by one of the given four pairs of words. The pair of words which best expresses the relationship similar to that expressed in the capitalised pair is

ATMOSPHERE : STRATOSPHERE