GATE Electrical Engineering Online Test Series 1, GATE EC online Test

Consider a LTI discrete time system as shown in the figure below:

If input x[n] is a periodic sequence with period N, which of the following statements regarding output y[n] in true?

In the circuit shown below, what is the value of current i?

In synchronous motor, minimum armature current corresponds to

A 3-phase, 10,000 kVA, 11 kV alternator has a subtransient reactance of 8%. A 3-phase short-circuit occurs at its terminals. The fault MVA and fault current are

Following table gives the set of 10 measurements that were recorded by a student working on an experiment in the laboratory.

The precision of the 6th measurement is

A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-S number is represented by its corresponding 3-bit binary code. For example, the base-S number 24 will be represented by its BCP code 010100. To which of the following numbers in base-S system does the BCP code 100010011001 correspond to?

A three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value of the output (line) voltage is

In pumped storage scheme, the generator is also used as

In the circuit shown in the figure (a), if current I1 = 2.5 A, the current I2 and I3 in the figures (b) and (c) respectively are

Consider an ideal transformer as shown in the figure. Which of the following statements is true?

The starting torque of a 3-  induction motor can be increased by increasing the

A PMMC instrument with a 100 turn coil has magnetic flux density in its air gaps of B = 0.2 T. The coil diameter is D = 1 cm and length is l = 1.5 cm. For a current of 1 mA, the torque on the coil will be

The forward transfer function of a unity feedback system is

The system is stable for

The positive sequence bus impedance matrix of a 4-Bus power system network is given below:

If a symmetrical fault occurs on Bus-2, the positive sequence component of fault current is

A four pole generator, having wave wound armature winding, has 55 slots. Each slot contains 19 conductors. What will be the voltage generated in the machine when driven at 1500 rpm, assuming the flux per pole is 3.0 mWb?

The figures show two different sets of input and output variables for the same two-port resistive network N. Value of I₀ is

A 220 V D.C. shunt motor runs at 500 rpm when the armature current is 50 A.

The armature resistance of the motor is 0.2 Ω . If the torque is doubled, the speed of the motor will be

When torque is doubled, armature current drawn by the motor will also be doubled because

An ac voltmeter using half-wave rectifier circuit is used to measure a 10 V rms ac voltage as shown in the figure. The PMMC instrument has an internal resistance of 100 Ω and full-scale deflection at 1 mA. What is the required value of series resistance?

The phenomena of crawling in a 3 −  cage rotor induction motor may be due to

A three-phase, 33 kV line feeds a per-phase load of 10 MW. If the impedance of the line is Z = j20 Ω , the value of load angle (in degrees) to maintain a line voltage of 33 kV at the load is

In a series generator, the field resistance is 650 Ω and the load resistance is 800 Ω . Which of the following statements is true?

A three-phase motor draws 20 kVA at 0.707 power-factor lagging from a 220 V source. The rating of capacitor bank to make the combined power factor 0.90 lagging is

For the given circuit shown in the figure, the power absorbed in R Ω resistor due to voltage source only is 24 W and that due to current source only is 216 W. The total power absorbed in the resistor due to both the sources is

A process with open-loop model  is controlled by a PID controller. For this purpose,
(P) the derivative mode improves transient performance
(Q) the derivative mode improves steady state performance
(R) the integral mode improves transient performance
(S) the integral mode improves steady state performance
The correct statements are