Electrical Engineering - EE 2017 GATE Paper MCQ Quiz - GATE MCQ

Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At t=0, the particles are released but are constrained to move along the same straight line. Which of these will collide first?

Let z (t) = x (t)* y (t) , where ‘*’  denotes convolution. Let C be a positive real-valued constant. Choose the correct expression for z (ct).

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are Y₁₁ = - _j12pu, Y₂₂ = - _j15pu and Y₃₃ = - _j7pu

The per unit values of the line reactances p, q and r shown in the figure are 

Inelastic collisions are those in which internal changes in energy take place within an atom or a molecule at the expenses of total kinetic energy of the colliding particle. Suitable example for inelastic collisions is/are

The following measurements are obtained on a single phase load: V = 220V ±1%, I = 5.0A ±1% and W = 555W ± 2%. If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is ________.

The transfer function of a system is given by  Let the output of the system be  for the input  Then the minimum and maximum 
values of  (in radians) are respectively

The matrix  has three distinct eigenvalues and one of its eigenvectors is 

Q. Which one of the following can be another eigenvector of A?

For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30^° is _______. 

A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will

 If the current changes from 5A to 3A in 2 seconds and the inductance is 10H, calculate the emf.

Consider the system with following input-output relation y [n] = (1 + (-1)ⁿ) x [n]

where, x[n] is the input and y[n] is the output. The system is 

The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time of 50 ns. In order to display correctly, a delay line of

A 3-phase voltage source inverter is supplied from a 600V DC source as shown in the figure below. For a star connected resistive load of 20Ω per phase, the load power for 120^° device conduction, in kW is __________.

A closed loop system has the characteristic equation given by s³ + Ks² + (K + ) s + 3 = 0. For this system to be stable, which one of the following conditions should be satisfied?

A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is

For the circuit shown in the figure below, assume that diodes D₁, D₂ and D3 are ideal.

The DC components of voltages v₁ and v₂, respectively are

A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.

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

In the converter circuit shown below, the switches are controlled such that the load voltage vo(t) is a 400 Hz square wave.

The RMS value of the fundamental component of vo(t) in volts is _______.

The output expression for the Karnaugh map shown below is 

A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field circuit resistances are 0.4 Ω and 0.1 Ω respectively. The load torque varies as the square of the speed. The flux in the motor may be taken as being proportional to the armature current. To reduce the speed of the motor by 50% the resistance in ohms that should be added in series with the armature is _________. 

The transfer function of the system Y(s)/U(s) whose state-space equations are given below is:

The load shown in the figure is supplied by a 400 V (line to line) 3-phase source (RYB sequence).  The load is balanced and inductive, drawing 3464 VA. When the switch S is in position N, the three watt-meters W1, W2 and W3 read 577.35 W each. If the switch is moved to position Y, the readings of the watt-meters in watts will be:

Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1.

Given V₁ = A₁ V₂ + B₁ I₁
I₁ = C₁ V₂ + D₁ I₂
V₂ = A₂ V₃ + B₂ I₃
I₂ = C₂ V₃ + D₂ I₃

A₁, B₁, C₁, D₁, A₂, B₂, C₂ and D₂ are the generalized circuit constants. If the Thevenin equivalent circuit at port 3 consists of a voltage source V_T and impedance Z_T connected in series, then