GATE EE 2017 question paper — Paper 1

The matrix has three distinct eigenvalues and one of its eigenvectors is . Which one of the following can be another eigenvector of ?

For a complex number , is

Let , where “ ” denotes convolution. Let be a positive real-valued constant. Choose the correct expression for .

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 fie…

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 el…

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

Consider the system with following input-output relation where, is the input and is the output. The system is

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 th…

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are V and A, respec…

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are: pu, pu and pu. The per unit values of the line reactances , and shown…

A closed loop system has the characteristic equation given by . For this system to be stable, which one of the following conditions should be satisfied?

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 …