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GATE EE 2019: Revision Test-2 (App update required to attempt this test)

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Question 1

Consider the following statements regarding complete incidence matrix
1) The sum of all entries in any column is zero.
2) The determinant of incidence matrix of a closed loop is non zero.
3) The rank of incidence matrix of a connected graph is n where n is the number of nodes in the graph.
Which of the following statements are true?

Question 2

If is the Fourier transform of a signal shown in fig., then equals to …………… 
[Write the answer upto two decimal point]

Question 3

If is the Fourier transform of and is the Fourier transform of and then in terms of is

Question 4

Find the inverse Laplace transform of given function ?

Question 5

Two identical coils each having inductance L are placed together on the same core. If an overall inductance of αL is obtained by interconnecting these coils, the minimum value of α is ____________.

Question 6

In the circuit shown below the value of is

Question 7

The admittance locus of the circuit shown in figure is

Question 8

Find circuit element by using following equations:

Question 9

Transfer function of a circuit is given by

the corner frequencies (in ascending order) of the corresponding bode plot respectively.

Question 10

The open loop transfer function of a control system with negative feedback is given by

Which of the following is true about break away point of the system?

Question 11

For the transfer function

The values of the constant gain term and the highest corner frequency of the Bode plot respectively are

Question 12

The load shown in the figure absorbs 4 kW at a power factor of 0.89 lagging.

Assuming the transformer to be ideal, the value of the reactance X to improve the input power factor to unity is _________.

Question 13

A single-phase 400V, 50Hz transformer has an iron loss of 5000W at the rated condition. When operated at 200V, 25Hz, the iron loss is 2000W. When operated at 416V, 52Hz, the value of the hysteresis loss divided by the eddy current loss is

Question 14

A three-phase, 50Hz salient-pole synchronous motor has a per-phase direct-axis reactance (Xd ) of 0.8pu and a per-phase quadrature-axis reactance (Xq) of 0.6pu. Resistance of the machine is negligible. It is drawing full-load current at 0.8pf (leading). When the terminal voltage is 1pu, per-phase induced voltage, in pu, is

Question 15

The emf induced in a conductor of machine driven at 600 rpm, the peak value of flux density is 1 Wb/m2, diameter of machine 2 m and length of machine 0.3 m is ______ V.
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Nov 7ESE & GATE EE