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GATE 2020 || Revision Test 7 (App update required to attempt this test)

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Question 1

The time constant for the given circuit will be(in sec)

Question 2

The corner frequencies of the transfer function given below are

Question 3

A 200/400 V, 50 Hz, two-winding transformer is rated at 20 kVA. Its windings are connected as an auto-transformer of rating 200/600 V. A resistive load of 12 Ω is connected to the high voltage (600 V) side of the auto-transformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _____.

Question 4

If the value of junction capacitance of a SCR is 20pF and it is independent of the off-state voltage and also, the gate-trigger current is 20mA. Now, if a capacitor of 15nF is connected across the SCR, then determine the critical value of dv/dt.

Question 5

In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is

.If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.

Question 6

The OP-AMP circuit shown below, what is the value of ‘R’ if I_L/I_I = 40

Question 7

An LPF wattmeter of power factor 0.2 is having three voltage settings 300 V, 150 V and 75 V, and two current settings 5 A and 10 A. The full scale reading is 150. If the wattmeter is used with 150 V voltage setting and 10 A current setting, the multiplying factor of the wattmeter is _________.

Question 8

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

Question 9

The admittance locus of the circuit shown in figure is

Question 10

Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedance of j 0.4 p.u. j0.3, p.u. and j0.15 p.u., respectively.
If the pre-fault voltage is 1 p.u., for a line-to-ground (L-G) fault at the terminals of the generators, the fault current, in p.u., is _______.

Question 11

Consider the system described by the following difference equation:

Y[n] = αx[n] + βx[n–1] – y[n–2]

Assume that the system starts at rest and that the input x[n] is the unit step signal u[n]

Find y [119] = ?

Question 12

A separately excited DC motor runs at 1000 rpm on no load when its armature terminals are connected to a 200V DC source and the rated voltage is applied to the field winding. The armature resistance of this motor is 1 Ω. The no-load armature current is negligible. With the motor developing its full load torque, the armature voltage is set so that the rotor speed is 500 rpm. When the load torque is reduced to 50% of the full load value under the same armature voltage conditions, the speed rises to 520 rpm. Neglecting the rotational losses, the full load armature current (in Ampere) is _______.

Question 13

The system described by the following equation is:

Question 14

A single phase full bridge inverter is operated using SPWM technique. It is supplied by a dc source of 150V giving output fundamental rms voltage of 100V. Find the pulse width required.

Question 15

A 1000/5 A, 50 Hz current transformer has a secondary burden comprising an inductive impedance of 1.6 ohm. The primary winding has one turn. Calculate the flux in the core and ratio error (in %) at full load. Neglect leakage reactance and assume iron loss in core to be 1.5 W, at full load the magnetizing is 100A.

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ESE & GATE EE General

Jul 2ESE & GATE EE