GATE 2020: Toppers Quiz 22 (App update required to attempt this test) for ESE & GATE EE Exams

Question 1

Consider the following figure shown below.

Since

A) If K>0, steady state stability is maintained.
B) If K=0, limiting stage of steady state stability is attained.
C) If K<0, instability occurs.
Which of the following option is/are correct?

Question 2

The maximum power that can be dissipated in the load of the circuit is-

Question 3

The out put voltage V₀ (in Volt) in the circuit is

Question 4

Two

voltmeter have figure of merits 10 kW/V, 20 kW/V, connected in series. Then this combination measures a maximum DC voltage of _______ V.

Question 5

If torque exerted on the rotor by rotating flux in an induction motor is Ʈ_d then, what is the relationship between the powers of different section in an induction motor?

Question 6

Consider an impulse voltage

be applied in an RLC circuit at t=0. The values of the resistor, inductor and the capacitor are 6 ohm, 1 H and 0.2 F. Assuming zero initial condition what will be the current i(t)?

Question 7

Calculate electric field at a point N (4, -3, and 2) in free space caused by a charge

3 μc at

Question 8

Two 3 phase alternators of 50MW capacity each operate in parallel, the settings of governors are such that rise in speed from full load to no load is 2% in one machine and 3% in other machine. If each machine is fully loaded at rated frequency of 50Hz when total load is 100MW. What would be load on each machine when total load is 60MW?

Question 9

A 3-

50 Hz transmission line is delivering a load of 35 MW at 132 kV. Consider nominal r-network.
Date are :
Impedance Z= (10+j30) Ohm
admittance Y = j0.282 x 10^-3 Siemens
charging current = 22.2 Ampore
Determine total losses in the line

Question 10

In the circuit shown below express the current I₀ in terms of V_i

Question 11

In the network shown, the measurements obtained are given in table below. What is the current when V₁ = 10 V and V₂ = 5V?

Question 12

A DC motor has an armature resistance of 0.5 ohm and K

of 3Vs. The motor is driven by a single phase thyristorised full converter. The input to the converter is an AC source of 230V 50Hz. The motor is used as a prime mover of a Forklift. In the upward direction, the mechanical load is 69 Nm and the triggering angle is

= 15 °. In the downward direction, the load torque is 180 Nm. Calculate the triggering angle required to keep the downward speed equal in magnitude to upward speed. Assume continuous motor current for all operations.

Question 13

A coil having quality (Q) factor 10 is connected in series with capacitor C₁=10 µF. The combination draw maximum current when frequency of sinusoidal is 50 Hz . A capacitor C₂ is connected in parallel with the whole combination what should be the value of capacitor C₂ so that the circuit exhibit resonance at frequency of 100 Hz.

Question 14

Find the most economic current density [in Amp/cm²] of conductor to transmit a loading of 4000 kVA over a

line operated at 66 kV. Capital cost of conductor per km is 30000 a, where a is cross sectional area of conductor in cm². Cost of energy waste is 10 paise/kwh interest and depreciation on capital cost is 12%. Resistance per km of a conductor of 1 cm² cross section is 0.183.

Question 15

Consider a given op-amp circuit as shown in figure below:

The op-amp is ideal. The impedance parameter Z₂₁ is __________KΩ.

Question 16

A 40 kVA, 1000 V/100 V, two winding transformer is to be used as a step up transformer with source voltage of 1000 V. At 0.8 pf lagging, the efficiency of two winding transformer at full load is 98 %. Calculate the efficiency of auto transformer at same pf at full load ?

Question 17

A three-phase cable is supplying 800kW and 600kVAr to an inductive load, it is intended to supply an additional resistive load of 100kW through the same cable without increasing the heat dissipation in the cable, by providing a three-phase bank of capacitors connected in star across the load. Given the line voltage is 3.3kV, 50Hz, the capacitance per phase of the bank, expressed in microfarads, is----------------

Question 18

In the given network, after a time equal to the time constant of the circuit, if the voltage across the capacitor is 15.8 V, find the value of V.

Question 19

The bode plot corresponding to a proportional derivative controller is the one shown in given figure

Question 20

Find the system’s response to the input x[n] =

if the unit impulse response h[n] of a DT LTI system is h[n]= δ[n+2]+δ[n+1]+δ[n]+δ[n-1].|?

Question 21

Consider the figure shown below.

A) High value of SCR has a better voltage regulation and very poor steady state stability limit and no other problem is incorporated.
B) A low value of SCR is less stable.
C) A low value of SCR has small armature current under short circuit.
D) High value of SCR has high value of short circuit fault current in armature.
Which of the following option is not correct?

Question 22

The coils of a wattmeter have resistances 0.01 Ω and 1000 Ω; their inductance may be neglected. The wattmeter is connected as shown in the figure, to measure the power consumed by a load, which draws 25 A at power factor 0.8. The voltage across the load terminals is 30 V. The percentage error on the wattmeter reading is _________.

Question 23

For the given system, it is desired that the system to be stable. The minimum value of α for this condition is ________.

Question 24

A dual slope analog-to-digital converter uses an N-bit counter. When the input signal V_a is being integrated, the counter is allowed to count up to a value

Question 25

The coil of a PMMC instrument has 60 turns, on a former that is 18 mm wide, the effective length of the conductor being 25 mm. It moves in a uniform field of flux density 0.5 Tesla. The control spring constant is 1.5 × 10^-6 Nm/degree. Calculate the current required to produce a deflection of 100 degree?