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GATE Electrical Engineering Test 1 Online Questions Answers

Test Name GATE Electrical Engineering Test
Subject GATE
Test Type MCQs
Total Question 40
Total Marks 80
Total Time 40 Minutes
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Electrical Engineering is a very popular field in the GATE exam. Looking at the high level of competition, GATE preparation gets tougher. It is important thus, that you refer the best GATE preparation for Electrical Engineering (EE). Electrical engineering basically deals with application of electricity, electronics and magnetism. Practical applicability of power, control, and even microelectronics is involved in this particular field of study. These Electrical engineering GATE test will helpful for all subjects and topics for preparation.

GATE Electrical Engineering Test 1 Online



1. The flux density at a point in space is given by B = 4xax + 2kyay + 8az Wb/m². The value of constant k must be equal to


Question 1 of 40

2. For a power system network with n nodes, Z₃₃ of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is 1.3 <–10° per unit. If a capacitor having reactance of – j3.5 per unit is now added to the network between node 3 and the reference node, the current drawn by the capacitor per unit is

Question 2 of 40

3. In the circuit shown below the op-amps are ideal. Then Vout in Volts is


Question 3 of 40

4. In the circuit shown below, Q has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If Vcc is + 5V, X and Y are digital signals with 0V as logic 0 and Vcc as logic 1, then the Boolean expression for Z is


Question 4 of 40

5. For a periodic signal v(t) = 30 sin 100t + 10 cos 300t + 6 sin (500t + π/4), the fundamental frequency in rad/s is


Question 5 of 40

6. The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is


Question 6 of 40

7. A continuous random variable X has a probability density function f(x) = ex, 0 < x < . Then P{X > 1} is


Question 7 of 40

8. The signal flow graph for a system is given below. The transfer function Y(s)/U(s) for this system is


Question 8 of 40

9. A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

Question 9 of 40

10. Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is


Question 10 of 40

11. A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of E = 6ax + 8 ay kV/mm. The relative permittivity of the dielectric material is equal to 2. The value of constant ε₀ is 8.85 x 10⁻¹² F/m. the energy stored in the dielectric in Joules is energy stored in the dielectric in Joules is

Question 11 of 40

12. A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles


Question 12 of 40

13. 2.1

Question 13 of 40

14. The clock frequency applied to the digital circuit shown in the figure below is 1 kHz. If the initial state of the output Q of the flip-flop is ‘0’, then the frequency of the output waveform Q in kHz is


Question 14 of 40

15. In the circuit shown below what is the output voltage (Vout) in Volts if a silicon transistor Q and an ideal op-amp are used?


Question 15 of 40

16. The impulse response of a system is h(t) = tu(t). For an input u(t – 1), the output is

Question 16 of 40

17. Two systems with impulse responses h(t) and h(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

Question 17 of 40

18. Given a vector field F = y²xaxyzayx²az, the line integral F · dI evaluated along a segment on the x-axis from x = 1 to x = 2 is


Question 18 of 40

19. The angle δ in the swing equation of a synchronous generator is the


Question 19 of 40

20. Which one of the following statements is NOTY TRUE for a continuous time causal and stable LTI system?

Question 20 of 40

21. The PEAK-TO-PEAK source current ripple in Amps is


Question 21 of 40

22. A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is 10 < – 150° A and if the voltage at the load terminals is 100 < 60° V, then the


Question 22 of 40

23. In the feedback network shown below, if the feedback factor k is increased, then the



Question 23 of 40

24. A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50 Hz source, is rotating at 1440 rpm. The electrical frequency in Hz of the induced negative sequence current in the rotor is

Question 24 of 40

25. The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage VWZ1 = 100V is applied across WX to get an open circuit voltage VYZ1 across YZ. Next, an ac voltage VYZ2 = 100V is applied across WX. Then. VYZ1/VWX1, VWX2/VYZ2 are respectively,


Question 25 of 40

26. A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at

Question 26 of 40

27. The separately excited dc motor in the figure below has a rated armature current of 20 A and a rated armature voltage of 150 V. An ideal chopper switching at 5 kHz is used to control the armature voltage. If La = 0.1 mH, Ra = 1Ω, neglecting armature reaction, the duty ratio of the chopper to obtain 50% of the rated torque at the rated speed and the rated field current is


Question 27 of 40

28. When the Newton-Raphson method is applied to solve the equation f(x) = x³ + 2 x – 1 = 0, the solution at the end of the first iteration with the initial guess value as x = 1.2 is

Question 28 of 40

29. A function y = 5x² + 10x is defined over an open interval x = (1, 2). At least at one point in this interval, dy/dx is exactly

Question 29 of 40

30. Two magnetically uncoupled inductive coils have Q factors q and q at the chosen operating frequency. Their respective resistances are R and R. When connected in series, their effective Q factor at the same operating frequency is


Question 30 of 40

31. Leakage flux in an induction motor is


Question 31 of 40

32. A source vs(t) = V cos100πt has as internal impedance of (4 + j3)Ω. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be

Question 32 of 40

33. Three moving iron type voltmeters are connected as shown below. Voltmeter readings are V, V and V, as indicated. The correct relation among the voltmeter readings is


Question 33 of 40

34. Square roots of –i, where i = –1, are


Question 34 of 40

35. The impulse response of a continuous time system is given by h(t) = δ (t – 1) + δ(t – 3). The value of the step response at t = 2 is

Question 35 of 40

36. The curl of the gradient of the scalar field defined by V = 2x²y + 3y²z + 4z²x is


Question 36 of 40

37. Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of


Question 37 of 40

38. Thyristor T in the figure below is initially off and is triggered with a single pulse of width 10μs. It is given that L = (100/π) μF. Assuming latching and holding currents of the Thyristor are both zero and the initial charge on C is zero, T conducts for


Question 38 of 40

39. The transfer function V(s)/V(s) of the circuit shown below is


Question 39 of 40


40. The Bode plot of a transfer function G(s) is shown in the figure below.



The gain (20 log|G(s)|) is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G(s) is

Question 40 of 40


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