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GATE 2019: Topper Quiz 17 (App update required to attempt this test)

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Question 1

In the circuit shown below, the knee current of the ideal Zener diode is 10 mA. To maintain 5 V across RL, the minimum value of R_L in

and the minimum power rating of the Zener diode in mW respectively are

Question 2

Consider the circuit shown in figure. If the β of the transistor is 30 and ICBO is 20 nA and the input voltage is +5V, then transistor would be operating in

Question 3

For a transfer function G(jω)H(jω), the gain margin is 28 db and the phase margin is 76 °. Find the value of

and

at the phase cross-over frequency.

Question 4

Consider the feedback control system shown below which is subjected to a unit step input. The system is stable and has the following parameters k_P = 4, k_i = 10, ω = 500 and ξ = 0.7.

The steady state value of z is

Question 5

In the 4 × 1 multiplexer, the output F is given by F = A⊕B. Find the required input ‘I₃I₂I₁I₀’.

Question 6

The output expression for the Karnaugh map shown below is

Question 7

A long-shunt compound generator has a shunt field, series field, and armature resistance of 220 Ω, 0.06 Ω, and 0.02 Ω respectively. If the voltage generated in the armature winding is 557 V, determine the load current delivered by the generator at 550 V. Assume 1 V voltage drop per brush.

Question 8

A star connected synchronous motor at 100 kVA, 3-φ, 1400V, 23A, 60Hz, 126.5 rpm has an effective resistance of 0.5 ohm and a synchronous reactance of 10 ohm per phase. Determine internal power developed [in kW] by the motor when it is operating at rated current and 0.5 power factor leading.

Question 9

Two equal point charges separated by a distance of

experiences a repulsive force of 1.4 MN. Find the value of point charge.

Question 10

Which of the following Maxwell equation shows that magnetic flux is always found in closed loops?

Question 11

A periodic waveform observed across a load is represented by

The measured value, using moving iron voltmeter connected across the load, is

Question 12

The load shown in the figure is supplied by a 400 V (line to line) 3-phase source (RYB sequence). The load is balanced and inductive, drawing 3464 VA . When the switch S is in position N, the three watt-metersW₁, W₂and W₃ read 577.35 W each. If the switch is moved to position Y, the readings of the watt-meters in watts will be:

Question 13

In the circuit shown below, power dissipated in 10 Ω resistor is _______ W.

Question 14

Determine the value of resistances

in the given network,

if the mesh-resistance matrix for the network is:

Question 15

For the circuit shown in the figure below, assume that diodes D₁, D₂ and D₃ are ideal.

The DC components of voltages v₁ and v₂, respectively are

Question 16

The input voltage V_DC of the buck-boost converter shown below varies from 32 V to 72 V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio D of the converter for which the magnitude of the steady state output voltage remains constant at 48 V is

Question 17

The fuel characteristics of two generators are as given below
F₁ = 0.01P₁² + 10 Rs/hr
F₂ = 0.05P₂² + 12 Rs/hr
What will be savings (in Rs/hr) by economical load scheduling over equal distribution of total load 110MW if Cost in equal load distribution, F = 203.5 Rs/hr ?

Question 18

Given below is information related to installed capacity and generation of electricity in India for a specific year:

The closest integral value of capacity utilization for the entire country in the year under consideration is ____________ %.
[Capacity utilization is the ratio of Electricity generated per hour and Installed capacity. Assume that all plants work 365 days a year for 24 hours per day].

Question 19

Consider

otherwise, where t ∈R, here

represents the largest integer less than or equal to t and

denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.

Question 20

The given signal is the sum of two-real exponentials:

What will be the region of convergence (ROC) in this case?

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ESE & GATE EE General

Feb 13ESE & GATE EE