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GATE EC Networks : National Champion Test

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Question 1

The condition on R, L and C such that the step response y(t) in figure has no oscillations, is

Question 2

An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier

Question 3

Le the signal f(t) = 0 outside the interval T₁, T₂ where T₁ and T₂ are finite. Furthermore, $Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image010.png$ . The region of convergence (ROC) of the signal’s bilateral Laplace transform F(s) is
1. A parallel strip containing the jΩ axis
2. A parallel strip not containing the jΩ axis
3. The entire s-plane
4. A half plane containing the jΩ axis

Question 4

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 5

The thevenin’s equivalent of a circuit operating at w = 5 rad/s, has V_µ = 3.71 ∠−15.9° V and Z₀ = 2.38 – j 0.667 Ω. At this frequency, the minimal realization of the Thevenin’s impedance will have a

Question 6

For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z₁ of the first section to the input impedance Z₂ of the second section is

Question 7

then the initial and final values of f(t) are respectively

Question 8

The minimum number of equations required to analyze the circuit shown in below is

Question 9

In the circuit shown in the figure, the value of capacitor C (in mF) needed to have critically damped response i(t) is ________.

Question 10

In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ________.
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image032.jpg$

Question 11

A continuous time LTI system is described by

Assuming zero initial conditions, the response y(t) of the above system for the input x(t)=e^–2tu(t) is given by

Question 12

In what range should Re(s) remain so that the laplace transform of the function e^(a+2)t+5 exists.

Question 13

The circuit shows a current source where mesh current containing current source is equal to current of current source i.e. I₂ = I_s .

The value of current I₁ will be:

Question 14

In the given circuit, the maximum power (in Watts) that can be transferred to the load R_L is ________.
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image166.jpg$

Question 15

In the circuit shown, what value of RL the maximum power is delivered to R_L?

Question 16

Find the Thévenin equivalent against 7k ohm resistor in circuit shown?

Question 17

In the AC network shown in the figure, the phasor voltage V_AB (in Volts) is:

Question 18

In the circuit shown, V_C is 0 volts at t = 0 sec. For t > 0, the capacitor current i_c(t), where t in seconds, is given by

Question 19

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage V_WX1 100 V is applied across WX to get an open circuit voltage V_YZ1 across YZ. Next, an ac voltage V_YZ2 = 100 V is applied across YZ to get an open circuit voltage V_YZ2 across WX. Then

are respectively

Question 20

Two magnetically uncoupled inductive coils have Q factors q₁ and q₂ at the chosen operating frequency. Their respective resistances are R₁ and R₂. When connected in series, their effective Q factor at the same operating frequency is

Question 21

An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

Question 22

The driving point impedance of the following network

is given by

. The component values are

Question 23

The ABCD parameters of the following 2-port network are
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image114.png$

Question 24

The derivative of the symmetric function drawn in figure will look like

Question 25

For the circuit shown in Figure, the initial conditions are zero. Its transfer function $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image129.png$ is

2020-02-14.png (1211×599)

Question 26

Let x (t) = a s (t) + s (–t) with s (t) = βe^–4t u (t), where u (t) is unit step function. If the bilateral Laplace transform of x (t) is
$Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image270.png$
Then the value of β is _________

Question 27

Three capacitors C₁ C₂ and C₃ whose values are 10 µF. 5 µF. and 2 µF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across the combination, and the corresponding total charge
in µC stored in the effective capacitance across the terminals are respectively,

Question 28

An AC source of RMS voltage 20 V with internal impedance Z_y = (1+2j) Ω feeds a load of impedance Z_L = (7 + 4j) Ω is the figure below. The reactive power consumed by the load is

Question 29

In the following figure, the Thevenin's equivalent pair (voltage, impedance), as seen at theterminals P-Q, is given by

Question 30

For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image094.jpg$

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ESE & GATE EC Network Theory

Jun 15ESE & GATE EC