GATE 2019: Topper Quiz 21 (App update required to attempt this test)
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Question 1
For the given circuit, determine the value of the feedback resistor, if the output voltage is - 45 V. The circuit components are given below: V1 = 2.5 V, R1 = 100 kΩ V2 = 4.2 V, R2 = 500 kΩ V3 = 3.3 V, R3 = 1 MΩ
Question 2
The equivalent circuits of a diode, during forward biased and reverse biased conditions, are shown in the figure.
If such a diode is used in clipper circuit of figure given above, the output voltage (v0) of the circuit will be
Question 3
Assuming that all flip flop are in reset condition initially, the count sequence at Q2 in the circuit shown is
Question 4
Consider the assembly language program given below 1) MVI A, 00 H 2) STC 3) CMC 4) DCR A 5) RAL 6) OUT PORT 2 7) HLT If the above program is executed in 8085 then output at PORT 2 is
Question 5
The IDMT overcurrent relay has a current setting of 170% and a time multiplier of 0. The CT ratio is 600:6.
The operating time characteristics for time multiplier is given in the table
PSM
2
3
5
6
10
14
OPERATING TIME (sec)
12
7
4.5
3.2
2.2
1.9
The actual operating time [in sec] for fault current of 6000 A is
Question 6
In the three bus system shown in figure
the series and shunt impedance of line (L1) is (3+j4)Ω and (-j5)Ω, line (L2) is (4+j5)Ω and (-j3)Ω and line (L3) is (5-j4)Ω and (-j6)Ω respectively. |Y33| is….?
Question 7
In the circuit below
the maximum value of for the SCR is
Question 8
Below figure shows a full bridge inverter, employed for sinusoidal bipolar pulse width modulation. Given below shows the sinusoidal wave as the reference and triangular wave as the carrier, and their corresponding output voltage. Which of the following pair of switches are on, when the instantaneous value of the sine reference is less than that of the triangular carrier.
Question 9
The core loss of a single phase, 230/115 V, 50 Hz power transformer is measured from 230 V sideby feeding the primary (230 V side) from a variable voltage variable frequency source whilekeeping the secondary open circuited. The core loss is measured to be 1050 W for 230 V, 50 Hzinput. The core loss is again measured to be 500 W for 138 V, 30 Hz input. The hysteresis and eddycurrent losses of the transformer for 230 V, 50 Hz input are respectively,
Question 10
A 240 V dc series motor takes 40A when giving its rated output at 1500 rpm. Its resistance is 0.3 ohms. The value of resistance which must be added to obtain rated torque at 1000 rpm is:
Question 11
The total number of oscillations of a system before it reaches to the steady state is
Question 12
If a Nyquist plot cuts the negative real axis at a distance of 0.75. Then the gain margin of the system will be?
Question 13
See whether the following system is linear, time-invariant or casual? Y[n]=X[n] X[n-5]
Question 14
For a discrete-time signal x(n), the z-transform obtained is: Determine the z-transform of x(−n).
Question 15
Consider a conducting rail 2m apart as shown in the figure below and a metal rod is sliding over it from right to left at a speed of . If the magnetic flux density through the rail is given by in the direction shown in the figure, then find the potential difference across the rod( in Volts).
Question 16
For the field D, determine the value of the integral for the region bounded by x = 0 and 2, y = 0 and 3, z = 0 and 4. Given,
Question 17
In a modified carey foster bridge at balance condition R3= 20 Ω, R4=100 Ω, L1=25m H, M = 5000. Find the unknown capacitance C3 (in µF).
Question 18
A 250V M.I. voltmeter has coil resistance of 500Ω, coil inductance 0f 1.04 H and series resistance of 2kΩ. The meter reads correctively at 250V D.C. What will be the value of capacitance to be used for shunting the series resistance to make the meter read correctly at 50HZ? What is the reading of voltmeter(in Volts) on A.C. without capacitance?
Question 19
The z-parameters of the two port network shown in the figure are The average power delivered to in watts, is________.
Question 20
In the balanced 3-phase, 50Hz, circuit shown below, the value of inductance (L) is 10mH. The value of the capacitance (C) for which all the line current are zero, in millifarads, is_______.
for the SCR is 
. If the magnetic flux density through the rail is given by 
in the direction shown in the figure, then find the potential difference 
across the rod( in Volts).
for the region bounded by x = 0 and 2, y = 0 and 3, z = 0 and 4. Given, 
The average power delivered to 
in watts, is________. 
