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# GATE’22 EE: Daily Practices Quiz 23-Oct-2021

## GATE 2022

Organizing Institute for GATE 2022 is the Indian Institute of Technology Kharagpur.

The GATE 2022 Exam will be held on  5, 6, 12, and 13 February 2022. Each day 2 shifts will be held for the GATE 2022 Exam. The Date and timing and center of the exam for each individual appearing in the GATE 2022 exam will be mentioned on their admit card.

## GATE’22 EE: Daily Practices Quiz

GATE’22 EE: Daily Practices Quiz 23-Oct-2021

Each question carries 2 marks
Negative marking: 2/3 mark

Total Questions: 10
Total marks: 20
Time: 20 min.

Q1. The circuit shown in the figure is in steady-state when the switch is closed at t = 0. Assuming that the inductance is ideal, the current through the inductor at t = 0^+ equals—

(a) 0A
(b) 0·5 A
(c) 1A
(d) 2A

Q2. The resistance of an ammeter having range 0–5A is 1.8 Ω. It is shunted by a resistor of
0.2 Ω. What is the effective current when the pointer reads 3 A?
(a) 10 A
(b) 30 A
(c) 15 A
(d) 20 A

Q3. An RLC series circuit has R = 10 , L = 2 H. What value of capacitance will make the circuit critically damped?
(a) 0.02 F
(b) 0.08 F
(c) 0.2 F
(d) 0.4 F

Q4. A power system has 12 buses, out of which one is slack and 3 are generator buses. What is the size of the Jacobian matrix?
(a) 17×17
(b) 18×18
(c) 19×19
(d) 12×12

Q5. In a transistor amplifier, the input resistance is 1KΩ, the collector load resistance is 2KΩ and the transistor β is 10. The voltage gain is
(a) 40
(b) 30
(c) 20
(d) 10

Q6. A three-phase bridge converter is fed from a 500 V dc source. The inverter is operated in 180⁰ conduction mode and it is supplying a purely resistive, star-connected load. The RMS value of the output(line) voltage is
(a) 235.56 V
(b) 259.80 V
(c) 408 V
(d) 540 V

Q8. A 3-phase delta connected squirrel cage induction when started with DOL starter has a starting torque of 600 Nm. Its starting torque when start-delta is used will be:
(a) 200 Nm
(b) 300 Nm
(c) 400 Nm
(d) 600 Nm

Q10. A 10-bit D/A converter gives a maximum output of 10.23 V. The resolution is
(a) 10 mV
(b) 20 mV
(c) 15 mV
(d) 25 mV

## SOLUTIONS

S1. Ans.(c)
Sol. At steady state iL (0^– )=10/10=1 A
∴iL (0^–) = iL (0^+) = 1 Amp

S2. Ans.(b)
Sol. Multiplying power of shunt, m=Rm/Rsh +1=1.8/0.2+1=10
Therefore, the range of ammeter increases 10 times. When the ammeter indicates 3 A, the circuit current = 3 ×10 = 30 A.

S3. Ans.(b)
Sol. For RLC series circuit, condition for critical damping:
(R/2L)^2=1/LC⇒R^2=4L/C
In an RLC series circuit, for critically damped:〖 R〗^2=4L/C
C=4L/R^2 =(2×4)/100=0.08 F

S4. Ans.(c)
Sol. ACQ: there are 3 generator buses and slack bus is not included in it. i.e., one slack is present apart from this.
∴ Size of Jacobian matrix=(2n-m-2)×(2n-m-2)
=(2×12-3-2)×(2×12-3-2)=19×19.

S5. Ans.(c)
Sol. Since, Av = β×Rc/Rin = 10 × 2/1 = 20

S6. Ans.(c)
Sol. in a 3-phase 180⁰ mode VSI: (V_L )_RMS=√(2/3) V_S=√(2/3) ×500=408.24 V≃408 V

S7. Ans.(a)
Sol. Reciprocal condition in Y-parameter: Y12=Y21
Here, Y12=-1/2 and Y21=1/2
So, Y12≠Y21
Hence, the given network is non-reciprocal and active networks are non-reciprocal.

S8. Ans.(a)
Sol. Using star-delta starter: Tst=1/3×(DOL)=1/3×600=200 Nm

S9. Ans.(b)
Sol. L {u (t – a)} = ∫_0^∞▒e^(-st) u(t-a)dt = e^(-as)/s

S10. Ans.(a)
Sol. Resolution = 10.23/(2^10-1)= 10 mV

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