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GATE’22 EE: Daily Practices Quiz 15-Sep-2021

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GATE’22 EE: Daily Practices Quiz

GATE’22 EE: Daily Practices Quiz 15-Sep-2021

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

Total Questions: 05
Total marks: 10
Time: 12 min.

GATE 2022, GATE 2022. GATE ELECTRICAL, |_40.1

Q2. A second-order control system exhibits 100% overshoot its damping coefficient is-
(a) less than 1
(b) greater than 1
(c) equal to 1
(d) equal to 0

Q3. When two amplifier each of bandwidth f_H=10 KHz are cascaded, the overall bandwidth becomes (in KHz)
(a) 10
(b) 6.4
(c) 5
(d) 20

Q4. A series resonant circuit is tuned to 10 MHz and provides 3-dB bandwidth of 100 kHz. The quality factor Q of the circuit is
(a) 1
(b) 10
(c) 30
(d) 100

Q5. An ammeter has a current range of 0–5 A, and its internal resistance is 0.2Ω. In order to change the range to 0–25 A, what should be the value of resistance added and how it would connect with meter (i.e., series/parallel)?
(a) 0.20 Ω/series
(b) 0.20 Ω/parallel
(c) 0.05 Ω/parallel
(d) 0.05 Ω/series

SOLUTIONS

GATE 2022, GATE 2022. GATE ELECTRICAL, |_50.1

S3. Ans.(b)
Sol. The bandwidth of cascaded N-stage amplifier decreases while gain of cascaded N-stage amplifier increases.
For N-stage cascaded amplifier: –
Bandwidth (BW) = Bw^’ √(2^(1/N)-1)
=10×√(2^(1/2)-1)
= 10 × 0.64
= 6.4 KHZ.

S4. Ans.(d)
Sol. for resonant circuit, Q=f_0/BW=(10×10^6)/(100×10^3 )=100

S5. Ans.(c)
Sol. for extending the range of ammeter, shunt resistance is connected in parallel.
And R_sh=R_m/(m-1)=0.2/(5-1)=0.05 Ω/parallel
Where; m=I/I_m =25/5=5

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