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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.
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)
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
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
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 × 0.64
= 6.4 KHZ.
Sol. for resonant circuit, Q=f_0/BW=(10×10^6)/(100×10^3 )=100
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