GATE 2022:
GATE 2022 is being organized by IIT, Kharagpur. Through this exam, the qualified candidates get admission into master’s & direct doctoral programs in the field of Engineering/ Architecture/ Technology/ Arts & Science, etc. Qualification in GATE is mandatory for seeking admission to various institutions.
GATE’22 EE: Daily Practices Quiz 27-Aug-2021
Each question carries 2 marks
Negative marking: 0.66 mark
Total Questions: 05
Total marks: 10
Time: 12 min.
Q1. A 3-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of 0.5 leading is
(a) 100 A
(b) 200 A
(c) 300 A
(d) 400 A
Q2. The gain margin of a unity feedback control system with the open loop transfer function is G(s)=((s+1))/s^2
(a) 0
(b) √2
(c) 1/√2
(d) ꝏ
Q4. For an electric field E = E_0 sin ωt, what is the phase difference between the conduction current and displacement current?
(a) 0°
(b) 45°
(c) 90°
(d) 180°
Solutions
S1. Ans.(d)
Sol. P=VI cosϕ
For same voltage and load, I cosϕ=constant
∴ I_1 cos〖ϕ_1=I_2 cos〖ϕ_2⇒200×1=I_2×0.5〗 〗
⇒I_2=400 A
S2. Ans.(d)
Sol. GM of second order system is infinity.