GATE’22 EE: Daily Practices Quiz 09-Oct-2021

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GATE’22 EE: Daily Practices Quiz

GATE’22 EE: Daily Practices Quiz 09-Oct-2021

Each question carries 2 marks
Negative marking: 0.66 mark

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

Q1. A co-axial cable of inner radius a and outer radius b. The space between conductor is filled with dielectric of permittivity ∈ and length of cable 4m. what is the capacitance of the cable?
(a) (2π∈)/ln⁡(b/a)
(b) ln⁡(b/a)/(2π∈)
(c) (π∈)/(2 ln⁡(b/a) )
(d) (8π∈)/ln⁡(b/a)

Q2. In a two-unit insulator string, voltage across the unit near to line conductor is 18.5 kV and string efficiency is 75%. The voltage of line conductor will be:
(a) 37 kV
(b) 48.07 kV
(c) 27.75 kV
(d) 30 kV

Q3. A step-down chopper connected to a d.c. supply, supplies a separately excited d.c. motor at a duty ratio of α. The ripple factor in the terminal voltage of the motor assuming continuous current conduction is-
(a) α/(1-α)
(b) (1-α)/α
(c) √((1-α)/α)
(d) √(α/(1-α))

Q5. In a three-phase induction motor, the ratio power across air gap, rotor copper loss and gross mechanical power output is
(a) PG:sPG:(1-s) PG
(b) PG:sPG:(s-1) PG
(c) PG:(1-s) PG:sPG
(d) PG:sPG:(1+s) PG

Q7. Consider a network function H(s)= (2(s+3))/((s+2)(s+4)). What is the steady state response due to step input?
(a) ½
(b) ¾
(c) 2
(d) 1

Q8. Which of the following is a non-maskable interrupt of 8085 microprocessors?
(a) INTR
(b) TRAP
(c) RST 6.5
(d) RST 7.5

Q9. For a JFET I_DSS = 8 mA and peak voltage V_p = –8V, what will be the drain current for gate to source voltage of –2V?
(a) 4.5 mA
(b) 8 mA
(c) 16 mA
(d) 12 mA

Q10. Determine the deflection factor (in V/m) of a CRO, when the deflection sensitivity of the CRO is 5 m/V.
(a) 0.25
(b) 0.35
(c) 0.20
(d) 0.40

SOLUTIONS

S5. Ans.(a)
Sol. In a three-phase induction motor, the ratio power across air gap, rotor copper loss and gross mechanical power output is-
P_G= Air gap power
sP_G = rotor copper loss
P_G (1-s) = gross mechanical power
So, ratio is-
P_G:sP_G ∶(1-s) P_G

S6. Ans.(c)
Sol. Peak current=I_0+(△i_c)/2=5+1.6/2=5.8 A

S7. Ans.(b)
Sol. steady state response=lim┬(s→0)⁡〖sC(s)=〗 lim┬(s→0)⁡= s×(2(s+3))/((s+2)(s+4))×1/s=3/4

S8. Ans.(b)
Sol. The hardware vectored interrupts are classified in to maskable and non-maskable interrupts.
TRAP is non-maskable interrupt.
RST 7.5, RST 6.5, RST 5.5 and INTR are maskable interrupt.

S9. Ans.(a)
Sol. I_D=I_DSS (1-V_GS/V_P )^2=8×10^(-3) (1-(-2)/(-8))^2=4.5 mA

S10. Ans.(c)
Sol. Deflection factor=1/(deflection sensitivity)=1/5=0.2 V/m.

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