GATE EE format:nat PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 256. Imported answers require independent review unless marked reviewed.

Topic practice 256 questionsPage 1 of 26

Given that

, the integral

over the unit sphere

centered at the origin evaluates to ________

(Round off to one decimal place)

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In the linear regulator circuit shown, the base to emitter voltage

of the BJT is 0.6 V. The Zener diode clamps the base voltage to 5.4 V. Ignore the biasing current of the Zener diode and BJT.

The maximum possible efficiency of the regulator circuit is __________ %

(Round off to one decimal place)

Diagram for Electrical Engineering question 33

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Consider the circuit shown. Assume that the diode D is ideal. The supply voltage

, and

. The peak diode current (in amperes) is ______________

(Round off to one decimal place)

Diagram for Electrical Engineering question 34

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is an

skew-symmetric matrix with real-valued entries, and

is an

-dimensional column vector with real-valued entries such that

. The quantity

evaluates to ________

(Answer in integer)

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The resistance values of the Wheatstone bridge shown are: P = 200 Ω, Q = 500 Ω, R = 300 Ω. The battery voltage E = 50 V. The battery has an internal resistance of 1 Ω and the Galvanometer (G) has a resistance of 50 Ω.

Diagram for Electrical Engineering question 57

The value of the resistance S for balanced condition is ______ Ω (Answer in integer)

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A system with two generators G1 and G2 (without generator limits) is shown.

Diagram for Electrical Engineering question 58

The total load on the system is 1184 MW. The expressions for the cost of generation (C₁ and C₂) and real power loss (Pₗₒₛ) are as follows:

C₁(P_G₁) = 1000 + 50P_G₁ + 0.01(P_G₁)² Rs/MWh

C₂(P_G₂) = 2000 + 50P_G₂ + 0.001(P_G₂)² Rs/MWh

Pₗₒₛ = 0.001(P_G₂ − 50)² MW

When the generators are operating at their optimal generation, meeting the total load requirement, the real power loss in the system is ______ MW (Round off to one decimal place)

Consider the Lagrange multiplier λ = 70.25 for optimal generation.

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A balanced three-phase supply is given to a 30 kW, 4-pole, 400 V, 50 Hz, wound rotor induction motor with Y-connected stator and rotor windings. The motor is driving a constant torque load. With shorted sliprings, the machine runs at 1476 rpm.

When an external non-inductive resistance of 0.27 Ω per phase is connected in series in the rotor circuit, the steady-state speed drops to 1404 rpm.

Neglecting rotational losses, the actual per phase rotor winding resistance is ___ Ω

(Round off to two decimal places)

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Consider the two-port network shown. For maximum power transfer to the resistive load (R_L), the value of R_L should be _________ Ω (Round off to two decimal places)

Diagram for Electrical Engineering question 60

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Consider the circuit shown. Assume that the diode (D) is ideal.

Diagram for Electrical Engineering question 61

Given

V, and

, the average value of the current through the diode is __________ A (Round off to two decimal places)

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The magnitude of the contour integral

over the contour C: |z − 2 − i| = 3/2 is _____ (Round off to two decimal places)

Note: z is a complex variable and i = √−1

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GATE EE format:nat PYQs

How to practice format:nat

Question 32

Question 33

Question 34

Question 35

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62