What topics are covered on Page 5 of GATE 2026 Electrical Engineering questions?

Page 5 contains the final Questions 53 to 65. Topics include power diodes, voltage-source inverters, boost converters, rectifier circuits, Newton-Raphson power flow, symmetrical components, current transformers, distance protection, transformer Y-bus modelling, transmission-line losses, economic dispatch, Z-transforms and sampled periodic signals.

What is the peak diode current in GATE 2026 Electrical Engineering?

For the ideal diode circuit supplied by 325 sin(2π50t) volts with L equal to 500 microhenry and R equal to 10 ohms, the peak diode current is 32.5 A.

What is the input voltage of the boost converter in GATE 2026 Electrical?

For the boost converter with the specified triangular inductor-current waveform, 10-ohm load and 500 microfarad capacitor, the input DC voltage is 15.0 V.

What is the size of the Newton-Raphson load-flow Jacobian in GATE 2026 Electrical?

For an N-bus system with P generator buses and the remaining buses as load buses, the Jacobian dimension is (2N - 1 - P) by (2N - 1 - P), assuming no reactive power-limit violations.

What is the real power loss at optimal generation in GATE 2026 Electrical?

For the given two-generator economic-dispatch problem with transmission losses, the real power loss at optimal generation is 5.1 MW.

When is the sampled discrete-time signal periodic in GATE 2026 Electrical Engineering?

The sampled sequence is periodic if and only if the ratio of the continuous-time signal period T to the sampling period Ts is a rational number.

Electrical Engineering Gate 2026 Questions with Answer

1 2 3 4 5

Ques 53 GATE 2026

Consider the circuit shown. Assume that the diode D is ideal. The supply voltage v_s = 325 sin(2π50t) V, L = 500 µH, and R = 10 Ω. The peak diode current (in amperes) is ______________
(Round off to one decimal place)

(32.5) is the correct answer.

Ques 54 GATE 2026

Consider the single-phase voltage source inverter circuit feeding an inductive load (L). Assume that the power MOSFET switches are ideal. S₁ and S₂ are switched on during the first 10 µs, and S₃ and S₄ are switched on during the next 10 µs in a switching cycle. The switches in the same leg are thus switched in a complementary fashion. Neglect the dead time. The waveform of the inductor current (i_L) in the steady state is triangular with a peak value of 5 A as shown.
The rms value of the current through the switch S₁ is:

2.88 A

2.04 A

3.54 A

2.50 A

(b) is the correct answer.

Ques 55 GATE 2026

Consider the boost converter circuit shown. Assume that the semiconductor devices are ideal. In steady state, the inductor current rises linearly from 0 A to 6 A in the first 10 µs and then falls linearly from 6 A to 0 A in the next 10 µs of every switching cycle as shown. The load resistance R is 10 Ω and the capacitance C is 500 µF.
Neglect the ripple in the output voltage. What is the input voltage V_dc?

10.0 V

15.0 V

7.5 V

12.5 V

(b) is the correct answer.

Ques 56 GATE 2026

Consider the circuit shown. Assume that the diode (D) is ideal.
Given v_s = 100 sin(2π50t) V, V_dc = 50 V, and R = 10 Ω, the average value of the current through the diode is ___________ A
(Round off to two decimal places)

(1.09) is the correct answer.

Ques 57 GATE 2026

Consider a power system with N buses, of which P are generator buses and the remaining Q are load buses (where there is no generation).
Assume that there are no reactive power-limit violations at the generator buses.
What is the size of the Jacobian matrix in the Newton-Raphson load flow method?

2N × 2N

(2N − 1 − P) × (2N − 1 − P)

(2N − Q) × (2N − Q)

(P + Q) × (P + Q)

(b) is the correct answer.

Ques 58 GATE 2026

The initial three-phase voltage phasors (V̄_A, V̄_B, and V̄_C) at a bus of a power network are as shown in Case-1. Due to a disturbance, the bus voltage phasors changed in phase by a small angle Δθ, and the magnitudes remained the same as depicted in Case-2.
Which one of the following statements is correct about the zero sequence components?

The zero sequence components in Case-1 and Case-2 have the same phase angle and magnitude

The magnitude of the zero sequence component in Case-1 is greater than that in Case-2

The magnitude of the zero sequence component in Case-2 is greater than that in Case-1

The zero sequence components in Case-1 and Case-2 have the same magnitude but different phase angles

(d) is the correct answer.

Ques 59 GATE 2026

In the circuit shown, the phase currents are I_A = 572.812 + j50.115 A, I_B = −254.525 − j459.175 A, I_C = −207.083 + j444.091 A.

Given that the CTs are ideal with no saturation, and the turns ratio of the Main CT is 300:5 and that of the Auxiliary Transformer (YnΔ) is 2:1 on every phase, the value of I_AR, rounded off to three decimal places, is:

0 A

0.653 ∠17.556° A

537.240 ∠4.105° A

8.954 ∠4.105° A

(d) is the correct answer.

Ques 60 GATE 2026

The operating characteristic of a reactance relay is given by X ≤ 1 Ω, where X is the reactance calculated by the relay. Its operating characteristic in the admittance plane (G-B plane, where G and B denote conductance and susceptance, respectively, expressed in &#herve;) is given by:

G² + (B+0.5)² ≥ 1/4

B ≥ 1

(G−1)² + B² ≤ 1/2

G² + (B−1)² ≥ 1/2

(d) is the correct answer.

Ques 61 GATE 2026

A three-phase two-winding transformer has a voltage transformation ratio V_P/V_S = 0.866 + j0.5, where V_P is the primary side voltage in p.u., and V_S is the secondary side voltage in p.u. I_P and I_S represent the currents injected into the primary and secondary sides of the transformer, respectively. The admittance corresponding to the leakage impedance of the transformer referred to the secondary is y_t p.u. Neglect the magnetizing branch.

The Y bus representation of this transformer is:

Option A

Option B

Option C

Option D

Ques 62 GATE 2026

For the balanced 3-phase transmission line shown, consider the following cases:
Case-1: |V₁| = 1.1 p.u., |V₂| = 0.9 p.u., Z = 0.75∠0° p.u. and θ12 = θ1 − θ2 = 0°
Case-2: |V₁| = 1.1 p.u., |V₂| = 0.9 p.u., Z = 0.75∠90° p.u. and θ12 = θ1 − θ2 = 90°

Which of the following statements is/are correct about real power loss and reactive power loss in the line?

Real power loss in Case-1 is more than that in Case-2

Real power loss in Case-2 is more than that in Case-1

Reactive power loss in Case-1 is more than that in Case-2

Reactive power loss in Case-2 is more than that in Case-1

(b,c) is the correct answer.

Ques 63 GATE 2026

A system with two generators G1 and G2 (without generator limits) is shown. The total load on the system is 1184 MW. The expressions for the cost of generation (C₁ and C₂) and real power loss (P_Loss) 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
P_Loss = 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.

(5.1) is the correct answer.

Ques 64 GATE 2026

Consider the infinite-length, discrete-time sequence x[n] = 0.9^|n|, where n is an integer. The region of convergence of its Z-transform X(z) is given by:
(Note: z is a complex variable)

|z| > 0.9

|z| < 0.9

0.9 < |z| < 1/0.9

{z such that |z| < 0.9} ∪ {z such that |z| > 1/0.9}

Ques 65 GATE 2026

Let x_c(t) be any continuous-time periodic signal with period T. It is sampled uniformly with a sampling period T_s where T_s ≠ T, resulting in the discrete sequence x[n] = x_c(nT_s), where n is an integer.
Which one of the following statements is correct about x[n]?

x[n] will always be periodic with period T/T_s for all values of T/T_s

x[n] will always be periodic with period 1 for all values of T/T_s

x[n] will never be periodic

x[n] will be periodic if and only if T/T_s is a rational number

(d) is the correct answer.

1 2 3 4 5

Total Unique Visitors

Loading......

Electrical Engineering Gate Yearwise

Electrical Engineering Gate 2026 Questions with Answer

Question Options

Sign in to ExamPrev