What topics are covered on Page 1 of GATE 2026 Electrical Engineering questions?

Page 1 contains Questions 1 to 13. Major topics include operational amplifiers, control-system time response, Bode plots, state-space representation, digital logic, MOSFET switching logic, transformers, autotransformers, induction motors, synchronous machines and transformer connections.

What is the voltage gain of the op-amp circuit in GATE 2026 Electrical Engineering?

For the operational amplifier circuit with open-loop gain A0 equal to 10^5, the correct voltage gain is -20.00.

What is the rating of the autotransformer in GATE 2026 Electrical Engineering?

A 15 kVA, 1100 V/220 V two-winding transformer configured as a 1.32 kV/1.1 kV autotransformer has a rating of 90 kVA.

What happens in a double-squirrel-cage induction motor at starting?

At starting, a larger portion of the rotor current flows through the outer cage. This is the correct statement for the typical double-squirrel-cage induction motor considered in the GATE 2026 question.

Electrical Engineering Gate 2026 Questions with Answer

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Ques 1 GATE 2026

In the circuit shown, the open loop gain of the operational amplifier is A₀ = 10⁵.
What is the voltage gain of the circuit?
(Round off to two decimal places)

−16.67

−20.00

−21.00

−12.67

(b) is the correct answer.

Ques 2 GATE 2026

The Laplace transform of the step response of a system is given by
Y(s) = 100/(s(s + 100))
The rise time is defined as the time taken for the response to go from 0.1 to 0.9 of its final value. The settling time is defined as the time taken for the response to reach 0.98 of its final value.
For this system, the rise time (T_r), settling time (T_s), and time constant (T_c), all expressed in seconds, are

T_r = 0.022, T_s = 0.04, T_c = 0.01

T_r = 0.22, T_s = 0.404, T_c = 0.01

T_r = 2.2, T_s = 4.04, T_c = 1.01

T_r = 22, T_s = 40.4, T_c = 10.1

(a) is the correct answer.

Ques 3 GATE 2026

The asymptotic Bode magnitude plot of a system is shown, with a -20 dB/decade slope reaching 0 dB at ω₀.
Which one of the following options best represents the transfer function of the system?

G(s) = (1 + s/ω0)/(s/ω0)

G(s) = (s/ω0)/(1 + s/ω0)

G(s) = (1 + s/ω0)/(1 − s/ω0)

G(s) = (1 − s/ω0)/(1 + s/ω0)

(b) is the correct answer.

Ques 4 GATE 2026

A system is characterized by the following state equation and output equation (u: input, x: state vector, y: output)
ẋ = [[a, b],[−a, 0]]x + [1,0]u
y = [1 2]x
What are the values of a and b for which the poles of the transfer function are at −2 + j3 and −2 − j3?

a = 4, b = 3.25

a = −4, b = 3.25

a = 4, b = −3.25

a = −4, b = −3.25

Ques 5 GATE 2026

A system is represented in state-space form as follows: (u: input, x: state vector, y: output)

Consider the new state vector z = [[2,1],[−1,0]]x
What is the state-space representation of the system in terms of the new state vector z?

ż=[[−1,4],[−1,−2]]z+[4,−1]u, y=[2 3]z

ż=[[2,3],[0,3]]z+[3,5]u, y=[2 3]z

ż=[[4,9],[−2,−3]]z+[4,−1]u, y=[2 3]z

ż=[[2,1],[−4,1]]z+[4,−1]u, y=[4 −1]z

(a) is the correct answer.

Ques 6 GATE 2026

The digital circuit shown has 3 inputs (x, y, and z), involving a NOR gate, NOT gate, AND gates, an OR gate, and a final AND gate.

The simplified logical expression for the output (OUT) is:

x̄yz̄

x̄(y + z)

(b) is the correct answer.

Ques 7 GATE 2026

The MOSFET switches shown in the circuit are ideal.

Which of the following is the correct option for Boolean logical expression of the output (OUT), and the maximum possible power (P) consumed by the circuit?

OUT = (AB+C̄)̄, P = 5 mW

OUT = ((A+B)C̄)̄, P = 5 mW

OUT = AB̄C̄ + C̄, P = 7.5 mW

OUT = ĀBC, P = 7.5 mW

(b) is the correct answer.

Ques 8 GATE 2026

A 15 kVA, 1100 V/220 V, single-phase two-winding transformer is configured as a 1.32 kV/1.1 kV autotransformer.
What will be the rating of the autotransformer?

60 kVA

75 kVA

90 kVA

100 kVA

Ques 9 GATE 2026

A certain application requires power at a frequency of 16.67 Hz, while the available grid frequency is 50 Hz. A 3-phase synchronous motor connected to the 50 Hz, 3-phase grid, driving a synchronous generator, is used for this application.
Which one of the following combinations is a suitable choice for the number of poles in the motor and generator, respectively?

2, 6

6, 2

4, 6

6, 4

(a) is the correct answer.

Ques 10 GATE 2026

Which one of the following options is correct regarding the typical double-squirrel-cage structure used in induction motors?

At starting, a larger portion of the rotor current flows in the outer cage

At starting, a larger portion of the rotor current flows in the inner cage

At rated speed, most of the rotor current flows in the outer cage

The purpose of the double-squirrel-cage structure is to lower the effective rotor resistance at starting

(a) is the correct answer.

Ques 11 GATE 2026

The figure shows the single-line diagram of a synchronous generator delivering P = 50 MW of power at unity power factor to an infinite bus.

I_s denotes the stator current phasor. If the field excitation is increased, which one of the following options correctly describes its effect on the stator current, power factor, and load angle of the machine?

Stator current increases, power factor becomes lagging, load angle remains the same

Stator current decreases, power factor becomes leading, load angle remains the same

Stator current increases, power factor becomes lagging, load angle decreases

Stator current increases, power factor becomes leading, load angle increases

(a) is the correct answer.

Ques 12 GATE 2026

A 220V/12V single-phase transformer is designed for use in India and rated 100 VA at 50 Hz. Later, this unit is shipped to the USA where it is used as a 110V/6V transformer at 60 Hz.
Which of the following statements is/are correct?

No-load current drawn would be smaller for operation in the USA compared to that in India

For the same load current, the losses would be higher in the USA compared to that in India

The peak magnetic flux density in the core would be higher while operating in the USA compared to that in India

The eddy current losses in the core would be approximately 44% higher while operating in the USA compared to that in India

(a,d) is the correct answer.

Ques 13 GATE 2026

Three single-phase 11kV/3.3kV transformers are connected to form a three-phase transformer bank with connections as shown.
Considering ABC phase sequence, the vector group of the transformer is:

Dd0

Dd4

Dd6

Dd10

(b) is the correct answer.

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