What topics are covered on Page 2 of GATE 2026 Electrical Engineering questions?

Page 2 contains Questions 14 to 26. Topics include wound-rotor induction motors, Wheatstone bridge measurements, electric and magnetic fields, electromagnetic induction, differential equations, eigenvalues, vector calculus, skew-symmetric matrices, Fourier series and linear dependence of vectors.

What is the rotor winding resistance in the GATE 2026 induction motor question?

For the 30 kW, 4-pole, 400 V, 50 Hz wound-rotor induction motor, the actual per-phase rotor winding resistance is 0.90 ohm.

What is the balanced resistance in the Wheatstone bridge question of GATE 2026 Electrical?

With P equal to 2000 ohms, Q equal to 500 ohms and R equal to 3000 ohms, the resistance S required for a balanced Wheatstone bridge is 750 ohms.

What is the surface integral over the unit sphere in GATE 2026 Electrical Engineering?

For the given vector field, the closed surface integral over the unit sphere evaluates to approximately 20.9.

Electrical Engineering Gate 2026 Questions with Answer

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Ques 14 GATE 2026

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)

(0.90) is the correct answer.

Ques 15 GATE 2026

The resistance values of the Wheatstone bridge shown are: P = 2000 Ω, Q = 500 Ω, R = 3000 Ω. The battery voltage E = 50V. The battery has an internal resistance of 1 Ω and the Galvanometer (G) has a resistance of 50 Ω.

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

(750) is the correct answer.

Ques 16 GATE 2026

A uniform ring charge of radius R carries a total charge Q. Which one of the following options correctly quantifies the magnitude of the force on a point charge of strength q kept at the center of the ring?
(ϵ is the permittivity of the medium)

Qq/4πϵR

Qq/4πϵR²

(q/4πϵR) × (Q/2πR)

Ques 17 GATE 2026

A positive point charge with velocity v⃗ = 5 x̂ enters a region having electric field E⃗ = 4 ŷ and magnetic field B⃗ = −6 ẑ. Which one of the following statements is correct for the force on the charge as it enters the region?

The force will be along the magnetic field but perpendicular to the electric field

The force will be along the electric field but perpendicular to the magnetic field

The force will be perpendicular to both electric and magnetic field

The magnetic field does not exert any force on the charge

(b) is the correct answer.

Ques 18 GATE 2026

The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two nonintersecting regions with areas a₁ and a₂ within the loop are subjected to magnetic fields B⃗₁ = (m/√2)sin(ωt)(1x̂+0ŷ+1ẑ), and B⃗₂ = −(n/√2)cos(2ωt+π/4)(0x̂+1ŷ+1ẑ), respectively.

What is the expression for the induced rms voltage in loop A?

√((a1²ω²m² + 4a2²ω²n²)/4)

√((a1²ω²m² + 4a2²ω²n²)/2)

√((a1²ω²m² − 2a2²ω²n²)/2)

√(a1²ω²m² + 2a2²ω²n²)

(a) is the correct answer.

Ques 19 GATE 2026

A uniform spherical volume charge distribution of radius 2 m, centered at the origin, has a strength of (3/π) × 10⁻⁶ C/m³. A point charge of strength π × 8.854 × 10⁻¹² C is moved from (−3, 0, −4) to (0, 0, 4) in Cartesian coordinate system. The relative permittivity of the medium is 1 and the coordinate values are in meters.
The work done during the process is ______ µJ
(Round off to two decimal places)

(0.00) is the correct answer.

Ques 20 GATE 2026

Consider the following differential equation:
t²(d²y/dt²) + 7t(dy/dt) + 8ty = 10 sin(t)
Which one of the following options is correct?

It is a linear differential equation

It is a nonlinear differential equation

It is a time-invariant differential equation

It is a second-order partial differential equation

(a) is the correct answer.

Ques 21 GATE 2026

Two n × n matrices A and B have a common eigenvalue 2, and the same corresponding nonzero eigenvector.
Which of the following options is/are correct?
(Note: I is the n × n identity matrix.)

Determinant(A − 2I) = 0

Determinant(B − 2I) = 0

Determinant(A + B − 2I) = 0

Determinant(A + B − 4I) = 0

(a,b,d) is the correct answer.

Ques 22 GATE 2026

Given that F⃗(x, y, z) = sin(y) x̂ + cos(x) ŷ + 5 ẑ, the integral ∯_S F⃗(x, y, z) ⋅ ds⃗ over the unit sphere S centered at the origin evaluates to ________
(Round off to one decimal place)

(20.9) is the correct answer.

Ques 23 GATE 2026

A is an m×m skew-symmetric matrix with real-valued entries, and x is an m-dimensional column vector with real-valued entries such that x^Tx = 1.
The quantity x^TAx evaluates to _________
(Answer in integer)

(0) is the correct answer.

Ques 24 GATE 2026

A time-limited waveform g(x) is specified as follows:
g(x) = −k for −π < x ≤ 0, +k for 0 < x ≤ π, 0 otherwise
A new waveform f(x) is constructed from g(x) as follows:
f(x) = ∑_m=−∞^∞ g(x + 2πm), for all x ∈ R
The sum of the coefficients of the third harmonics of the sine and cosine terms in the trigonometric Fourier series expansion of f(x) is 2/3π.
What is the value of k?

1/2

1/3

1/4

(a) is the correct answer.

Ques 25 GATE 2026

Which one of the following statements is ALWAYS correct about a collection of p column vectors, each having n real-valued entries?

If p > n, then the column vectors must be linearly dependent

If p > n, then the column vectors must be linearly independent

If p = n, then the column vectors must be orthogonal

If p < n, then the column vectors must be linearly independent

(a) is the correct answer.

Ques 26 GATE 2026

Consider the second-order differential equation
d²y/dx² + dy/dx + y = 0
with initial conditions y(0) = 1, dy/dx|_x=0 = 1
The solution is given by

y(x) = exp(−x/2)(cos(√3x/2) + √3sin(√3x/2))

y(x) = exp(−x/2)(cos(√3x/2) + (1/√3)sin(√3x/2))

y(x) = exp(−x/2)(cos(√3x/2) − (1/√3)sin(√3x/2))

y(x) = exp(−x/2)(cos(√3x/2) − √3sin(√3x/2))

(b) is the correct answer.

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