What is the exam pattern and passing mark for GTU Numerical Methods for Electrical Engineering (BE03000191)?

The GTU theory examination carries 70 total marks with a duration of 2.5 Hours. Minimum passing criteria is 23 marks (33%). The paper consists of 5 main questions with official marking breakdown and internal choices.

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Gujarat Technological UniversitySummer 2026 examination

GTU BE03000191 Numerical Methods for Electrical Engineering Summer 2026 Question Paper & PDF

B.E. · Electrical Engineering · Semester 3 · Subject code BE03000191

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Total: 70 marks
To pass: 23 marks (33%)
Duration: 2.5 Hours 2:30 PM – 5:00 PM
Questions: 5 with internal choice

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2 of 25 questions on this paper were also asked in other years. 14 more are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 16 repeated BE03000191 questions, most asked first

Q.1

14 Marks

(a)

3 marksSame type asked in 2 of 2 papers

Minimize

f(x) = x + 1

[0, 1]

by using interval-halving method up to two iteration.

Also asked in Winter 2025 Q5b OR

(b)

4 marksSame type asked in 2 of 2 papers

In an electrical network, the mesh current equations are given as:

$2x + 3y = 8, 4x + 9y = 20$ where $x$ and $y$ represent mesh currents in amperes. Using the LU decomposition method, solve for the mesh currents $x$ and $y$ .

Also asked in Winter 2025 Q2c

(c)

7 marksSame type asked in 2 of 2 papers

Use fourth order Runge-Kutta method to calculate

y(1.1)

with

h = 0.05

given that

y' = x - y, y(1) = 1

Also asked in Winter 2025 Q3c

Q.2

14 Marks

(a)

3 marksAsked in 2 of 2 papers

Explain finite element discretization.

Also asked in Winter 2025 Q4a OR

(b)

4 marks

Find a root of the equation $x^3 - 2x - 5 = 0$ which lies in the interval $(1.75, 2.5)$ using false-position method correct up to 3 significant digits.

(c)

7 marksSame type asked in 2 of 2 papers

Find root of an equation

xe^x - 1 = 0

using secant method correct to 4 significant digits.

Also asked in Winter 2025 Q1c

(c)

7 marksSame type asked in 2 of 2 papers

Find the positive root of equation

x = \cos x

correct up to 3 decimal places by bisection method.

Also asked in Winter 2025 Q2b

Q.3

14 Marks

(a)

3 marks

Find a real root of the equation

x^3 + x - 1 = 0

using Newton-Raphson method correct up to 4 decimal places.

(b)

4 marks

Solve the following system by Gauss-Jordan method. $x + 2y + z = 8, 2x + 3y + 4z = 20, 4x + 3y + 2z = 16$ .

(c)

7 marksSame type asked in 2 of 2 papers

Solve the following equations by Gauss-Seidel method:

$4x + y + 3z = 17, \quad x + 5y + z = 14, \quad 2x - y + 8z = 12$ .

Also asked in Winter 2025 Q2c OR

(a)

3 marks

Find a root of the equation

2^x - x - 3 = 0

which lies in the interval (-3, -2) using fixed point method correct up to 3 decimal places.

(b)

4 marks

Using Gauss-Jordan method, find inverse of the matrix

A = \begin{bmatrix} 1 & 2 & 3 \\ 2 & 5 & 3 \\ 1 & 0 & 8 \end{bmatrix}

(c)

7 marksSame type asked in 2 of 2 papers

Solve the following equations by Gauss-Jacobi method:

$10x + y + z = 6, \ x + 10y + z = 6, \ x + y + 10z = 6$ .

Also asked in Winter 2025 Q1b

Q.4

14 Marks

(a)

3 marks

Find the absolute error, relative error, and percentage error in the approximation of

\pi

when the approximate value is 3.14.

(b)

4 marks

Use Euler's method to obtain an approximate value of $y(1)$ for the equation $\dfrac{dy}{dx} = x^2 + y^2, \quad y(0) = 1$ , using $h = 0.2$ .

(c)

7 marksSame type asked in 2 of 2 papers

Consider the initial value problem: $\dfrac{dy}{dx} = x + y^2, y(0) = 1$ . Use Heun's method with step size $h = 0.1$ to approximate $y(0.2)$ .

Also asked in Winter 2025 Q3c OR

(a)

3 marks

Define: Absolute error, Relative error, Percentage error.

(b)

4 marksSame type asked in 2 of 2 papers

Consider the initial value problem:

$y'(x) = x + 1, y(0) = 2$ Find an approximate value of $y(1)$ using the trapezoidal rule with step size $h = 0.5$ .

Also asked in Winter 2025 Q3b OR

(c)

7 marksSame type asked in 2 of 2 papers

Using modified Euler’s method, find an approximate value of

y

corresponding to 0.2 given that

\dfrac{dy}{dx} = 1 - y, \quad y(0) = 0

. Use step size

h = 0.1

Also asked in Winter 2025 Q3b

Q.5

14 Marks

(a)

3 marks

Explain constrained and unconstrained optimization.

(b)

4 marksSame type asked in 2 of 2 papers

Apply Fibonacci search method to maximize the function

f(x) = x^2 + 4x + 5

[1, 4]

with

n = 5

Also asked in Winter 2025 Q5c

(c)

7 marksAsked in 2 of 2 papers

A simple series RL circuit is excited by a constant DC voltage source V. The governing differential equation for the current $i(t)$ is given by Kirchhoff’s voltage law as:

L\dfrac{di}{dt} + Ri = V

where

L = 1\ H

(induction),

R = 1\ \Omega

(resistance) and

V = 1\ V

(constant source) with initial condition

i(0) = 0

. Using the finite element method, determine the current

i(t)

over the interval

t \in [0, 1]

. Use 2 linear elements and appropriate shape functions (3 nodes approximation).

Also asked in Winter 2025 Q4c OR

(a)

3 marksSame type asked in 2 of 2 papers

Apply exhaustive search method to maximize the function

f(x) = x^2 + 3x

[0, 5]

with

n = 6

Also asked in Winter 2025 Q5c OR

(b)

4 marksSame type asked in 2 of 2 papers

Find the local minimum and maximum of the continuous, unconstrained function

f(x) = x^3 - 12x + 5

using optimality criterion.

Also asked in Winter 2025 Q5b

(c)

7 marksSame type asked in 2 of 2 papers

Apply finite element method to solve the boundary value problem:

y'' + y = 0, y(0) = 0

and

y(1) = 1

. (Use a single, two-node linear element)

Also asked in Winter 2025 Q4c

More Numerical Methods for Electrical Engineering papers

Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.

Winter 202570 marks · 5 questions · Solved

Other Semester 3 subjects

BE Electrical

3130905

Control System Theory

3130906

Electrical Circuit Analysis

3130907

Analog & Digital Electronics

3130908

Applied Mathematics for Electrical Engineering

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About this paper

Official Gujarat Technological University (GTU) examination paper for Numerical Methods for Electrical Engineering (Summer 2026, B.E. · Electrical Engineering, Sem 3). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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