UPSC Engineering Services 2025 Electrical Engineering Paper II PDF

Central Government Jobs Engineer 2025

  • Year 2025
  • Conducted By UPSC
  • Questions 150
  • Maximum Marks 300
  • Duration Three Hours
  • Languages English

Exam Details

Detail Information
Examination Engineering Services (Preliminary) Examination
Year 2025
Conducting Body UPSC
Paper Electrical Engineering Paper - II
Subject Electrical Engineering
Duration Three Hours
Maximum Marks 300
Number of Questions 150
Question Type Objective (MCQ)

This document contains the official question paper for the Electrical Engineering Paper II of the UPSC Engineering Services (Preliminary) Examination 2025. The exam, conducted by the Union Public Service Commission (UPSC), tests candidates' knowledge in Electrical Engineering. This paper consists of 150 objective-type questions and is allocated a maximum of 300 marks, with a time limit of three hours. It is a crucial resource for aspirants preparing for the ESE exam, providing insights into the exam pattern, difficulty level, and important topics covered.

Major Topics Covered

  • Electrical Engineering
  • System of homogeneous linear equations
  • Orthogonal trajectories
  • Integration
  • Divergence theorem
  • Fourier series
  • Fourier coefficients
  • Partial differential equations

Why This Paper is Important

  • Useful for Engineering Services Examination preparation
  • Helps understand the latest exam pattern
  • Useful for practice and self-assessment
  • Covers frequently asked General Studies topics
  • Helpful for analysing question trends

Related Resources

  • UPSC Engineering Services 2024 Electrical Engineering Paper II
  • UPSC Engineering Services 2023 Electrical Engineering Paper II
  • UPSC Engineering Services 2025 Electrical Engineering Paper I
  • UPSC Engineering Services 2025 Electrical Engineering Paper II Answer Key
  • UPSC Engineering Services Electrical Engineering Syllabus
  • UPSC Engineering Services Exam Pattern
  • UPSC Engineering Services Examination
  • SSC Junior Engineer Exam

Instructions

  • IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC.
  • IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET.
  • Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test Booklet Series A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet.
  • Any omission/discrepancy will render the Answer Sheet liable for rejection.
  • You have to enter your Roll Number on the Test Booklet in the Box provided alongside.
  • DO NOT write anything else on the Test Booklet.
  • This Test Booklet contains 150 items (questions).
  • Each item comprises four responses (answers).
  • You will select the response which you want to mark on the Answer Sheet.
  • In case you feel that there is more than one correct response, mark the response which you consider the best.
  • In any case, choose ONLY ONE response for each item.
  • You have to mark all your responses ONLY on the separate Answer Sheet provided. See directions in the Answer Sheet.
  • Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate.
  • After you have completed filling in all your responses on the Answer Sheet and the examination has concluded, you should hand over to the Invigilator only the Answer Sheet.
  • You are permitted to take away with you the Test Booklet.
  • Sheets for rough work are appended in the Test Booklet at the end.
  • Penalty for wrong answers : THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE.

Questions (page 2)

Q1. What is the value of b such that the system of homogeneous equations
2x+y+2z=0
x+y+3z=0
4x+3y+bz=0
has non-trivial solution?

  • (a) 4
  • (b) 6
  • (c) 8
  • (d) 10

Q2. The orthogonal trajectories of the hyperbolas
x2-y2=c
are

  • (a) x2+y2=c
  • (b) x+y=c
  • (c) xy=c
  • (d) x2+y2+2x=c

Q3. The value of the integral ∫C x2 y dS, where C is the curve defined by
x = 3 cos t, y = 3 sin t, 0 ≤ t ≤ (π)/(2)
is

  • (a) 20
  • (b) 24
  • (c) 27
  • (d) 31

Q4. Let D be the region bounded by the closed cylinder x2 + y2 = 16, z = 0, z = 4, and v = 3x^2i + 6y^2j + zk, then by divergence theorem ∭D (\nabla \cdot v) dV is

  • (a) 46π
  • (b) 64π
  • (c) 84π
  • (d) 96π

Q5. In the Fourier series expansion of the function
f(x) = x sin x, -π ≤ x ≤ π
the value of the Fourier coefficient a1 is

  • (a) -(3/2)
  • (b) -1/2
  • (c) -2/3
  • (d) -2/5

Q6. The partial differential equation formed by the elimination of arbitrary function from
z = f(x2-y2)
is

  • (a) xp+yq=0
  • (b) yp-xq=0
  • (c) yp+zq=0
  • (d) yp+xq=0

Question paper preview

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Frequently asked questions

What is the exam name?

The exam name is Engineering Services (Preliminary) Examination.

What is the year of this question paper?

The year of this question paper is 2025.

Which conducting body releases this paper?

The conducting body is UPSC (Union Public Service Commission).

What is the subject of this paper?

The subject is Electrical Engineering, specifically Paper II.

What is the maximum number of marks for this paper?

The maximum marks for this paper is 300.

What is the allowed time duration for the examination?

The time allowed for the examination is Three Hours.

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