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CT_Questions/README.md

ECE 2207 — Electrical Machines I

Class Test (CT) Questions & Solutions (Session 2023-24)

Department of Electrical & Computer Engineering (ECE), RUET

This directory contains faithful, word-for-word digitizations of all four Class Tests (CT-01 to CT-04) conducted during the 2nd Year Even Semester (Session 2023-24). Each file includes the high-resolution paper scan, verbatim transcription, and complete step-by-step solutions with diagrams and derivations.


1. Class Test Overview & Index

CT No.DateTopic DomainTopics TestedMarksFull Solution File
CT-0119/07/2026Induction Motor3-ϕ\phiϕ RMF synchronous speed proof, IM operating principle20CT_01.md
CT-0203/08/2026Induction MotorMax torque independence from R2R_2R2​, Blocked rotor test20CT_02.md
CT-0326/08/2026Transformer1-ϕ\phiϕ transformer schematic & variables, EMF equation proof20CT_03.md
CT-0409/09/2026TransformerLeakage flux effect, Phasor diagram of R-L loaded ideal transformer20CT_04.md

2. Complete Question Listing

CT-01 (Held on 19/07/2026)

  • Q1. Suppose that 3-ϕ\phiϕ supply is given to an induction motor (IM). Prove that the resulting flux at stator will rotate at synchronous speed. [10 Marks, CO1, PO1]
  • Q2. Explain the basic operating principle of an induction motor. [10 Marks, CO1, PO1]

CT-02 (Held on 03/08/2026)

  • Q1. Justify the following: "The value of rotor resistance does not alter the value of the maximum torque but only the value of slip at which it occurs." [10 Marks, CO1, PO1]
  • Q2. Explain the blocked rotor test of an induction motor. Also enlist the necessities of performing this test. [10 Marks, CO1, PO1]

CT-03 (Held on 26/08/2026)

  • Q1. Schematically represent a single-phase transformer assuming the primary winding is connected to a sinusoidal voltage source, while the secondary winding is connected to a load. Also identify and label the variables associated with the primary and secondary sides of the transformer in the schematic. [10 Marks, CO1, PO1]
  • Q2. Consider an ideal single-phase transformer operating under the following assumptions:
    • The permeability of the core is constant over the range of transformer operation, and hence the reluctance of the core is constant.
    • There is no leakage flux; therefore, the same sinusoidally varying flux links both the primary and secondary windings. If the core flux is sinusoidal with frequency fff and maximum value Φm\Phi_mΦm​, prove that: E1=4.44fN1ΦmandE2=4.44fN2ΦmE_1 = 4.44 f N_1 \Phi_m \quad \text{and} \quad E_2 = 4.44 f N_2 \Phi_mE1​=4.44fN1​Φm​andE2​=4.44fN2​Φm​ Variables having their usual meanings. [10 Marks, CO1, PO1]

CT-04 (Held on 09/09/2026)

  • Q1. With the help of schematic representation, explain the effect of leakage flux on the transformer operation. [10 Marks, CO1, PO1]
  • Q2. Draw the phasor diagram of a R-L loaded ideal transformer. Also describe each step while drawing. [10 Marks, CO1, PO1]

3. Exam Analysis & Strategic Value

These class tests directly reflect the teacher's exam focus. Every single topic tested in these four class tests represents a high-frequency question in RUET semester final examinations:

CT QuestionTopicFrequency in 7 Semester FinalsDirect Semester Final Appearances
CT-01 Q13-ϕ\phiϕ RMF proof (1.5Φm1.5 \Phi_m1.5Φm​)6 / 7 (86%)2024 Q5a, 2023 Q5a, 2021 Q5a, 2020 Q5a, 2018 Q5a, 2017 Q5a
CT-01 Q2Induction motor operating principleFundamentalAppears across all theoretical sections
CT-02 Q1TmaxT_{\text{max}}Tmax​ independent of R2R_2R2​6 / 7 (86%)2024 Q6a, 2023 Q6b, 2021 Q6a, 2020 Q6a, 2019 Q6a, 2018 Q6a
CT-02 Q2Blocked rotor test & parameter extraction4 / 7 (57%)2023 Q7a, 2020 Q7b, 2018 Q7b, 2017 Q7b
CT-03 Q1Transformer physical schematicHigh2024 Q1b (exciting core schematic)
CT-03 Q2Transformer EMF equation (4.44fNΦm4.44 f N \Phi_m4.44fNΦm​)4 / 7 (57%)2024 Q1b, 2023 Q1b, 2021 Q1a, 2019 Q1a
CT-04 Q1Leakage flux & leakage reactanceHighCore equivalent circuit derivation in 2024 Q2a, 2020 Q2a
CT-04 Q2R-L loaded transformer phasor diagram4 / 7 (57%)2024 Q2b, 2021 Q2b, 2018 Q2a, 2017 Q2a

4. Directory Structure

CT_Questions/
├── AGENTS.md                  # Quick lookup table for AI agents
├── README.md                  # This master index and analysis document
├── CT_Questions.md -> README.md
├── CT_01.md                   # CT-01 questions, transcript, scan, and solutions
├── CT_02.md                   # CT-02 questions, transcript, scan, and solutions
├── CT_03.md                   # CT-03 questions, transcript, scan, and solutions
├── CT_04.md                   # CT-04 questions, transcript, scan, and solutions
└── diagrams/
    ├── ct01_question_paper.jpg
    ├── ct02_question_paper.jpg
    ├── ct03_question_paper.jpg
    └── ct04_question_paper.jpg