ENEE 151Bachelor in Electrical Engineering · Semester 21 Paper Available

Electric Circuit I

Past examination question papers and complete curriculum syllabus for Electric Circuit I (ENEE 151), Bachelor in Electrical Engineering Semester 2 under Institute of Engineering (IOE), Tribhuvan University.

Past Question Papers (PDF)

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Note: This question paper file (1st sem) was archived from an IOE exam session for the common Electric Circuit I curriculum.

1st-sem_Electric Circuit I.pdf

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Most Frequently Asked Questions

Top recurring IOE board exam questions for Electric Circuit I with verified mark schemes, formula notation, and recurrence frequency.

Showing 30 of 30 top repeated questions

Circuit Analysis Techniques (Mesh and Nodal)

4 Questions
#1Repeated 3 Times[8 Marks]Circuit Analysis Techniques (Mesh and Nodal)
Explain the concept of Supernode and Supermesh analysis. Write nodal equations for a planar circuit containing two non-reference nodes connected by an ideal independent voltage source.
Appeared in:2082 Chaitra2080 Chaitra2076 Chaitra
#2Repeated 3 Times[8 Marks]Circuit Analysis Techniques (Mesh and Nodal)
Formulate matrix loop impedance equations $[Z][I] = [V]$ for a coupled planar network with mutual inductances. Explain how Cramer's rule is applied to compute branch currents.
Appeared in:2083 Baishakh2081 Bhadra2077 Chaitra
#3Repeated 3 Times[6 Marks]Circuit Analysis Techniques (Mesh and Nodal)
Explain source transformation technique (practical voltage source to practical current source and vice-versa). Find power dissipated in an $8\,\Omega$ load resistor using successive source transformations.
Appeared in:2081 Chaitra2079 Chaitra2075 Bhadra
#4Repeated 3 Times[6 Marks]Circuit Analysis Techniques (Mesh and Nodal)
Define duality in electrical networks. What are the dual pairs of circuit elements and topological parameters? Construct the exact dual of a two-loop circuit having series R-L and parallel R-C elements.
Appeared in:2082 Bhadra2080 Baishakh2078 Chaitra

Network Theorems in DC and AC Circuits

6 Questions
#1Repeated 4 Times[8 Marks]Network Theorems in DC and AC Circuits
State and explain Thevenin's and Norton's theorems. Determine the Thevenin equivalent circuit across terminals A-B for a bridge network containing dependent voltage and current sources.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra2076 Chaitra
#2Repeated 4 Times[8 Marks]Network Theorems in DC and AC Circuits
State Maximum Power Transfer Theorem for DC circuits and AC circuits. Prove that maximum power is transferred when load impedance equals the complex conjugate of source impedance ($Z_L = Z_{th}^*$).
Appeared in:2082 Bhadra2080 Chaitra2077 Magh2075 Bhadra
#3Repeated 3 Times[8 Marks]Network Theorems in DC and AC Circuits
Explain the Superposition Theorem and Reciprocity Theorem with their limitations. Solve for branch current in a circuit having both independent and dependent sources using superposition.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#4Repeated 3 Times[6 Marks]Network Theorems in DC and AC Circuits
State Millman's Theorem and Tellegen's Theorem. Use Millman's theorem to find the voltage across an impedance connected to three parallel voltage sources with unequal internal impedances.
Appeared in:2083 Baishakh2081 Chaitra2079 Baishakh
#5Repeated 3 Times[6 Marks]Network Theorems in DC and AC Circuits
State Substitution Theorem and Compensation Theorem. Explain how change in branch resistance ($\Delta R$) produces an incremental current in all branches of a linear network.
Appeared in:2082 Bhadra2081 Baishakh2078 Chaitra
#6Repeated 3 Times[6 Marks]Network Theorems in DC and AC Circuits
Write short notes on: (a) Phase sequence and phase sequence indicators, (b) Ideal voltage and current sources, (c) Power factor correction techniques in industrial loads.
Appeared in:2082 Chaitra2080 Baishakh2076 Bhadra

Inductance, Capacitance and Energy Storage

5 Questions
#1Repeated 3 Times[6 Marks]Inductance, Capacitance and Energy Storage
Define self-inductance ($L$), mutual inductance ($M$), and coefficient of coupling ($k = M/\sqrt{L_1 L_2}$). Explain the dot convention for determining polarity in coupled coils.
Appeared in:2083 Baishakh2082 Chaitra2080 Chaitra
#2Repeated 3 Times[8 Marks]Inductance, Capacitance and Energy Storage
Derive the equivalent inductance for two magnetically coupled coils connected in: (a) series-aiding ($L = L_1 + L_2 + 2M$), (b) series-opposing ($L = L_1 + L_2 - 2M$), and parallel aiding/opposing.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#3Repeated 3 Times[8 Marks]Inductance, Capacitance and Energy Storage
Two mutually coupled coils have $L_1 = 0.4\text{ H}$, $L_2 = 0.9\text{ H}$, and $k = 0.6$. If coil 1 carries $i_1 = 5\sin(100t)\text{ A}$, find the induced voltage in coil 2 on open circuit and when connected to a $20\,\Omega$ resistor.
Appeared in:2081 Bhadra2079 Baishakh2076 Bhadra
#4Repeated 3 Times[6 Marks]Inductance, Capacitance and Energy Storage
Explain conductive and inductive coupling. Draw the conductive equivalent T-network and $\pi$-network for two magnetically coupled inductors sharing a common node.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#5Repeated 3 Times[8 Marks]Inductance, Capacitance and Energy Storage
Explain the ideal linear transformer model. Derive expressions for reflected impedance ($Z_{in} = Z_1 + \frac{\omega^2 M^2}{Z_2 + Z_L}$) and output voltage across load impedance.
Appeared in:2083 Baishakh2081 Chaitra2079 Baishakh

Sinusoidal Steady-State AC Analysis and Phasors

4 Questions
#1Repeated 4 Times[8 Marks]Sinusoidal Steady-State AC Analysis and Phasors
Define RMS value, Average value, Form Factor, and Crest (Peak) Factor. Derive the RMS and Average values of a half-wave rectified sinusoidal waveform and a triangular waveform.
Appeared in:2083 Baishakh2082 Chaitra2080 Chaitra2076 Chaitra
#2Repeated 3 Times[6 Marks]Sinusoidal Steady-State AC Analysis and Phasors
Define active power ($P$), reactive power ($Q$), apparent power ($S$), and complex power ($\mathbf{S} = \mathbf{V} \mathbf{I}^*$). Draw the power triangle and explain the physical meaning of lagging and leading power factor.
Appeared in:2081 Bhadra2079 Baishakh2077 Magh
#3Repeated 3 Times[8 Marks]Sinusoidal Steady-State AC Analysis and Phasors
A load of $(20 + j15)\,\Omega$ is connected across a $230\text{ V}, 50\text{ Hz}$ supply. Calculate active power, reactive power, and power factor. Determine the rating of a parallel shunt capacitor required to raise the power factor to $0.95$ lagging.
Appeared in:2082 Bhadra2080 Baishakh2076 Bhadra
#4Repeated 3 Times[6 Marks]Sinusoidal Steady-State AC Analysis and Phasors
Explain phasor algebra: rectangular, polar, and exponential representations. Draw complete phasor diagrams showing branch currents, line current, and component voltages for an R-L-C parallel circuit.
Appeared in:2083 Baishakh2081 Chaitra2078 Bhadra

Resonance in Series and Parallel RLC Circuits

4 Questions
#1Repeated 4 Times[8 Marks]Resonance in Series and Parallel RLC Circuits
Explain series resonance in an R-L-C circuit. Derive expressions for resonant frequency ($f_0 = \frac{1}{2\pi \sqrt{LC}}$), half-power frequencies ($f_1, f_2$), bandwidth ($BW = f_0/Q$), and quality factor ($Q = \frac{\omega_0 L}{R}$).
Appeared in:2082 Chaitra2080 Chaitra2079 Chaitra2075 Chaitra
#2Repeated 3 Times[8 Marks]Resonance in Series and Parallel RLC Circuits
In a series R-L-C circuit, $R = 10\,\Omega$, $L = 50\text{ mH}$, and $C = 10\,\mu\text{F}$. Determine resonant frequency, quality factor, half-power bandwidth, and maximum voltages across $L$ and $C$ when connected to a $100\text{ V}$ AC source.
Appeared in:2083 Baishakh2081 Bhadra2078 Chaitra
#3Repeated 3 Times[8 Marks]Resonance in Series and Parallel RLC Circuits
Explain parallel resonance (anti-resonance) in a tank circuit consisting of an inductor with internal resistance in parallel with an ideal capacitor. Derive the expression for resonant frequency and dynamic impedance ($Z_d = L/(CR)$).
Appeared in:2082 Bhadra2080 Baishakh2077 Chaitra
#4Repeated 3 Times[6 Marks]Resonance in Series and Parallel RLC Circuits
Compare series and parallel resonance with respect to impedance at resonance, current at resonance, power factor, and voltage/current magnification factor.
Appeared in:2081 Chaitra2079 Chaitra2076 Chaitra

Three-Phase Balanced and Unbalanced Circuits

7 Questions
#1Repeated 4 Times[8 Marks]Three-Phase Balanced and Unbalanced Circuits
Explain the advantages of three-phase systems over single-phase systems. Derive the relations between line voltage and phase voltage, line current and phase current for balanced star and delta connections.
Appeared in:2082 Bhadra2081 Baishakh2078 Chaitra2075 Bhadra
#2Repeated 4 Times[8 Marks]Three-Phase Balanced and Unbalanced Circuits
Explain the two-wattmeter method for measuring total active and reactive power in a 3-phase balanced load. Derive formulas for total power ($P = W_1 + W_2$) and power factor angle ($\tan \phi = \sqrt{3} \frac{W_1 - W_2}{W_1 + W_2}$).
Appeared in:2083 Baishakh2081 Bhadra2077 Chaitra2074 Bhadra
#3Repeated 3 Times[8 Marks]Three-Phase Balanced and Unbalanced Circuits
A balanced 3-phase star-connected load of $(12 + j16)\,\Omega$ per phase is connected to a $400\text{ V}, 50\text{ Hz}$ supply. Find phase voltage, phase current, line current, total active power, reactive power, and power factor.
Appeared in:2082 Chaitra2080 Chaitra2076 Chaitra
#4Repeated 3 Times[6 Marks]Three-Phase Balanced and Unbalanced Circuits
In a two-wattmeter test, the readings are $W_1 = 5\text{ kW}$ and $W_2 = -1.2\text{ kW}$. Determine: (a) total active power, (b) load power factor, (c) reactive power, and explain why $W_2$ reads negative.
Appeared in:2081 Chaitra2079 Chaitra2075 Chaitra
#5Repeated 3 Times[6 Marks]Three-Phase Balanced and Unbalanced Circuits
Explain star-delta and delta-star impedance conversion formulas. Solve for the equivalent star impedance of a delta network containing complex impedances $Z_A = 10\,\Omega$, $Z_B = j15\,\Omega$, $Z_C = -j20\,\Omega$.
Appeared in:2082 Bhadra2080 Baishakh2078 Chaitra
#6Repeated 3 Times[6 Marks]Three-Phase Balanced and Unbalanced Circuits
Explain unbalanced 3-phase 4-wire star-connected system. Calculate neutral wire current ($I_N = -(I_A + I_B + I_C)$) when phases A, B, C carry unequal single-phase loads.
Appeared in:2083 Baishakh2082 Chaitra2080 Chaitra
#7Repeated 3 Times[8 Marks]Three-Phase Balanced and Unbalanced Circuits
Explain unbalanced 3-phase 3-wire star-connected system using neutral displacement method (Millman's theorem for neutral voltage $V_{nN}$).
Appeared in:2081 Bhadra2079 Baishakh2077 Magh

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal
Chapter-wise Units & Micro-Syllabus Topics (7 Units)
  1. 1. Basic Circuit Concepts and Network Topology

    4
  2. 2. Circuit Analysis Techniques (Mesh and Nodal)

    6
  3. 3. Network Theorems in DC and AC Circuits

    8
  4. 4. Inductance, Capacitance and Energy Storage

    5
  5. 5. Sinusoidal Steady-State AC Analysis and Phasors

    8
  6. 6. Resonance in Series and Parallel RLC Circuits

    5
  7. 7. Three-Phase Balanced and Unbalanced Circuits

    9

Examination Scheme & Marks Distribution

Evaluation Structure

  • Final Board Theory Exam: 60 Marks (Pass mark: 24)
  • Internal Assessment: 40 Marks (Pass mark: 16)
  • Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)

* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.

Exam Preparation Guidelines

  • Review the available past examination paper to understand question styling, typical derivation topics, and marks allocation.
  • Practice drawing labeled circuit schematics, deriving transfer functions, and showing systematic mathematical steps.
  • Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.

Frequently Asked Questions (Electric Circuit I)

Q: How can I download Electric Circuit I past question papers?

You can preview or download the Electric Circuit I question papers (PDF) directly using the built-in viewer on this page with zero redirects or paywalls.

Q: What is the pass mark for Electric Circuit I?

The general current scheme is a 60-mark final theory exam and a 40-mark internal assessment, with pass marks of 24 and 16. Verify the course-specific syllabus above.

Q: Where can I find the complete syllabus for this subject?

The available chapter-wise syllabus and topic breakdown is indexed in the Syllabus section above, with links to the curriculum PDF source.

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Curriculum Syllabus & Marking Scheme