EEE Term Exam Questions

eee-1109 EEE-1109 Basic Electrical Engineering This categorization is based on the contents of the “Basic Electrical Engineering” (EEE 1109) term exams provided for the years 2016, 2017, 2018, 2019, 2022, 2023, and 2024.

DC CIRCUIT FUNDAMENTALS AND BASIC LAWS

1.1 Definitions and Properties

Definition/Statement	Year(s) of Appearance
Define active element.	2016, 2017, 2019, 2023
Define passive element/network.	2016, 2017, 2019, 2023
Define unilateral circuit/element.	2016, 2018, 2022
Define bilateral circuit/element.	2016, 2018, 2019
Define mesh (with proper example).	2016, 2019, 2022
Define loop (with proper example).	2017, 2019, 2022
Define node.	2017, 2022
Define linear circuit.	2017, 2018, 2019
Define nonlinear circuit.	2017, 2018, 2019
Define electric circuit.	2022
Define Branch (along with drawing/circuit diagram).	2022
Define active components.	2022

1.2 Basic Laws and Sources


Question/Task	Year(s) of Appearance
State and explain the basic laws of electrical engineering.	2016
Explain Ohm’s law. What are the limitations of Ohm’s law?	2017
State and explain the Kirchhoff’s current law (KCL) and Kirchhoff’s voltage law (KVL).	2023, 2024

Definition/Statement	Year(s) of Appearance
Classify energy sources. Also show their characteristics curves in both ideal and practical cases.	2016
Define independent source and dependent source.	2016, 2019, 2024
Classify dependent sources.	2024
Differentiate between primary cell and secondary cell/Write short note on primary cell and secondary cell.	2016, 2018, 2019
Write down the properties of open and short circuits.	2017
Classify network with practical examples.	2017
Distinguish between Active vs. Passive, Bilateral vs. Unilateral, Linear vs. Nonlinear circuit elements.	2018
What is the basic difference between dc and ac?	2017

DC CIRCUIT ANALYSIS AND NETWORK THEOREMS

2.1 Maximum Power Transfer Theorem (MPT)

Question/Task	Year(s) of Appearance
Deduce the condition for maximum power transfer. Hence, show that power transfer efficiency is 50% under maximum power transfer condition. Why maximum power transfer condition is important for communication engineering?	2016, 2018, 2019
Derive the condition for maximum power transfer theorem. Write some applications of maximum power transfer theorem.	2017
Deduce the condition for maximum power transfer. Find the efficiency under maximum power transfer condition. Why this condition is important in communication applications?	2023
Deduce the condition for maximum power transfer. Also show that the maximum efficiency of power transfer can reach up to 50% only.	2022
Determine the values of $R_{L}$ for maximum power transfer in the circuit of Fig. 2(c). Calculate the maximum power. (Calculation question)	2024

2.2 Network Theorems (Thevenin, Norton, Superposition, Reciprocity, Millman)

Question/Task	Year(s) of Appearance
State superposition theorem. Find the voltage across the $2Ω$ resistor in figure 2(b) by using superposition theorem.	2016
State superposition theorem. Find the current through $10Ω$ resistor using superposition theorem.	2017
Find the voltage across the $2Ω$ resistor ( $V_{A B}$ ) in the following figure by using the superposition theorem.	2018
State superposition theorem. Determine the current (I) through the $2Ω$ resistor following circuit using the superposition theorem.	2019
State superposition theorem. Find the current through $10Ω$ resistor using superposition theorem for the circuit shown in Fig. 2(c).	2022
Determine the $V_{x}$ and I for the network shown in Fig. 2(b) using superposition theorem.	2023
State Norton’s theorem. For the circuit shown in figure 3(a), find: (i) Thevenin equivalent circuit (ii) Norton equivalent circuit.	2016
State Norton’s theorem. For the circuit as given below, find: i) Thevenin equivalent circuit ii) Norton equivalent circuit.	2018
Find the Thevenin equivalent of the circuit given below at terminals a-b.	2019
Find the Thevenin’s equivalent circuit between the terminals A and B.	2017
Find the Thevenin equivalent between terminals a and b of Fig. 3(b).	2023
Determine the Thevenin’s equivalent circuit as viewed from the open-circuit terminals a and b of the network shown in Fig. 3(b).	2024
Find the Norton equivalent circuit between the terminals A and B of the circuit shown in Fig. 3(b).	2022
Find the Norton equivalent of the circuit in Fig. 3(c) to the left of terminals a-b. Use the result to find current $I$ .	2024
State Millman theorem. Find the current and voltage through $R_{L}$ of the network shown in figure 2(c) using Millman theorem.	2016
State the Reciprocity and Millman’s theorem. Verify the Reciprocity theorem for the given circuit shown in Fig. 4(a).	2018
State reciprocity theorem. Use source conversion technique to find the voltage $v_{x}$ for the following network.	2019
State the reciprocity theorem. Determine the current through the $5Ω$ resistor using Norton’s theorem for the circuit shown in Fig. 3(c).	2023

2.3 DC Circuit Analysis (Nodal, Mesh, Y- $Δ$ Conversion)


Question/Task	Year(s) of Appearance
Determine the current across the $6Ω$ resistance using nodal analysis. Also determine nodal voltage V1 and V2.	2016
Draw a circuit with 3 nodes… Write the node equation of this circuit.	2017
Derive the node voltage equations and determine the current in each branch for the circuit shown in Fig. 2(c).	2018
What is supernode? Using the supernode approach, determine the nodal voltages for the following network.	2018
Determine the nodal voltages and branch currents of the network shown in Fig. 2(b).	2019
Determine the voltage at the nodes in the Figure below (Nodal analysis).	2022
Determine node voltages and current $i$ using nodal analysis for the network shown in Fig. 1(c).	2023
Determine $V_{1}$ and $V_{2}$ in the circuit in Fig. 2(a) utilizing Nodal Analysis.	2024
Find the loop current for the following circuit using loop current or mesh current method.	2017, 2019
Calculate the mesh current $I_{1}, I_{2}$ , and $I_{3}$ of the following circuit shown in Fig 2(a).	2018
Determine the current flowing through each of the resistors using mesh analysis.	2022
Calculate the mesh current for the circuit shown in Fig. 3(a) using loop analysis.	2023
Determine $I_{1}, I_{2}$ , and $I_{3}$ for the network in Fig. 1(c) using mesh analysis.	2024
Describe Y to $Δ$ and $Δ$ to Y conversion process. Find the equivalent resistance between terminals A and B.	2017
Deduce the expression for Y- $Δ$ and $Δ$ -Y conversions. Using such conversion, find the current I of the following network.	2018
Deduce the expression for Y- $Δ$ and $Δ$ -Y conversions of a resistive network.	2022
Calculate $I_{x}$ in the circuit of Fig. 4(a) utilizing the process of Wye-Delta transformation.	2024
Find the load current through $7Ω$ resistor for the circuit shown in Fig. 1(d) using source conversion technique.	2023

MAGNETIC CIRCUITS AND COUPLING

3.1 Fundamental Concepts, Laws, and Comparisons


Definition/Statement	Year(s) of Appearance
Define reluctance.	2016, 2017, 2018, 2019, 2024
Define permeability.	2017, 2018, 2019
Define permeance.	2016
Define mmf (Magnetomotive Force).	2016
Define Flux density.	2024
Define Magnetizing force.	2024
What are the basic differences between electric circuit and magnetic circuit? / Differentiate between electrical circuit and magnetic circuit.	2016, 2017, 2019, 2023


Question/Task	Year(s) of Appearance
State and explain the Ampere’s circuital law (for magnetic circuit).	2017, 2019, 2022, 2023
State and explain Biot savart law for a magnetic circuit.	2017, 2019
Show that the magnetic flux density at any specified distance from a long straight current carrying conductor is $B = μ I /2 π r$ . (Derivation)	2016
Write down some applications of magnetic circuit.	2019

3.2 Losses and Hysteresis


Question/Task	Year(s) of Appearance
Explain hysteresis loss and eddy current loss. How to minimize these losses?	2016
Explain hysteresis loss and eddy current loss in a magnetic circuit.	2018, 2022
What is hysteresis loop? Show the difference between soft and hard materials using a hysteresis loop with coercive force and retentivity.	2023

3.3 Coupling and Energy


Question/Task	Year(s) of Appearance
Define magnetic coupling. Derive the expression of the coefficient of magnetic coupling.	2016, 2019
Define coupled circuits.	2022, 2023
Derive the expression of coefficient of magnetic coupling and show that the maximum value of the coefficient of magnetic coupling could be unity.	2023
Derive the expression of energy stored in a toroid and show that $W = 1/2 B^{2} l / μ_{0}$ .	2016

3.4 Magnetic Calculations


Question/Task	Year(s) of Appearance
Determine the secondary current $I_{2}$ for the transformer… if the flux in the core is $1.5 \times 1 0^{- 5}$ Wb.	2016
Find the magnetomotive force around a long straight conductor.	2017
Find the current I required to established a flux $Φ = 2.4 \times 1 0^{- 4}$ Wb in the magnetic circuit shown.	2018
Find the magnetic flux $Φ$ for the series magnetic circuit in the following figure for the specified impressed mmf.	2019
Find the current I required to establish a magnetic flux (Calculation based on core dimensions and turns).	2022
Determine the current that the 500 turn-magnetising coil on the left limb should carry so that a flux of $5 \times 1 0^{- 4}$ Wb is produced in the right limb.	2023
A rectangular iron core is shown… Find the flux in the air gap.	2024

AC FUNDAMENTALS AND SINGLE PHASE CIRCUITS

4.1 Basic Concepts (AC Necessity, Phase, RMS/Average)


Definition/Statement	Year(s) of Appearance
Define alternating circuit/current (ac).	2016, 2017, 2018, 2019
Why generation/necessity of alternating current is necessary?	2016, 2017, 2022
What is phase?	2018
Define Period, Cycle, and Angular velocity.	2019
Define RMS value/Effective value.	2016, 2018, 2024
Define Average value.	2024
Define Peak factor.	2024


Question/Task	Year(s) of Appearance
Write down the advantages of ac systems over dc systems.	2018, 2019
Determine the rms and average values of a semi-circular current wave.	2017
Find the phase difference between $v = 100 cos (ω t - 6 0^{\circ})$ and $i = 10 sin (ω t - 6 0^{\circ})$ . Which wave leads? (Waveform drawing required)	2018
Find the phase difference between $v = 310 sin (ω t - 6 0^{\circ})$ and $i = - 310 cos (ω t - 4 5^{\circ})$ . Which wave leads?	2019
Find the phase difference between $v = 100 sin (ω t - 5 0^{\circ})$ and current $i = 80 sin (ω t - 3 0^{\circ})$ . Which wave leads?	2022

4.2 AC Wave Parameters (Form Factor, Crest Factor)


Question/Task	Year(s) of Appearance
Show that the crest factor of a sine wave is $2$ and the form factor is 1.11.	2016, 2018
Define form factor and crest factor. Find the form and crest factor of a sinusoidal ac waveform.	2017
Define form factor. Explain the physical significance of form factor and crest factor.	2019, 2022
Find the form factor for the following voltage wave as shown in figure 6(b).	2016
Calculate the form factor and crest factor for a half-wave rectified wave.	2023

4.3 AC Power Concepts


Definition/Statement	Year(s) of Appearance
Define real power, reactive power, and apparent power.	2017, 2022
Define power factor/Reactive factor.	2018, 2024
What is power triangle?	2017


Question/Task	Year(s) of Appearance
Show the expression of energy delivered and received for purely inductive and capacitive branch respectively for a quarter cycle.	2016, 2017, 2018
Show the power variations of purely inductive and capacitive branch for a single phase system.	2016
Show that the average power consumed by inductance or capacitance is zero/Show that “power absorbed in a pure capacitor is zero”.	2017, 2023
Define power. Describe the sign convention of power with example. Sketch the plot of power dissipation…	2022
Write the equation of instantaneous power of a RL branch and also show its different components and resultant power by graphically.	2019, 2022
Explain how the power factor can be improved. / Explain how power factors can be improved using power triangle.	2017, 2018

4.4 Complex Numbers and Phasor Operations


Question/Task	Year(s) of Appearance
For the following equation, evaluate $α$ and $β$ (Complex number calculation).	2016
Find all the possible roots of a complex number expression.	2017, 2019, 2022, 2023, 2024
”Multiplication and division operations of phasers are suitable in polar form”-justify the statement.	2018
Using the phasor approach, determine the current $i (t)$ in a circuit described by the integrodifferential equation.	2023
Evaluate the complex number (Calculation involving polar and rectangular forms).	2024
Find the sinusoids corresponding to the following phasors.	2024

4.5 Single Phase Calculations and Admittance


Question/Task	Year(s) of Appearance
If $R$ , $L$ , $C$ are given, find impedance and expression of current for an RLC circuit.	2016
A series circuit consist of two pure elements has the following current and voltage… Find the elements in the circuit.	2016, 2024
For the given circuit… find: (i) conductance and susceptance of each branch (ii) the vector diagram.	2016, 2017, 2019
A series RLC circuit… Calculate (i) power factor of this circuit, (ii) Capacitor value.	2017, 2024
A resistance and capacitor in series. If voltage drop across the capacitor is given, find the equation of voltage drop and current for the entire circuit.	2017, 2022
Calculate the current, power, power factor, and VARs, and voltage drops across elements for an RLC circuit.	2018, 2019, 2022
Evaluate the expression for $i$ and $p$ for a series RL branch (Time domain).	2019
A 220V(rms), 50Hz is impressed on an inductor. Write down the time domain equation of voltage and current for it.	2024
Find the current $I$ in the circuit in Fig. 7(a). (AC circuit analysis)	2024
Calculate the applied voltage and the phase angle between V and the current for a series RLC circuit. (Vector Diagram required)	2022, 2023
An AC series circuit is shown… Find voltage across different elements, line current, power factor, etc. (Phasor diagram required)	2024

AC RESONANCE


Definition/Statement	Year(s) of Appearance
Define resonance.	2016, 2019
What is Quality factor, Q?	2017, 2022, 2023
Write down its significance/Describe its effect on bandwidth.	2022, 2023


Question/Task	Year(s) of Appearance
Prove that “In RLC series circuit the maximum voltage across the capacitor occurs below the resonant frequency and the maximum voltage across the inductor occurs above the resonant frequency”.	2016, 2019, 2022
Write down the condition for resonance in ac circuit and find the resonant frequency.	2018, 2022, 2023
Derive the expression for bandwidth of a series RLC selector circuit.	2018, 2019
”The frequency range for the pass band is $Δ f = R /2 π L$ for a RLC series circuit” - justify this. (Bandwidth justification)	2017
Describe the use of an RLC series circuit as a selector. Derive Q-factor, $Q_{0} = f_{0} L / R$ .	2018
Explain the effects of varying capacitance on the voltages and currents on a series RLC circuit and hence find the optimum capacitance for resonance.	2018
Determine the resonant frequency formula for an RLC series circuit and show the graphical representation of variations of R, $X_{L}$ , $X_{C}$ , Z, I, and PF with frequency.	2023
RLC series circuit calculation involving resonant frequency, current at resonance, and Q factor calculation.	2017, 2023
What are the conditions for series and parallel resonance? Draw the vector diagram of each resonance. Write down their applications.	2024

THREE PHASE (3- $Φ$ ) SYSTEMS

6.1 Fundamentals, Economy, and Advantages


Definition/Statement	Year(s) of Appearance
Define balanced $3Φ$ system.	2016, 2018, 2019
Define unbalanced $3Φ$ system.	2016, 2019
What are the advantages of using $3Φ$ system over $1Φ$ system?	2017, 2019, 2023, 2024


Question/Task	Year(s) of Appearance
Prove that $3Φ$ system is more economical than $1Φ$ and $4Φ$ system respectively.	2016, 2017, 2018
Draw the vector diagram of RLC series circuit at resonant condition. What is the value of power factor at this resonant condition?	2017
Show the voltages and currents relation for a star connected $3Φ$ system using vector diagram. Also find line and phase voltage and current relations.	2022, 2023

6.2 Phase Sequence and Power Measurement


Definition/Statement	Year(s) of Appearance
Define phase sequence.	2016, 2018, 2019


Question/Task	Year(s) of Appearance
Explain the two lamp method of determining phase sequence of a $3Φ$ system.	2016, 2018, 2019
How phase sequence can be determined for a 3-phase supply? Explain your answer with voltmeter method.	2017, 2023
Explain the two-wattmeter method of measuring power of a $3Φ$ system (with derivations).	2018, 2023, 2024

6.3 Three Phase Calculations


Question/Task	Year(s) of Appearance
A $3Φ$ motor in parallel with a balanced delta load… Find total VA, power, line current and power factor of the combination.	2016, 2017
A balanced star connected load having an impedance of $15 + j 20Ω$ in each phase is connected to a $3Φ$ , 440 V, 50 Hz supply. Find the line currents and the power absorbed by the load.	2018, 2019, 2022, 2024
A balanced delta connected load having an impedance is connected to a $Δ$ -connected generator. Calculate the phase currents of the load and the line currents.	2024

007_index

EEE Term Exam Questions

Graph View