UNIVERSITY OF TECHNOLOGY, JAMAICA Faculty of Engineering and Computing School of Engineering

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1 UNIVERSITY OF TECHNOLOGY, JAMAICA Faculty of Engineering and Computing School of Engineering SYLLABUS OUTLINE FACULTY: SCHOOL/DEPT: COURSE OF STUDY: Engineering and Computing Engineering Diploma in Electrical Engineering LEVEL: 1 MODULE TITLE: Electrical Engineering Science MODULE CODE: ELE 1002 DURATION (HOURS): 75 CREDIT VALUE: 3 PRE-REQUISITES: EXEMPTIONS: A pass in CSEC Physics, or the equivalent A pass in CAPE Physics, or the equivalent 1.0 MODULE DESCRIPTION This module introduces the student to the fundamental principles and components of electric circuits. The behavior of resistors, capacitors, and inductors in d.c. and a.c. circuits are examined, along with the principles related to magnetism, electromagnetism, and electromagnetic induction. The module also enables the student to analyze complex d.c. circuits. 2.0 MODULE OBJECTIVES/LEARNING OUTCOMES Upon completion of the module, students should be able to: 1. Describe the electrical properties of conductors, insulators, and semi-conductors. 2. Describe the construction and electrical properties of capacitors, inductors, and two types of resistors the carbon and the wire-wound resistors. 3. Describe the charging and discharging of a capacitor. 4. Describe the process of electromagnetic induction in an inductor. Page 1 of 9

2 5. Draw electrical circuit diagrams for circuits consisting of voltage source(s), resistors, capacitors, and inductors. 6. Draw sinusoidal waveforms and phasor diagrams. 7. Perform experiments to determine the electrical parameters of d.c. and a.c. circuits. 8. Calculate various electrical parameters, and parameters related to magnetic lines of flux. 3.0 MODULE CONTENT AND CONTEXT Unit 1 Components of Electric Circuits Upon completion of Unit 1, the student should be able to: 1.1 Name common electrical conductors, insulators, and semiconductor materials. 1.2 Draw the electrical symbols of conductor, resistor, variable resistor, cell, battery, ammeter, voltmeter, and the ohmmeter. 1.3 Describe conductors, insulators, and semiconductors according to their basic atomic structure, and their electrical properties of resistance and resistivity. 1.4 Graphically show the effect of changes in temperature on the resistance of conductors, semiconductors, and insulators. 1.5 Determine the ohmic value of a resistor using a resistor colour code scheme. 1.6 Describe how the factors (length, cross-sectional area, resistivity, and temperature) affect the resistance of a conductor. 1.7 Describe the construction and electrical properties of two types of resistors the carbon and the wire-wound resistors. 1.8 Describe the cell/battery as a source of electrical energy and as an electromotive force in series with an internal resistance. 1.9 Draw circuit diagrams to show how the ammeter, voltmeter, and the ohmmeter are to be connected in a circuit containing a voltage source, and two or three resistors connected in series Calculate resistance of a conductor given its length, cross-sectional area, and its resistivity Calculate the resistance of a conductor at various temperatures. Description of the types of materials (conductors, insulators, and semiconductors) used in electrical circuits. Representations of electrical symbols such as conductor, resistor, variable resistor, cell, battery, ammeter, voltmeter, and the ohmmeter. Determination of the ohmic value of a resistor using a resistor colour code scheme. Description of the effects of changes in temperature on the resistance of conductors, semiconductors, and insulators. Description of how the factors (length, cross-sectional area, resistivity, and temperature) affect the resistance of a conductor. Page 2 of 9

3 Description of the construction and electrical properties of two types of resistors the carbon and the wire-wound resistors. Description of the cell/battery as a source of electrical energy and as an electromotive force in series with an internal resistance. Drawing of circuit diagrams to show how the ammeter, voltmeter, and the ohmmeter are to be connected in a circuit containing a voltage source, and two or three resistors connected in series. Calculation of the resistance of a conductor given its physical properties of length, cross-sectional area, and resistivity. Calculation of the resistance of a conductor at various temperatures. Unit 2 D.C. Circuits consisting of a Voltage Source and Resistors only Upon completion of Unit 2, the student should be able to: 2.1 State Ohm s Law. 2.2 State the relationships between voltage, current, and resistance. 2.3 Explain the effect of temperature on Ohm s Law. 2.4 Explain Ohm s Law using the I vs V graph. 2.5 Measure resistance, voltages, and currents in purely resistive d.c. circuits. 2.6 Graphically show how the terminal voltage of a cell/battery changes from unloaded (no-load) to loaded conditions. 2.7 Calculate electrical parameters such as voltages, currents, resistances, and power using the multiples and sub-multiples of their units of measurement. 2.8 Calculate the total resistance in a circuit of resistors connected in series, parallel, and in series-parallel configurations. 2.9 Calculate the terminal voltage of a cell/battery, voltage-drops, current, and power in purely resistive d.c. circuits with the resistors connected in various configurations Predict the value of current flow, and power consumption, when the value of the voltage is changed in a purely resistive d.c. circuit. Statement and explanation of Ohm s Law. Explanation of the effect on temperature on resistance. Description of how electrical parameters such as voltage, current, and resistance are determined experimentally in a purely resistive d.c. circuit. Measurement of voltage, current, and resistance in purely resistive d.c. circuits, in laboratory exercises. Usage of experimental data to plot I vs V graphs. Calculation of electrical parameters such as voltages, currents, resistances, and power using the multiples and sub-multiples of their units of measurement. Calculation and graphical representation of how the terminal voltage of a cell/battery changes from unloaded (no-load) to loaded conditions. Page 3 of 9

4 Calculation of the electrical parameters such as terminal voltage, voltage-drops, current, power, and resistance in series, parallel, and series-parallel purely resistive circuits. Prediction of the value of current flow, and power consumption in purely resistive d.c. circuits, using the I vs V graph. Unit 3 Applying Kirchhoff s Laws in Purely Resistive D.C. Circuits with one or two Voltage Sources Upon completion of Unit 3, the student should be able to: 3.1 State Kirchhoff s Current and Voltage Laws. 3.2 Identify nodes, branches, and voltage loops in purely resistive parallel and seriesparallel circuits. 3.3 Deduce equations of currents using Kirchhoff s Current Law for purely resistive parallel and series-parallel circuits. 3.4 Deduce equations of voltages using Kirchhoff s Voltage Law for purely resistive parallel and series-parallel circuits. 3.5 Calculate parameters such as currents, voltage-drops, and power flow using Kirchhoff s Current and Voltage Laws, and Ohm s Law in purely resistive parallel and series-parallel circuits. 3.6 Verify experimental data using Kirchhoff s Current and Voltage Laws, and Ohm s Law in purely resistive parallel and series-parallel circuits. Statement of Kirchhoff s Current and Voltage Laws. Identification of nodes, branches, and voltage loops in purely resistive parallel and series-parallel circuits. Deduction of equations of currents using Kirchhoff s Current Law for purely resistive parallel and series-parallel circuits. Deduction of equations of voltages using Kirchhoff s Voltage Law for purely resistive parallel and series-parallel circuits. Calculation of parameters such as currents, voltage-drops, and power flow using Kirchhoff s Current and Voltage Laws, and Ohm s Law in purely resistive parallel and series-parallel circuits. Verification of experimental data using Kirchhoff s Current and Voltage Laws, and Ohm s Law in purely resistive parallel and series-parallel circuits. Unit 4 Applying the Principle of Superposition in Purely Resistive D.C. Circuits with two Voltage Sources Upon completion of Unit 4, the student should be able to: 4.1 State the Superposition theorem. Page 4 of 9

5 4.2 Deduce equivalent circuits from the original circuit using one voltage source at a time. 4.3 Calculate currents in each section or branch of the equivalent circuits containing only one voltage source. 4.4 Superimpose the (two) separate equivalent circuits to calculate the currents in each section or branch of the original circuit. 4.5 Calculate parameters such as voltage drops and power flow in sections or branches of the original circuit. 4.6 Compare results obtained using the Principle of Superposition with those obtained using Kirchhoff s Laws. 4.7 Verify experimental data using the Principle of Superposition. Statement of the Superposition Theorem. Application of the Principle of Superposition to solve parameters such as currents, voltage-drops, and power flow in purely resistive d.c. circuits with two voltage sources. Verification of results obtained using the Principle of Superposition by comparing them with those obtained by the use of Kirchhoff s Laws. Verification of experimental data using the Principle of Superposition. Unit 5 Capacitors and Capacitance Upon completion of Unit 5, the student should be able to: 5.1 Name common dielectric materials. 5.2 Define properties such as capacitance, electric field strength, electric flux density, the permittivity of free space, relative permittivity, absolute permittivity, and dielectric strength. 5.3 Draw the symbols of a capacitor and a variable capacitor. 5.4 Describe an electrostatic field. 5.5 Describe the construction of a two-plate capacitor. 5.6 Describe the charging of a capacitor in a circuit consisting of only a d.c. voltage source and a capacitor. 5.7 Describe the discharging of a capacitor and the precautions necessary when doing so. 5.8 Calculate parameters such as charge, charging current, discharging current, electric field strength, electric flux density, capacitance, the potential difference between the plates, and the energy stored in a capacitor. 5.9 Calculate the capacitance of a capacitor with n parallel plates Calculate the total capacitance of capacitors connected in series, parallel, and seriesparallel configurations Calculate the potential difference across capacitors connected in series, parallel, and series-parallel configurations. Page 5 of 9

6 Definition of properties such as capacitance, electric field strength, electric flux density, the permittivity of free space, relative permittivity, absolute permittivity, and dielectric strength. Description of the construction of a capacitor and the different types of dielectrics used. Description of the charging of a capacitor in a d.c. circuit Description of the discharging of a capacitor Calculation of parameters such as charge, charging current, discharging current, electric field strength, electric flux density, capacitance, the potential difference between the plates, and the energy stored in a two-plate capacitor, or one with n parallel plates. Calculation of parameters such as the potential difference across capacitors, and the total capacitance of capacitors connected in series, parallel, and series-parallel configurations. Unit 6 Magnetism, Electromagnetism and Electromagnetic Induction Upon completion of Unit 6, the student should be able to: 6.1 Name the sources of magnetic lines of flux. 6.2 State Faraday s Laws of Electromagnetic Induction. 6.3 Define magnetic flux, flux density, and inductance. 6.4 Describe the properties of magnetic lines of flux. 6.5 Determine the direction of the magnetic lines of flux around a straight currentcarrying conductor using the right hand (grip) rule or the corkscrew rule. 6.6 Determine the direction of the magnetic field in a solenoid or coil of wire carrying a current using the right hand (grip) rule or the corkscrew rule. 6.7 Draw diagrams of the magnetic lines of flux produced by a current-carrying conductor. 6.8 Determine the direction of the force on a current-carrying conductor in a magnetic field using Fleming s Left Hand Rule. 6.9 Describe an inductor and draw its symbol Describe the process and effect of electromagnetic induction in a coil Calculate the force on a current-carrying conductor in a magnetic field Calculate flux, flux density, inductance, induced e.m.f., and the energy stored in a coil/inductor. Identification of permanent magnets and the electric current as sources of magnetic lines of flux. Definition of terms related to magnetism such as magnetic lines of flux and flux density. Discussion of electromagnetism and its effects, as it relates to current flowing in a straight conductor, in a solenoid/coil/inductor, and in a current-carrying conductor placed in a magnetic field. Page 6 of 9

7 Statement and application of Faraday s Laws of Electromagnetic Induction, the right hand (grip) rule, and of Fleming s Left Hand Rule Description of an inductor. Description of the process and effect of electromagnetic induction in a coil. Calculations of parameters related to magnetism, electromagnetism, and electromagnetic induction, such as the force on a current-carrying conductor in a magnetic field, flux, flux density, inductance, induced e.m.f., and the energy stored in an inductor. Unit 7 Single-Phase Series A.C. Circuits Upon completion of Unit 7, the student should be able to: 7.1 State the source of alternating voltages and currents. 7.2 Define inductive reactance, capacitive reactance, impedance, and phasors. 7.3 Convert angles from degrees to radians and vice versa. 7.4 Plot sinusoidal waveforms of the form: = ± ; = ± ; = ± ; and = ±. Note that: θ is in degrees, is in rads/s, and is the phase angle. 7.5 Draw waveforms and phasors to illustrate the concepts of lagging, leading, and inphase. 7.6 Draw circuit diagrams, waveforms, and phasors for purely resistive, purely inductive, and purely capacitive a.c. circuits. 7.7 Draw the circuit diagrams, impedance and the power triangles for R-L, R-C, and R-L-C series circuits. 7.8 Calculate root mean square (r.m.s.) or the effective voltage, peak-to-peak voltage, r.m.s. current, peak-to-peak current, frequency, periodic time, and phase angle. 7.9 Calculate parameters such as inductive reactance, capacitive reactance, impedance, current, active power, reactive power, apparent power, power factor, and phase angle, using Pythagoras theorem, trigonometric ratios, complex numbers, and =, as applicable. Note: Use the supply voltage phasor as the reference phasor. Identification of the a.c. generator as the source for a.c. voltages and currents. Definition of inductive reactance, capacitive reactance, impedance, and phasors. Conversion of angles from degrees to radians and vice versa. Representation of sinusoidal waveforms of the form: = ± ; = ± ; = ± ; and = ±. Representation of circuit diagrams, waveforms, phasors, impedance triangles, and power triangles for R, L, C, R-L, R-C, R-L-C series circuits as applicable. Calculation of parameters such as root mean square (r.m.s.) or the effective voltage, peak-to-peak voltage, r.m.s. current, peak-to-peak current, frequency, periodic time, phase angle, inductive reactance, capacitive reactance, impedance, current, active power, reactive power, apparent power, power factor, and phase Page 7 of 9

8 angle, using Pythagoras theorem, trigonometric ratios, complex numbers, and, as applicable. = 5.0 LEARNING AND TEACHING APPROACHES The classes will be conducted using an appropriate mixture of lectures, problem solving, laboratory work, demonstrations, group activities, and discussion. The instructional media to be used will include both print and electronic and will include textbooks, handouts, and multimedia presentations. Students are expected to study carefully the assigned materials, to practice assigned questions, and be fully prepared to contribute to in-class discussions. 6.0 ASSESSMENT PROCEDURES 001 Test 15% 002 Assignment 10% 003 Labs 15% 205 Final Examinations 60% Total 100% 7.0 BREAKDOWN OF HOURS Lecture/Tutorial 28 Labs 45 Test TEXTBOOKS AND REFERENCES Required Text: Bird, J. (2007). Electrical circuit theory and technology. Oxford, UK: Elsevier. Recommended Texts Hiley, J., Brown, K., & McKenzie-Smith, I. (2005). Hughes electrical and electronic technology. Harlow, England: Pearson Prentice Hall. Schultz, M.E. (2007). Grob s Basic Electronics. New York, NY: McGraw Hill. Wildi, T. (2006). Electrical machines, drives, and power systems. Upper Saddle River, NJ: Pearson Prentice Hall. Page 8 of 9

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