Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Tutorial
Module Offerings
4524USST-SEP-PAR
Aims
To enhance knowledge and understanding of the essential mathematics underpinning electrical and electronic engineering.
To develop intellectual abilities in selecting and applying appropriate circuit analysis techniques for analysing various electrical and electronic circuits.
To introduce passive electronic components and understand their operating characteristics.
To introduce the operating principles of single-phase transformers and electronic filters.
Learning Outcomes
1.
Understand the fundamental relationships governing electric circuits
2.
Employ circuit analysis techniques to solve series, parallel and series parallel dc and ac circuits
3.
Understand the different powers in ac circuits and perform calculations
4.
Analyse simple three-phase circuits
5.
Explain the operating principles of single-phase transformers and perform calculation to determine the operating efficiency of transformers
Module Content
Outline Syllabus:
Passive components, AC circuits and phasors:
Introduction to electric fields, permittivity, Capacitance, impedance of a capacitor.
Introduction to magnetic fields, self and mutual inductance, impedance of an inductor. Operating principles of
transformers.
Alternating current fundamentals, period, frequency and angular frequency. Peak, and rms values. Complex representation of sinusoidal quantities.
Phasors. Application of complex numbers in simple ac circuits. Powers in ac circuits. Complex-waveforms.
Resonance in simple series ac circuits. Series RLC circuit as a band-pass filter.
RC circuits as low-pass and high pass filters.
Circuit analysis techniques, steady-state dc and ac circuit analysis:
Kirchhoff's laws. Voltage and current divider rules.
The superposition principle.
Mesh current analysis. Nodal potential analysis.
Non-ideal current and voltage sources. Source transformations.
Thevenin’s and Norton’s equivalent circuits. Maximum power transfer theory.
Passive components, AC circuits and phasors:
Introduction to electric fields, permittivity, Capacitance, impedance of a capacitor.
Introduction to magnetic fields, self and mutual inductance, impedance of an inductor. Operating principles of
transformers.
Alternating current fundamentals, period, frequency and angular frequency. Peak, and rms values. Complex representation of sinusoidal quantities.
Phasors. Application of complex numbers in simple ac circuits. Powers in ac circuits. Complex-waveforms.
Resonance in simple series ac circuits. Series RLC circuit as a band-pass filter.
RC circuits as low-pass and high pass filters.
Circuit analysis techniques, steady-state dc and ac circuit analysis:
Kirchhoff's laws. Voltage and current divider rules.
The superposition principle.
Mesh current analysis. Nodal potential analysis.
Non-ideal current and voltage sources. Source transformations.
Thevenin’s and Norton’s equivalent circuits. Maximum power transfer theory.
Additional Information:
The material delivered in this module will be complimented by the practical skills module where students will undertake practical experiments to reinforce the material delivered in this module.
UNESCO Sustainable Development Goals
Quality Education
Gender Equality
Decent Work and Economic Growth
Reduced Inequalities
UK SPEC AHEP 4
CEng.
M1 Apply a comprehensive knowledge of mathematics, statistics, natural science and engineering principles to the solution of complex problems. Much of the knowledge will be at the forefront of the particular subject of study and informed by a critical awareness of new developments and the wider context of engineering.
M2 Formulate and analyse complex problems to reach substantiated conclusions. This will involve evaluating available data using first principles of mathematics, statistics, natural science and engineering principles, and using engineering judgment to work with information that may be uncertain or incomplete, discussing the limitations of the techniques employed.
M3 Select and apply appropriate computational and analytical techniques to model complex problems, discussing the limitations of the techniques employed.
M4 Select and critically evaluate technical literature and other sources of information to solve complex problems.
M11 Adopt an inclusive approach to engineering practice and recognise the responsibilities, benefits and importance of supporting equality, diversity and inclusion.
M13 Select and apply appropriate materials, equipment, engineering technologies and processes, recognising their limitations.
M16 Function effectively as an individual, and as a member or leader of a team. Evaluate effectiveness of own and team performance.
M18 Plan and record self-learning and development as the foundation for lifelong learning/CPD.
IEng.
B1 Apply knowledge of mathematics, statistics, natural science and engineering
principles to broadly-defined problems. Some of the knowledge will be informed by current developments in the subject of study.
B2 Analyse broadly-defined problems reaching substantiated conclusions using first principles of mathematics, statistics, natural science and engineering principles.
B3 Select and apply appropriate computational and analytical techniques to model broadly-defined problems, recognising the limitations of the techniques employed.
B4 Select and evaluate technical literature and other sources of information to address broadly-defined problems.
B13 Select and apply appropriate materials, equipment, engineering technologies and processes.
B16 Function effectively as an individual, and as a member or leader of a team.
B18 Plan and record self-learning and development as the foundation for lifelong learning/CPD.
The material delivered in this module will be complimented by the practical skills module where students will undertake practical experiments to reinforce the material delivered in this module.
UNESCO Sustainable Development Goals
Quality Education
Gender Equality
Decent Work and Economic Growth
Reduced Inequalities
UK SPEC AHEP 4
CEng.
M1 Apply a comprehensive knowledge of mathematics, statistics, natural science and engineering principles to the solution of complex problems. Much of the knowledge will be at the forefront of the particular subject of study and informed by a critical awareness of new developments and the wider context of engineering.
M2 Formulate and analyse complex problems to reach substantiated conclusions. This will involve evaluating available data using first principles of mathematics, statistics, natural science and engineering principles, and using engineering judgment to work with information that may be uncertain or incomplete, discussing the limitations of the techniques employed.
M3 Select and apply appropriate computational and analytical techniques to model complex problems, discussing the limitations of the techniques employed.
M4 Select and critically evaluate technical literature and other sources of information to solve complex problems.
M11 Adopt an inclusive approach to engineering practice and recognise the responsibilities, benefits and importance of supporting equality, diversity and inclusion.
M13 Select and apply appropriate materials, equipment, engineering technologies and processes, recognising their limitations.
M16 Function effectively as an individual, and as a member or leader of a team. Evaluate effectiveness of own and team performance.
M18 Plan and record self-learning and development as the foundation for lifelong learning/CPD.
IEng.
B1 Apply knowledge of mathematics, statistics, natural science and engineering
principles to broadly-defined problems. Some of the knowledge will be informed by current developments in the subject of study.
B2 Analyse broadly-defined problems reaching substantiated conclusions using first principles of mathematics, statistics, natural science and engineering principles.
B3 Select and apply appropriate computational and analytical techniques to model broadly-defined problems, recognising the limitations of the techniques employed.
B4 Select and evaluate technical literature and other sources of information to address broadly-defined problems.
B13 Select and apply appropriate materials, equipment, engineering technologies and processes.
B16 Function effectively as an individual, and as a member or leader of a team.
B18 Plan and record self-learning and development as the foundation for lifelong learning/CPD.