ENG 282IN - Basic Electric Circuits 5 Credits, 7 Contact Hours
4 lecture periods 3 lab periods
Introduction to the fundamentals of alternating current (AC) and direct current (DC) circuits. Includes circuit variables, circuit elements, simple resistive circuits, techniques of circuit analysis, the operational amplifier; inductance, capacitance, and mutual inductance; response of first-order resistor-inductor (RL) and resistor-capacitor (RC) circuits, natural and step responses of RLC circuits, and sinusoidal steady-state analysis.
Prerequisite(s): MAT 231 and PHY 216IN .
Corequisite(s): MAT 262
Course Learning Outcomes
- Demonstrate competence to apply Kirchhoff’s voltage law/Kirchhoff’s current law (KVL/KCL) to solve single node/loop circuit problems, such a finding an unknown voltage, current of power.
- Demonstrate the ability to apply v-i formulae for inductors and capacitors to find voltage when current is specified, and vice-versa.
- Demonstrate the ability to apply phasors to find Thevenin/Norton equivalents and solve mesh and mode problems in ac circuits.
- Demonstrate the ability to analyze all circuit responses using PSpice 16 and compare calculated values with laboratory measures values and explain the differences.
- Demonstrate the ability to analyze and test dimmer circuits, buffer circuits, current sources, RL, RC, and RLC circuits with transistors and operational amplifiers (OpAmps).
- Demonstrate the ability to organize and prepare written prelab papers and laboratory reports.
- Apply the passive sign convention to calculate power in an ideal circuit element and state whether the power is being absorbed or delivered.
- Apply parallel, series, and delta-wye relationships to find the equivalent resistance of complex resistor networks, and the equivalent source when sources are corrected in series and parallel.
- Use the principles of current and voltage division to design D’Arsonval voltmeters and ammeters, given the desired full-scale readings and any two of the meter movement parameters.
- Apply Kirchhoff’s voltage law/Kirchhoff’s current law (KVL/KCL) to solve single node/loop circuit problems, such as finding an unknown voltage, current or power.
- Write and solve Node Voltage Analysis and Mesh Current Analysis equations for circuits containing dependent and independent sources and resistors.
- Discuss opportunities for applying source transformations and explain why source transformations are useful in circuit analysis.
- Reduce complex circuits to Thevenin (or Norton) equivalent circuits, and explain the physical significance of the internal resistance and voltage (or current) quantities.
- List the essential terminal characteristics of an ideal op-amp, and apply these to calculate voltage and current quantities in op-amp circuits with and without feedback resistance connected.
- Apply v-i formulae for inductors and capacitors to find voltage when current is specified, and vice-versa; and find the equivalent component value when multiple capacitors and inductors are connected in series/parallel.
- Explain in both qualitative and quantitative terms why the state variable in an inductor or capacitor resists abrupt change.
- Apply the “FIFE” formula to find the value of any current or voltage in RL and RC circuits with switching events.
- Find the node voltage (parallel RLC) or loop current (series RLC) given a parallel or series resistor/inductor/capacitor (RLC) circuit, the circuit’s initial conditions, and a step excitation.
- Write any given sinusoid as a phasor, and vice-versa; and draw phasor diagrams for circuits with R, L and C components.
- Apply phasors to find Thevenin/Norton equivalents and solve mesh and node problems in ac circuits.
- Write the KCL equations for a mutually coupled transformer circuit with source and load.
- Find the unknown currents, voltages, and powers in a given circuit for an ideal transformer circuit with a given turns ratio.
- Calculate the load impedance for an ideal transformer circuit with a given turns ratio to achieve maximum power transfer and explain the concept of transformer use for impedance matching.
- Build simple breadboard circuits consisting of resistors, capacitors, inductors, op-amps, and power supplies. Use digital multimeters and oscilloscopes to measure dc and ac currents and voltages, frequency of a periodic waveform, and phase shift between ac waveforms.
- Perform design exercises to satisfy simple specifications (such as a prescribed voltage, current or gain factor), taking into account component tolerances and reasonable measurement accuracy.
- Write programs in PSpice 16 (for Windows) to the level of DC and AC sweeps, parameter sweeps, transient analysis, and switching with initial conditions.
- Organize and prepare written laboratory reports.
- Construct and test, on breadboard, circuits that contain resistors, potentiometers, capacitors, inductors, diodes, transistors, operational amplifiers, D’Arsonval meters, light emitting diodes (LEDs), photodiodes, ac and dc power supplies, volt-amp meters, oscilloscopes, frequency generators, and microphones.
- Analyze all circuit responses using PSpice 16 and compare calculated values with laboratory measured values and explain differences.
- Breadboard, analyze and test dimmer circuits, buffer circuits, current sources, RL, RC, and RLC circuits with transistors and operational amplifiers (OpAmps).
- Measure the gain and phase response of simple audio filters and specific discrete frequencies.
- Design and verify an LC crossover network for use with tweeter and woofer loudspeakers.
- Organize and prepare written prelab papers and laboratory reports.
- Circuit Variables
- Electrical engineering: an overview
- The international system of units
- Circuit analysis: an overview
- Voltage and current
- The ideal basic circuit element
- Power and energy
- Circuit Elements
- Voltage and current sources
- Electrical resistance (Ohm’s law)
- Construction of a circuit model
- Kirchhoff’s laws
- Analysis of a circuit containing dependent sources
- Simple Resistive Circuits
- Resistors in series
- Resistors in parallel
- The voltage-divider circuit
- The current-divider circuit
- Measuring voltage and current
- The Wheatstone bridge
- Delta-to wye (pi-to tee) equivalent circuits
- Techniques of Circuit Analysis
- Introduction to the mode-voltage method
- The node-voltage method and dependent sources
- The node-voltage method: some special cases
- Introduction to the mesh-current method
- The mesh-current method and dependent sources
- The mesh-current method: some special cases
- The mode-voltage method verses the mesh-current method
- Source transformations
- Thevenin and Norton equivalents
- More on deriving a Thevenin equivalent
- Maximum power transfer
- The Operational Amplifier
- Operational amplifier terminals
- Terminal voltages and currents
- The inverting-amplifier circuit
- The summing-amplifier circuit
- The noninverting-amplifier circuit
- The difference-amplifier circuit
- A more realistic model for the operational amplifier
- Inductance, Capacitance, and Mutual Inductance
- The inductor
- The capacitor
- Series-parallel combinations of inductance and capacitance
- Mutual inductance
- A closer look at mutual inductance
- Response of First-Order RL and RC Circuits
- The natural response of an RL circuit
- The natural response of an RC circuit
- The step response of RL and RC circuits
- A general solution for step and natural responses
- Sequential switching
- Unbounded response
- The Integrating amplifier
- Natural and Step Responses of RLC Circuits
- Introduction to the natural response of a parallel RLC circuit
- The forms of the natural response of a parallel RLC circuit
- The step response of a parallel RLC circuit
- The natural and step response of a series RLC circuit
- A circuit with two integrating amplifiers
- Sinusoidal Steady-State Analysis
- The sinusoidal source
- The sinusoidal response
- The phasor
- The passive circuit elements in the frequency domain
- Kirchhoff’s laws in the frequency domain
- Series, parallel, and delta-to-wye simplifications
- Source transformations and Thevenin-Norton equivalent circuits
- The node-voltage method
- The mesh-current method
- The transformer
- The ideal transformer
- Phasor diagrams
Full Academic Year 2017/18
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