ELE 2022 - Bridge Electric Circuits

• Perform DC and AC circuit analysis computations using mathematical software
• Analyze DC and AC circuits using circuit simulation software
• Mathematically represent the time domain and the phasor forms of AC sinusoidal steady-state signals
• Symbolically analyze and numerically evaluate AC circuits for electric circuit quantities, complex power, frequency response with AC transfer functions, and op-amp circuits
• Analytically interrelate the polar, exponential, and time domain expressions for AC sinusoidal waveforms, both symbolically and numerically
• Develop the AC complex impedance relations of passive components from the voltage-current time-domain relationships
• Develop complex power expressions from the exponential forms of phasor voltage and current
• Determine complex power for single-phase AC multisource circuits where a source absorbs AC real power (informational note: power factor correction is introduced but is not an outcome)
• Use superposition to analyze a circuit with both DC and one AC frequency and a circuit with two sources of the same and of different frequencies
• Recognize when the linearity condition for superposition in a circuit is valid
• Analyze and simulate circuits with provided models of sensors, actuators, and machines
• Analyze circuits with dependent sources that model components, circuits, and devices (informational note: analysis of circuits with randomly placed dependent sources is not a learning outcome)
• Analytically determine Thévenin and Norton equivalent circuits of DC circuits using the open circuit - short circuit approach and graphically using voltage-current (i-v) plots (informational note: limited-size DC circuits are intended)
• Determine DC and AC Thévenin and Norton equivalent circuits with the test source method, including when the original circuits contain dependent sources and transformers
• Analyze AC circuits containing an ideal transformer, using the dot convention and reflected impedance where appropriate (informational note: mutual inductor analysis is not an outcome in this course)
• Identify lowpass, highpass, bandpass, and bandstop (bandreject) filter types in frequency response plots
• Plot the frequency response of two-component series RL and RC circuits on semilogarithmic graphs using mathematical software and using simulations
• Determine the transfer function, the break frequency, and the magnitude and phase Bode approximations (plots) of series RL and RC AC circuits
• Distinguish power ratios in dB (10 log) from voltage, current, and other non-power ratios (20 log)
• Explain qualitatively why the phase response of a filter matters
• Analyze single op-amp circuits in non-standard configurations, including simple active filters, using circuit principles and ideal op‑amp properties
• Derive the resonant frequency of unloaded and loaded series, parallel, and series-parallel RLC resonant circuits that have a single resonant frequency
• Compute the resonant frequency and resonant impedance or admittance
• Determine the quality factor (Q) and the half-power bandwidth from resonant frequency response plots
• Reduce first-order circuits using Thévenin equivalent circuit analysis to determine the transient response and time constant
• Express the step (switching), ramp, and impulse functions mathematically and graphically
• Formulate composite waveform expressions using the time delay property and combinations of step, ramp, and impulse functions
• Graphically determine the voltage (current) waveform when a current (voltage) waveform is applied to a capacitor or an inductor
• Determine Laplace and inverse Laplace transforms of basic signals by using a transform pairs table and by using software for real poles and non-repeated complex conjugate poles
• Analyze first-order and second-order circuits in the Laplace transform domain, including initial condition models where needed,
• Use software to perform partial fraction expansion for identification of poles (informational note: use of software as opposed to manual methods is intentional)
• Determine transfer functions in the complex frequency (s) domain for simple RL, RC, and RLC series-parallel circuits
• Explain the significance of poles as they relate to time domain and frequency domain behaviors
• Demonstrate electrical laboratory measurement and instrumentation skills in DC and AC circuits, including those with sensors and actuators

• Electric circuit quantities in steady-state DC and AC contexts: voltage, current, resistance, capacitance, inductance, reactance, impedance, admittance, conductance, and susceptance, including SI units and prefixes
• Sources and loads in an energy conversion context, shorts and opens
• Symbols and circuit schematics relationships to physical components
• Common circuit configuration identification:  series, parallel, series-parallel, and standard ideal op-amp configurations
• DC and AC steady-state series-parallel circuit analysis, using phasors, impedances and admittances for AC, through application of Kirchhoff’s voltage and current laws, voltage and current divider rules, and nodal analysis
• Ideal op-amp circuit analysis in standard configurations
• Complex power for single-phase AC circuits from the phasor voltage and current
• Thévenin and Norton equivalent circuits of DC and AC circuits
• Step response of series and parallel (not series-parallel) RL and RC circuits with initial conditions using differential-equation based time domain analysis techniques
• Time constant of series and parallel RL and RC circuits
• Step response of series and parallel (not series-parallel) RLC circuits with initial conditions using differential-equation based time domain analysis techniques
• Damping type and parameters of series and parallel RLC circuits
• Electrical laboratory measurement and instrumentation skills in DC and AC circuits