Circuits 1

Main Reference Book

Tim Hanshaw, “Real Analog: An Introduction to Electrical Circuits”, free online access

Additional Reference

Roland E. Thomas, Albert J. Rosa, and Gregory J. Toussaint
The Analysis and Design of Linear Circuits”, Wiley, 7th Edition, 2012
(Prior or more recent versions of this book are also acceptable)

Course Goals

  • An introduction to electrical circuit analysis, design and evaluation.
  • Emphasis on definitions of basic variables, passive circuit components and the ideal operational amplifier.
  • DC analysis of circuits and dc circuit theorems are stressed.
  • AC signals are introduced.
  • Computer analysis software integrated throughout the course.

Course Modules

  • Define voltage and current in terms of electrical charge
  • State common prefixes and the symbols used in scientific notation
  • State the passive sign convention from memory
  • Determine the power absorbed or generated by an circuit element, based on the current and voltage provided to it
  • Write symbols for independent voltage and current sources
  • State from memory the function of independent voltage and current sources
  • Write symbols for dependent voltage and current sources
  • State governing equations for the four types of dependent sources
  • State Ohm’s Law from memory
  • Use Ohm’s Law to perform voltage and current calculations for resistive circuit elements
  • Identify nodes in an electrical circuit
  • Identify loops in an electrical circuit
  • State Kirchhoff’s current law from memory, both in words and as a mathematical expression
  • State Kirchhoff’s voltage law from memory, both in words and as a mathematical expression
  • Apply Kirchhoff’s voltage and current laws to electrical circuits
  • Identify series and parallel combinations of circuit elements
  • Determine the equivalent resistance of series resistor combinations
  • Determine the equivalent resistance of parallel resistor combinations
  • State voltage and current divider relationships from memory
  • Determine the equivalent resistance of electrical circuits consisting of series and parallel combinations of resistors
  • Sketch equivalent circuits for non-ideal voltage and current meters
  • Analyze circuits containing non-ideal voltage or current sources
  • Determine the effect of non-ideal meters on the parameter being measured
  • Use nodal analysis techniques to analyze electrical circuits
  • Use mesh analysis techniques to analyze electrical circuits
  • Define signals and systems
  • Represent systems in block diagram form
  • Identify system inputs and outputs
  • Write input-output equations for systems
  • State the defining properties of linear systems
  • Determine whether a system is linear
  • State conditions under which superposition can be applied to circuit analysis
  • Analyze electrical circuits using the principle of superposition
  • Define the i-v characteristic for a circuit
  • Represent a resistive circuit in terms of its i-v characteristic
  • Represent a resistive circuit as a two-terminal network
  • Determine Thévenin and Norton equivalent circuits for circuits containing power sources and resistors
  • Relate Thévenin and Norton equivalent circuits to i-v characteristics of two-terminal networks
  • Determine a load resistance which will maximize the power transfer from a circuit
  • State ideal operational amplifier modeling rules
  • State constraints on the operational amplifier output voltage
  • Represent operational amplifiers as dependent voltage sources
  • Be able to identify standard operational amplifier pin connections
  • Analyze electrical circuits containing ideal operational amplifiers and resistors
  • Sketch op-amp based circuits which perform the following operations:
    • Inverting voltage amplification
    • Non-inverting voltage amplification
    • Summation (addition)
    • Differencing (subtraction)
    • Buffering
  • Describe the operation of a comparator
  • Briefly describe the effect of the following non-ideal op-amp parameters, relative to ideal op-amp performance:
    • Finite input resistance
    • Finite output resistance
    • Finite op-amp gain
  • Qualitatively state the effect of energy storage on the type of mathematics governing a system
  • Write the mathematical expression for a unit step function
  • Sketch the unit step function
  • Sketch shifted and scaled versions of the unit step function
  • Write the mathematical expression for a decaying exponential function
  • Use a unit step function to restrict an exponential function to times greater than zero
  • Write the circuit symbol for a capacitor
  • State the mechanism by which a capacitor stores energy
  • State the voltage-current relationship for a capacitor in both differential and integral form
  • State the response of a capacitor to constant voltages and instantaneous voltage changes
  • Write the mathematical expression describing energy storage in a capacitor
  • Determine the equivalent capacitance of series and parallel combinations of capacitors
  • Write the circuit symbol for an inductor
  • State the mechanism by which an inductor stores energy
  • State the voltage-current relationship for an inductor in both differential and integral form
  • State the response of an inductor to constant voltages and instantaneous current changes
  • Write the mathematical expression describing energy storage in an inductor
  • Determine the equivalent inductance of series and parallel combinations of inductors