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Physics 246: Introduction to Circuit Analysis

This course is offered in the Spring semester and is an introduction to methods for analyzing electric circuits using the following circuit elements and analytical methods:  Kirchhoff's laws, node and mesh equations, equivalent circuits, operational amplifiers, resistor-capacitor-inductor circuits, sinusoidal steady-state analysis, three-phase circuits, Laplace transforms, transfer functions and frequency response.

Course Outcomes

  1. Use Ohm's law to calculate current, voltage, and resistance of simple circuit elements.
  2. Determine voltage, current, and resistance using Kirchhoff's Laws for circuits with dependent sources.
  3. Use operational amplifiers and other circuit elements to set up amplifier circuits.
  4. Analyze general electrical circuits using nodal and mesh analysis.
  5. Analyze general circuits by setting up Thevenin and Norton equivalent circuits.
  6. Work circuit problems by systematically writing loop equations that involve independent mesh current equations that completely describe a planar network.
  7. Solve differential and integral equations for capacitance.
  8. Determine the voltage across an inductor and the current through an inductor by solving the appropriate differential and integral equations.
  9. Solve differential equations for voltage, power, energy, and time constants in circuits with capacitors and resistors.
  10. Solve differential equations to calculate steady-state and forced responses in circuits with driving forces.
  11. Solve problems involving the step response of a circuit having only one input which is a unit step function for either voltage or current.
  12. Solve problems for overdamped, underdamped, and critically damped electrical oscillation for natural and forced circuits.
  13. Replace circuit excitations and responses by their complex forcing functions, construct phasor equations, and solve for voltages and currents.
  14. Use nodal analysis, mesh analysis, and phasor analysis to solve problem with ac steady-state circuits.
  15. Solve circuit problems for single phase, three phase, and Y-Δ circuits.
  16. Solve circuit problems involving filters and transformers.
  17. Use Laplace Transforms to analyze a variety of circuits.