# 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

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