Linear Circuits

Nathan V. Parrish

An introduction to linear electric circuit elements and a study of circuits containing such devices.

PhD Candidate & Graduate Research AssistantSchool of Electrical and Computer Engineering

School of Electrical and Computer Engineering

Nathan V. Parrish

Capacitors

PhD Candidate & Graduate Research AssistantSchool of Electrical and Computer Engineering

School of Electrical and Computer Engineering

•Present how capacitors work in a system•Identify behavior in DC circuits•Graphically represent the relationships between current, voltage, power, and energy

Previous Class

� Behavior of isolated capacitors� Behavior of isolated capacitors

� Meaning of capacitance

Module 3: Reactive Circuits� Capacitors� Inductors� First-order differential equations

4

� First-order differential equations� RC Circuits� RL Circuits� Second-order differential equations� RLC Circuits

� Analyzing capacitors in series/parallel� Analyze DC circuits with capacitors

Lesson Objectives

� Analyze DC circuits with capacitors� Calculate energy in a capacitor� Sketch current/voltage/power/energy curves

5

Capacitors in Parallel

6

Capacitors in Series

7

Behavior in DC Circuits

8

Stored Energy

9

Graphs

10

� Calculated capacitance for capacitors in parallel/series configurations� Identified how capacitors in DC circuits behave like

Summary

� Identified how capacitors in DC circuits behave like open circuits� Derived an equation for the energy stored by a

capacitor as an electric field� Showed graphically the relationships between

voltage/current/power/energy in capacitors

11

� Considerations for working with real capacitors

Next Class

� Considerations for working with real capacitors� Magnetic fields and current� Inductance

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