Natural Response of an RC Circuit

Slides:

Advertisements

Similar presentations

Differential Equations

Advertisements

Unit 3 Day 11: RC Circuits RC Circuit Introduction RC Circuit Analysis

AP Electricity Quiz Review

EE462L, Fall 2011 DC−DC Buck/Boost Converter

Monday February 23 Lecture 15 RC Circuits Electricity in the Nervous System.

Sequential Switching RC circuit RL circuits. Sequential switching ? Whenever switching occurs more than once in a circuit (RC or RL) Switch at position.

ECE 201 Circuit Theory I1 Step Response Circuit’s behavior to the sudden application of a DC voltage or current. Energy is being stored in the inductor.

ECE 201 Circuit Theory I1 General Solution for Natural and Step Responses of RL and RC Circuits Final Value Initial Value Time Constant Determine the initial.

Response of First-Order Circuits

ECE 201 Circuit Theory I1 Step Response of an RC Circuit + v C (t) - i(t) Close the switch at t = 0 Write KCL at the top node Allow for the possibility.

SE207 Modeling and Simulation Lab # 3: Analog Simulation of a First Order System (RC circuit)

Series-Parallel Combinations of Inductance and Capacitance

ELE1110C – Tutorial Luk Chun Pong Outline -Basic concepts of Capacitors -RC circuits (DC) -Examples.

ECE 201 Circuit Theory I1 Resistors in Parallel Resistors connected at a single node pair Voltage across each resistor is the same.

Lecture 10: RL & RC Circuits Nilsson 7.1 – 7.4

ECE 201 Circuit Theory I1 Natural Response of an RC Circuit.

First Order Circuits. Objective of Lecture Explain the operation of a RC circuit in dc circuits As the capacitor releases energy when there is: a transition.

RC Circuit Experiment 1. Set up three different RC circuits using the components supplied. 2. Measure the voltage across the capacitor as a function of.

Today’s Concept: RC Circuits

Direct Current When the current in a circuit has a constant direction, the current is called direct current Most of the circuits analyzed will be assumed.

Engineering Science EAB_S_127 Electricity Chapter 4.

Chapter 28 Direct Current Circuits 1.R connections in series and in parallel 2.Define DC (direct current), AC (alternating current) 3.Model of a battery.

Fluid flow analogy. Power and energy in an inductor.

Circuit Lab. Experiment-4 Measurement of Time Constant, Rise Time, Step Response of a RC Circuit.

1 Circuit Theory Chapter 7 First-Order Circuits see "Derivation" link for more information.

Engineering Science EAB_S_127 Electricity Chapter 3 & 4.

Lecture 17: FRI 20 FEB 08 RC circuits Ch27.9 Physics 2102 Jonathan Dowling.

Chapter 2.3 Capacitor Charging & Discharging Page 1 of 23 Last Updated: 1/9/2005 Electrical Theory I (ENG3322) Engineering Course Board Charging of a capacitor.

RC Circuits. We can use a resistor to slow the charging of the capacitor. -Current now varies with time. -In the very short term, you can treat the capacitor.

305221, Computer Electrical Circuit Analysis การวิเคราะห์วงจรไฟฟ้าทาง คอมพิวเตอร์ 3(2-3-6) ณรงค์ชัย มุ่งแฝงกลาง คมกริช มาเที่ยง สัปดาห์ที่ 10 Frequency.

In-Class Problems 1.Sketch the following functions: a) x(t) = 3sin(40  t) for 0≤ t ≤ 0.2 sec b) z(t) = 10e -4t for 0≤ t ≤0.5 sec 2.What is ? 3.What is.

Lecture 12-1 Answer for the Warm-up quiz Replace by equivalent R=2  first. Sketch the diagram Simplify using equivalent resistors Label currents with.

Capacitors, Batteries. Capacitors Create a difference in Potential based upon how much charge is stored V = q/C (V) C : Capacitance C = k ε o A /d k :

Copyright © 2009 Pearson Education, Inc. Admin: Assignment 8 is complete Assignment 9 is posted 2 more AC analysis problems RC circuits Due Monday (May.

In the circuit shown R 1 =5.0 k , R 2 =10 k , and V = 12.0 V. The capacitor is initially uncharged. After the switch has been closed for 1.30 μs the.

Resistor-Capacitor (RC) Circuits

Capacitor-Resistor Circuits

Hirophysics.com RC Circuits and its Physical Simulation Richard Robbins.

Lab 6: R-C Circuits Only 6 more labs to go!! A capacitor is a device used to store energy. In this lab we will measure how a capacitor “stores” up or discharges.

Typical Capacitor Charging/Discharging circuits Optional Resistor Charging CircuitDischarging Circuit.

Electric Circuits Voltage Measurement. Current Measurement.

Lecture 18 Review: Forced response of first order circuits

Response of First Order RL and RC

Review Question Describe what happens to the lightbulb after the switch is closed. Assume that the capacitor has large capacitance and is initially uncharged,

Chapter 26 DC Circuits Chapter 26 Opener. These MP3 players contain circuits that are dc, at least in part. (The audio signal is ac.) The circuit diagram.

Chapter 20 Capacitors, Resistors and Batteries. Drift speed of ions in chemical battery: In usual circuit elements: In a battery:, assuming uniform field:

Capacitors A capacitor is a device that has the ability “capacity” to store electric charge and energy.

General Solution for Natural and Step Responses of RL and RC Circuits

Transient Response of an RC Circuit

Syllabus Definition Natural Response Compute i(t), p(t), and w(t)

Capacitance Capacitance occurs whenever electrical conductors are separated by a dielectric, or insulating material. Applying a voltage to the conductors.

Inductance and Capacitance Response of First Order RL and RC

Response of First-Order Circuits

Capacitive AC Circuits

Consider the function in which E, R, and C are known constants

Electric Current and Direct-Current Circuits (Cont.)

Natural Response of an RC Circuit

Capacitor-Resistor Circuits

RC Circuits! Lecture 15.

Response of First-Order Circuits

Capacitance Capacitance occurs whenever electrical conductors are separated by a dielectric, or insulating material. Applying a voltage to the conductors.

Example 4.2 Using the Node-Voltage Method

Node-Voltage Method Identify the nodes

Source Transformation

Resistors in Parallel Resistors connected at a single node pair

Node - Voltage Method ECE 201 Circuit Theory I.

Capacitance Capacitance occurs whenever electrical conductors are separated by a dielectric, or insulating material. Applying a voltage to the conductors.

Sequential Switching RC circuit RL circuits.

Presentation transcript:

Natural Response of an RC Circuit ECE 201 Circuit Theory I

Typical RC Circuit ECE 201 Circuit Theory I

Circuit Conditions Assume that the switch has been in position a for a very long time. ECE 201 Circuit Theory I

The Capacitor is Charged to the Source Voltage Vg The circuit now looks like ECE 201 Circuit Theory I

Write the Node Voltage Equation ECE 201 Circuit Theory I

Substituting back ECE 201 Circuit Theory I

Plot of the Natural Response ECE 201 Circuit Theory I

Current, Power, and Energy ECE 201 Circuit Theory I

Summary of Procedure Determine the initial voltage across the Capacitor. Determine the Time Constant, τ. Apply ECE 201 Circuit Theory I