[PDF] [PDF] Natural and Step Response of Series & Parallel RLC Circuits

[PDF] Natural and Step Response of Series & Parallel RLC Circuits

✓Step response of parallel and series RLC circuits Page 2 Natural Response of Parallel RLC Circuits The problem – given initial energy stored in the inductor 

[PDF] Chapter 8 Natural and Step Responses of RLC Circuits

RLC Circuits 8 1-2 The Natural Response of a Parallel RLC Circuit 8 3 The Step Response of a Parallel RLC Circuit 8 4 The Natural and Step Response of a

[PDF] CHAPTER 8: NATURAL AND STEP RESPONSES of RLC

NATURAL AND STEP RESPONSES of RLC CIRCUITS Introduction to the Natural Response of a Parallel RLC Circuit The Forms of the Natural Response of a 

[PDF] Natural and Step Responses of RLC Circuits - Qi Xuan

The Forms of the Natural Response of a Parallel RLC Circuit • The Step Response of a Parallel RLC Circuit • The Natural and Step Response of a Series

[PDF] Parallel RLC Circuits

15 oct 2004 · Determine the response form of the circuit ▫ Natural response parallel RLC circuits ▫ Natural response series RLC circuits ▫ Step response 

[PDF] exp7pdf

The determination of the natural response of a parallel RLC circuit (Fig 7-1) consists of finding the voltage v generated across the parallel branches by the release of energy stored in the inductor or capacitor or both

[PDF] Step Response of a Series RLC Circuit - Philadelphia University

Electric Circuits I Step Response of a Parallel RLC Circuit 1 Dr Firas Obeidat obtained in the source-free series RLC circuit The steady-state response is 

[PDF] Step Response of Parallel RLC Circuit - cloudfrontnet

Step Response of Parallel RLC Circuit • Author: Zekeriya The form of the particular solution is similar to the input signal For the constant input, the particular 

[PDF] Electrical Engineering 1 12026105 Lecture 8 Second-Order Circuits

8 1 Examples of 2nd order RCL circuit 8 2 The source-free series RLC circuit 8 3 The source-free parallel RLC circuit 8 4 Step response of a series RLC circuit

[PDF] Parallel RLC Second Order Systems • Consider a parallel RLC

Parallel RLC Second Order Systems Continuing with the simple parallel RLC circuit as with the series Step response: called complete response in book

[PDF] step response of rlc circuit

[PDF] step by step currency conversion

[PDF] stephen king everything's eventual review

[PDF] stephen king room 1408

[PDF] steps in community dialogue

[PDF] steps in decision making process

[PDF] steps in decision making process in management accounting

[PDF] steps in decision making process in terms of marginal analysis

[PDF] steps in designing a sales compensation plan

[PDF] steps in preparing a standard solution

[PDF] steps involved in b cell activation

[PDF] steps involved in community dialogue

[PDF] steps of active listening

[PDF] steps of adaptation in inclusive education

[PDF] steps of debate

Natural and Step Response of Series & Parallel

RLC Circuits (Second-order Circuits)

Objectives:

9Determine the response form of the circuit

9Natural response parallel RLC circuits

9Natural response series RLC circuits

9Step response of parallel and series RLC circuits

Natural Response of Parallel RLC Circuits

The problem - given initial energy stored in the

inductor and/or capacitor, find v(t) for t ш 0.

It is convenient to calculate v(t) for this

circuit because

A.The voltage must be continuous for

all time

B.The voltage is the same for all three

components

C.Once we have the voltage, it is pretty

easy to calculate the branch current

D.All of the above

Natural Response of Parallel RLC Circuits

The problem - given initial

energy stored in the inductor and/or capacitor, find v(t) for t ш 0.

0)(1)(1)(

0)(1)(1)(

0)()(1)(

2 2 2 2 0 0 dt tdv

RCtvLCdt

tvdC dt tdv

RtvLdt

tvdC R tvIdxxvLdt tdvC t :form standard in place to by sides both Divide :integral the remove to sides both ateDifferenti :KCL

Natural Response of Parallel RLC Circuits

The problem - given initial

energy stored in the inductor and/or capacitor, find v(t) for t ш 0.

0)(1)(1)(

2 2 dt tdv

RCtvLCdt

tvd:equation Describing

This equation is

9Second order

9Homogeneous

9Ordinary differential equation

9With constant coefficients

Once again we want to pick a possible solution to

this differential equation. This must be a function whose first AND second derivatives have the same form as the original function, so a possible candidate is

A.Ksin t

B.Keat

C.Kt2

Natural Response of Parallel RLC Circuits

The problem - given initial

energy stored in the inductor and/or capacitor, find v(t) for t ш 0.

0)(1)(1)(

2 2 dt tdv

RCtvLCdt

tvd:equation Describing The circuit has two initial conditions that must be satisfied, so the solution for v(t) must have two constants. Use

0)]1()1([)]1()1([

0)(1)(1)(

21

212121

21
22
2 211
2 1

2122112

2 21
2 1 21
tsts tstststststs tsts eALCsRCseALCsRCs eAeALCeAseAsRCeAseAs eAeAtv:SubstituteV;

Natural Response of Parallel RLC Circuits

The problem - given initial

energy stored in the inductor and/or capacitor, find v(t) for t ш 0.

0)1()1(

)(1)( 2 21
21
2 2 21

LCsRCs

ss eAeAtv tvLCdt tvd tsts :EQUATION STICCHARACTERI the for solutions are and Where :Solution 0dt dv(t) RC

1:equation Describing

characterizes the circuit.

A.True

B.False

0)1()1(2LCsRCs

Natural Response of Parallel RLC Circuits

The problem - given initial

energy stored in the inductor and/or capacitor, find v(t) for t ш 0. rad/s) in frequency radian resonant (the and rad/s) in frequency neper (the where 0LC RC

LCRCRCs

LCRCRCsLCsRCs

1 2 1 )1()21()21( 2 )1(4)1()1(;0)1()1( 2 0 22
2,1 2 2,1 2 r r r Z D ZDD The two solutions to the characteristic equation can be calculated using the quadratic formula:

So far, we know that the parallel RLC natural

response is given by

A.The value of

B.The value of 0

C.The value of (2 - 02)

and where0LCRCs eAeAtvtsts 1 2 1 2 0 2 2,1 21
21
r ZDZDD

There are three different forms for s1 and s2. For a parallel RLC circuit with specific values of R, L and C, the form for s1 and s2 depends on

Natural Response - Overdamped Example

Given V0 = 12 V and

I0 = 30 mA, find v(t)

for t ш 0. rad/s rad/s, case! overdamped the is this so rad/s rad/s 2 0

000,2050007500000,12

)000,10()500,12(500,12

000,10)2.0)(05.0(

11

500,12)2.0)(200(2

1quotesdbs_dbs4.pdfusesText_7