Solution Found!

System Dynamics | 3rd Edition | ISBN: 9780073398068 | Authors: William J Palm III
Change Question

Use asymptotic approximations to sketch the frequency

Chapter , Problem 9,2

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Use asymptotic approximations to sketch the frequency response plots for the following transfer functions.

a. \(T(s)=\frac{15}{6 s+2}\)

b. \(T(s)=\frac{9 s}{8 s+4}\)

c. \(T(s)=6 \frac{14 s+7}{10 s+2}\)

Questions & Answers

QUESTION:

Use asymptotic approximations to sketch the frequency response plots for the following transfer functions.

a. \(T(s)=\frac{15}{6 s+2}\)

b. \(T(s)=\frac{9 s}{8 s+4}\)

c. \(T(s)=6 \frac{14 s+7}{10 s+2}\)

ANSWER:

Problem 9.2

Use asymptotic approximations to sketch the frequency response plots for the following transfer functions.

(a)

(b)

(c)

                                                             Step by Step Solution

Step 1 of 3

The transfer function T(s) of part (a) is rewritten as,

Put,

Therefore,

So, the corner frequency is,

So, the asymptotic bode plot is drawn below,

Where, is again and because of the presence of only one pole, the slope will be -20 dB/decade at corner frequency.

Add to cart

Study Tools You Might Need

Chapter: 1 Problem: 12E

Linear Algebra and Its Applications 5
PROBLEM 12E Determine if b is a linear combination of a1, a2, and a3.

Chapter: 7 Problem: 4

Campbell Biology 9
Which of the following processes includes all others? a. osmosis b. diffusion of a solute across a membrane c. facilitated diffusion d. passive transport e. transport of an ion down its electrochemical gradient

Chapter: 10 Problem: PROBLEM 10-6

Organic Chemistry 9
Dimethylamine, (CH3)2NH, has a molecular weight of 45 and a boiling point of 7.4 C. Trimethylamine, (CH3)3N, has a higher molecular weight (59) but a lower boiling point (3.5 C). Explain this apparent discrepancy.

Chapter: 6 Problem: 6-2

Glencoe Accounting: First Year Course, Student Edition 1
Recording Business Transactions Instructions The six steps for recording a business transaction in the general journal are shown below, out of order. In your working papers or on a blank sheet of paper, indicate the proper order of these steps. A. Amount of the credit B. Name of the account cred

Chapter: 5 Problem: 3

Principles of Economics 6
What is the main advantage of using the midpoint method for calculating elasticity?

Chapter: 3 Problem: 4

Macroeconomics 22nd
What are the determinants of supply? What happens to the supply curve when any of these determinants change? Distinguish between a change in supply and a change in the quantity supplied, noting the cause(s) of each.

Chapter: 11 Problem: 5

Advanced Engineering Mathematics 10
Find the trigonometric polynomial F(x) of the form (2) for which the square error with respect to the given f(x) on the interval \(-\pi<x<\pi\) is minimum. Compute the minimum value for \(N=1,2, \cdots, 5\) (or also for larger values if you have a CAS). \(f(x)=\left\{\begin{array}{rlr}-1 & \text {

Chapter: 32 Problem: 2

Biology: The Dynamic Science 5
What traits in conodonts and ostracoderms are derived relative to those in hagfishes and lampreys?

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back