# Bode Plot Construction for a Given Transfer Function## Problem Statement**Task 9:** Create a Bode plot of the following transfer function.\[ H(\omega) = \frac{(1 + j\omega)(10 + j\omega)(10k + j\omega)^3}{10(100 + j\omega)(1k + j\omega)^4}\]## Graph DescriptionThe provided graph is a logarithmic scale Bode plot for the magnitude in decibels (dB). It includes:- **Y-Axis (Vertical):** Represents gain in decibels (dB), ranging from -40 dB to 40 dB. - **X-Axis (Horizontal):** Represents angular frequency in radians per second ($\omega$ rad/sec), on a logarithmic scale. The frequency range spans from 1 to 10,000 rad/sec, with tick marks at 1, 10, 100, 1,000, and 10,000 rad/sec.The plot is marked with major grid lines for both axes, allowing for easy reading and plotting on the dB scale.

Given:a transfer function, To do:we need to create the Bode plot.

Answered: 9. Create a Bode plot of the following…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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# Bode Plot Construction for a Given Transfer Function

## Problem Statement

**Task 9:** Create a Bode plot of the following transfer function.

\[
H(\omega) = \frac{(1 + j\omega)(10 + j\omega)(10k + j\omega)^3}{10(100 + j\omega)(1k + j\omega)^4}
\]

## Graph Description

The provided graph is a logarithmic scale Bode plot for the magnitude in decibels (dB). It includes:

- **Y-Axis (Vertical):** Represents gain in decibels (dB), ranging from -40 dB to 40 dB.

- **X-Axis (Horizontal):** Represents angular frequency in radians per second ($\omega$ rad/sec), on a logarithmic scale. The frequency range spans from 1 to 10,000 rad/sec, with tick marks at 1, 10, 100, 1,000, and 10,000 rad/sec.

The plot is marked with major grid lines for both axes, allowing for easy reading and plotting on the dB scale.

Expert Solution

Step 1: what is given and what to do:

Given:

a transfer function,

$H open parentheses j omega close parentheses equals fraction numerator open parentheses 1 plus j omega close parentheses open parentheses 10 plus j omega close parentheses open parentheses 10000 plus j omega close parentheses cubed over denominator 10 open parentheses 100 plus j omega close parentheses open parentheses 1000 plus j omega close parentheses to the power of 4 end fraction$

To do:

we need to create the Bode plot.

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