Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 2, Problem 2.38P
Determine the charge density at the point
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Find Eigenvalues and Eigenvectors for the following matrices:
[10
4
A=0
2
0
3
1
1 -3
1. (20 pts) Plot the pulse and the FFT for a pulse with the following properties at x=0 and x=10
cm.
f=2 MHz
m=3
Ncyc=2, 6, 20
po 1 MPa (source pressure)
x=10 cm (propagates in a Newtonian fluid for 10 cm as a plane wave-not a sound beam)
a=0.5 dB/(MHz cm)
Consider 3 types of waves: sine, square, and sawtooth. (square and sawtooth only for grad
students)
Observe your plots and draw some conclusions. Discuss any possible issues you encounter.
2. (20 pts) We have the following 3 ultrasonic transducers:
a. Focused 1 MHz, 2.54 cm diameter, 5.08 cm focus
b. Focused 3 MHz, 2.54 cm diameter, 5.08 cm focus
c. Unfocused 0.1 MHz, 2.54 cm diameter
The transducers are operating in water (c=1486 m/s).
I. Plot the axial field for all transducers
II. Plot the focal transverse field for the focused transducers and the transverse field at the
Rayleigh distance (R_0) and at 2R_0 for the unfocused.
III. Assume source pressure of 0.1 MPa, and find the acoustic pressure in MPa at the location
(r=0, z=4.5…
Find the Q-points for the diodes in the circuit. Assume ideal diodes, and startwith the assumption that D is OFF, and D2 is ON for both circuits.
Chapter 2 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 2 - Given P(4, 2, 1) and APQ=2ax+4ay+6az, find the...Ch. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Suppose Q1(0.0,-3.0m,0.0)=4.0nC,...Ch. 2 - Prob. 2.5PCh. 2 - Suppose 10.0nC point charges are located on the...Ch. 2 - Four 1.00nC point charges are located at...Ch. 2 - A 20.0nC point charge exists at...Ch. 2 - Prob. 2.9PCh. 2 - Convert the following points from Cartesian to...
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - A 20.0–cm–long section of copper pipe has a...Ch. 2 - A line charge with charge density 2.00nC/m exists...Ch. 2 - You are given two z–directed line charges of...Ch. 2 - Suppose you have a segment of line charge of...Ch. 2 - A segment of line charge L=10.nC/m exists on the...Ch. 2 - In free space, there is a point charge Q=8.0nC at...Ch. 2 - Prob. 2.20PCh. 2 - Sketch the following surfaces and find the total...Ch. 2 - Consider a circular disk in the x–y plane of...Ch. 2 - Suppose a ribbon of charge with density S exists...Ch. 2 - Sketch the following volumes and find the total...Ch. 2 - You have a cylinder of 4.00–in diameter and...Ch. 2 - Consider a rectangular volume with...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Given D=2a+sinazC/m2, find the electric flux...Ch. 2 - Suppose the electric flux density is given by...Ch. 2 - Prob. 2.31PCh. 2 - A cylindrical pipe with a 1.00–cm wall thickness...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - A thick–walled spherical shell, with inner...Ch. 2 - Prob. 2.37PCh. 2 - Determine the charge density at the point...Ch. 2 - Given D=3ax+2xyay+8x2y3azC/m2, (a) determine the...Ch. 2 - Suppose D=6cosaC/m2. (a) Determine the charge...Ch. 2 - Suppose D=r2sinar+sincosaC/m2. (a) Determine the...Ch. 2 - Prob. 2.42PCh. 2 - A surface is defined by the function 2x+4y21nz=12....Ch. 2 - For the following potential distributions, use the...Ch. 2 - A 100nC point charge is located at the origin. (a)...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Suppose a 6.0–m–diameter ring with charge...Ch. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - The typical length of each piece of jumper wire on...Ch. 2 - A 150–m length of AWG–22 (0.644 mm diameter)...Ch. 2 - Determine an expression for the power dissipated...Ch. 2 - Find the resistance per unit length of a stainless...Ch. 2 - A nickel wire of diameter 5.0 mm is surrounded by...Ch. 2 - Prob. 2.57PCh. 2 - A 20nC point charge at the origin is embedded in...Ch. 2 - Suppose the force is very carefully measured...Ch. 2 - The potential field in a material with r=10.2 is...Ch. 2 - In a mineral oil dielectric, with breakdown...Ch. 2 - Prob. 2.62PCh. 2 - For z0,r1=9.0 and for z0,r2=4.0. If E1 makes a 300...Ch. 2 - Prob. 2.64PCh. 2 - Consider a dielectric–dielectric charge–free...Ch. 2 - A 1.0–cm–diameter conductor is sheathed with a...Ch. 2 - Prob. 2.67PCh. 2 - For a coaxial cable of inner conductor radius a...Ch. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - A parallel–plate capacitor with a 1.0m2 surface...Ch. 2 - Prob. 2.72PCh. 2 - Prob. 2.73PCh. 2 - Given E=5xyax+3zaZV/m, find the electrostatic...Ch. 2 - Suppose a coaxial capacitor with inner radius 1.0...
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- 1. Label the x, y, z coordinates for each frame. 2. Compute the homogeneous transformation matrices H between frames 0, 1, 2, and end- effector.arrow_forwardFind Eigenvalues and Eigenvectors for the following matrices: 1] [5-6 A = 1 1 0 L3 0 1arrow_forwardUse Gauss-Jordan Elimination method to solve the following system: 4x1+5x2 + x3 = 2 x1-2x2 3x3 = 7 - 3x1 x2 2x3 = 1. -arrow_forward
- Find the Eigenvalues and the corresponding Eigenvectors. A = [³/2 9] 3.arrow_forwardFind the Q-points for the diodes in the circuit. Assume ideal diodes, and startwith the assumption that both diodes are ON for both circuits.arrow_forwardI need help with the PSpice part. How do I do the PSpice stuff.arrow_forward
- Use Gauss-Jordan Elimination method to solve the following system: 4x1 +5x2 + x3 = 2 x1-2x2 3x3 = 7 - 3x1 x2 2x3 = 1. -arrow_forwardNo need to solve question 1. Only work on question 2 where you make the PSpice model for this circuit. I need the basic step by step to find what is wanted in question 1. Explain what kind of analysis is used and what details are adjusted in it. Also explain/perform gathering the data on a plot for the simulation.arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)arrow_forward
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