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Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 5.5, Problem 12CQ
What are the three types of magnetic materials and what are typical values of their relative permeabilities?
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Find Eigenvalues and Eigenvectors for the following matrices:
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1. (20 pts) Plot the pulse and the FFT for a pulse with the following properties at x=0 and x=10
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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 5 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 5.1 - What are the major differences between the...Ch. 5.1 - Prob. 2CQCh. 5.1 - How is the direction of the magnetic moment of a...Ch. 5.1 - If one of two wires of equal length is formed into...Ch. 5.1 - An electron moving in the positive x direction...Ch. 5.1 - A proton moving with a speed of 2 106 m/s through...Ch. 5.1 - A charged particle with velocity u is moving in a...Ch. 5.1 - A horizontal wire with a mass per unit length of...Ch. 5.1 - A square coil of 100 turns and 0.5 m long sides is...Ch. 5.2 - Two infinitely long parallel wires carry currents...
Ch. 5.2 - Devise a right-hand rule for the direction of the...Ch. 5.2 - What is a magnetic dipole? Describe its magnetic...Ch. 5.2 - Prob. 6ECh. 5.2 - A wire carrying a current of 4 A is formed into a...Ch. 5.2 - Prob. 8ECh. 5.3 - What are the fundamental differences between...Ch. 5.3 - Prob. 9CQCh. 5.3 - Compare the utility of applying the BiotSavart law...Ch. 5.3 - Prob. 11CQCh. 5.3 - A current I flows in the inner conductor of a long...Ch. 5.3 - The metal niobium becomes a superconductor with...Ch. 5.5 - What are the three types of magnetic materials and...Ch. 5.5 - What causes magnetic hysteresis in ferromagnetic...Ch. 5.5 - Prob. 14CQCh. 5.5 - The magnetic vector M is the vector sum of the...Ch. 5.6 - With reference to Fig. 5-24, determine the single...Ch. 5.7 - Prob. 15CQCh. 5.7 - What is the difference between self-inductance and...Ch. 5.7 - Prob. 17CQCh. 5.7 - Use Eq. (5.89) to obtain an expression for B at a...Ch. 5 - An electron with a speed of 8 106 m/s is...Ch. 5 - When a particle with charge q and mass m is...Ch. 5 - The circuit shown in Fig. P5.3 uses two identical...Ch. 5 - The rectangular loop shown in Fig. P5.4 consists...Ch. 5 - In a cylindrical coordinate system, a 2 m long...Ch. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - The loop shown in Fig. P5.9 consists of radial...Ch. 5 - An infinitely long, thin conducting sheet defined...Ch. 5 - An infinitely long wire carrying a 25 A current in...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A circular loop of radius a carrying current I1 is...Ch. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Three long, parallel wires are arranged as shown...Ch. 5 - A square loop placed as shown in Fig. P5.20 has 2...Ch. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Repeat Problem 5.22 for a current density J=zJ0er.Ch. 5 - In a certain conducting region, the magnetic field...Ch. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - A uniform current density given by J=zj0 (A/m2)...Ch. 5 - A thin current element extending between z = L/2...Ch. 5 - In the model of the hydrogen atom proposed by Bohr...Ch. 5 - Iron contains 8.5 1028 atoms/m3. At saturation,...Ch. 5 - The xy plane separates two magnetic media with...Ch. 5 - Given that a current sheet with surface current...Ch. 5 - In Fig. P5.34, the plane defined by x y = 1...Ch. 5 - The plane boundary defined by z = 0 separates air...Ch. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A solenoid with a length of 20 cm and a radius of...Ch. 5 - Prob. 39PCh. 5 - The rectangular loop shown in Fig. P5.40 is...Ch. 5 - Determine the mutual inductance between the...
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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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