Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 5, Problem 34P
In Fig. P5.34, the plane defined by x − y = 1 separates medium 1 of permeability μ1 from medium 2 of permeability μ2. If no surface current exists on the boundary and
find B2 and then evaluate your result for μ1 = 5μ2. Hint: Start by deriving the equation for the unit
Figure P5.34 Magnetic media separated by the plane x−y = 1 (Problem 5.34).
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1.A charge QM is at point Mx= 16 My= -12 Mz = 20, and a charge QN is at N(-18, 3, 7) in free space. If distances are given in cm,solve for:
A. RMN
B. RMN
C. Determine the vector force exerted on QM by QN if the permittivity of free space is equal to 10-9 / 36π.
If the charges are -25µC and 40µC respectively.
hello, i’m studying coordinate system from electromagnetics.
In the cartesian coordinate system, the coordinate variables x, y, and z are already length dimensions, so the scaling factors to convert them to length are hx=1, hy=1, and hz=1. In the cylindrical coordinate system, the scaling factors to convert the rho and z into length , are hrho=1 and hz=1.
A) what is the hpi that changes coordinate pi into the length?
B) in terms of spherical coordinates, what is the hr, htheta , hpi that changes ( r, theta, pi ) of spherical coordinate into the length?
can you please solve this question, thanks.
In free space, let Q1 = 10 nC be at P1(0,-4,0) and Q2 = 20 nC be at P1(0,0,4). Find E at the
origin.
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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- At the points ? (-9,0), ? (0,0) and ? (4,0) in the plane, ?1 = 7, ?2 = 8 and There are 3 = 5 point loads. The electric field at point ? (0, 9) on the ? axis Write the value of the x-component numerically in terms of ke.arrow_forwardA charge QA = 20μC is located at A(−3, 2, 4), QB = 30μC is located at B(2, 1, 4), and a charge QC = 50μC is at C(5, 8,−2) in free space. If distances are given in meters, find: (a) vector AB; (b) vector AC. Determine the total vector force exerted on QA by QB and QC. (Draw the diagram)arrow_forwardEvaluate both sides of divergence theorem for for the volume enclosed between r=1 and r=2 in spherical coordinates. Given that D=(5r²/4)ararrow_forward
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