EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 5, Problem 33P
Given that a current sheet with surface current density Js =
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A magnetic core with an air gap is shown below.
For a relative permeability is 3500, and the space free permeability is 4π×107 H/m,
find the reluctance of the gap, assuming a 4 percent increase in the effective air-gap area to
account for fringing.
5 cm
gap
0.15 cm
5 cm
40 cm
5 cm
20 cm
N
Answer:
Rgap
=
core depth = 10 cm
KA.t./Wb.
15 cm
a) Write the Biot-Savart Law for a steady current I.
b) By drawing the problem, write the expression for the vectoral magnetic flux density
surrounding an infinitely long wire carrying a line current of I.
c) Three infinitely long, parallel wires are located at the corners of an equilateral triangle as
shown in the figure below. If each wire is carrying a current of 100 A in +x direction and the
constitutive parameters of the medium are ɛ, = 10, Hp = 4, 0 = 0, find the vectoral forces;
i) F,
wire1
ii) F2
ii) F3
Coordinate System
per unit length on each wire.
wire2
wire3
60°
60
Solve the question by clearly
writing all steps of mathematical
operations with correct notation
and specifying all formulas and
units.
V3
mm
Can you solve this question please
Chapter 5 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Consider an infinite sheet with Jg =7.7 A/m surface current density at e, direction located on the x-y plane at z=0. Another infinite current source, a wire is also located at y=0, z= 5 m. It is known that the magnetic field vanishes at P(0,0, 2.5) m. Based on this configuration, find the magnitude and the direction of the current at the wire. a. 84.67 ex O b. 48.38 ey Oc.42.33 ex d. 60.48 ex e. 72,57 eyarrow_forwardQ2. A long cylindrical conductor with radius a is placed along the z-axis. The current density on the conductor is given as J = az(Jor). Write the expression for the magnetic field intensity for 0 a.arrow_forwardA conductor of length 100 cm moves at right angle to a uniform field flux density of 1.5 Wb/m with a velocity of 50 m/s. The e.m.f. induced in the conductor will be?arrow_forward
- A coadal cable has a surface charge density of-10 Cim, at the outer conductor and 10 Cim at the inner conductor The inner radius is 2 m, outer Xradius is 6 m and length of this coaxial cable is 100 m. What is the E field inside the inner conductor in between two conductors and outside of the outer conductor (You can leave the expression in terms of permittivity)arrow_forwardThe vector magnetic potential inside a conductive cylindrical conductor of radius b is given by A . H =?arrow_forwardQuestion A.4 A conductor of effective length 0.5 m is moved at an angle of 60 degrees to the direction of a magnetic field of flux density 100 mT, at a velocity of 1.8 m/s. What value of emf is induced into the conductor?arrow_forward
- A two sheets of current , the first of K1=10 ay (A/m) at Z=0, and the second of K2=-10ay (A/m) at Z=h, find the magnetic field intensity at all points?arrow_forwardQuestion One: A long conducting wire with a square cross-section of side length a carries a uniform electric current density J. We are interested in the component of the magnetic field tangential (parallel) to the surface of the conductor. a. What direction does the magnetic field point (cw or ccw) and what is its approximate magnitude (i.e. what is its average magnitude)? b. What method (or law) would you use to find its exact magnitude everywhere over the surface? conductor c. Is the normal component of the magnetic field exactly zero at the surface? Why or why not? d. If there also exists a total current I = Ja² flowing out of the page distributed uniformly over the surface of the conductor, is the magnetic field outside the conductor zero everywhere? Why or why not? e. If both the volume current (into the page) and the surface current (out of the page) are present, is the magnetic field inside the conductor clockwise, counter clockwise, or zero? Justify your answer.arrow_forwardPlane z = 0 separates air and metal. Air is at z < 0 and the metal is at z 2 0. Given the permeability of air is , and that of the metal is u=135 u,.If the magnetic field intensity in air is H =125â, +140â, - 50â, A/m, find the magnetic flux intensity, B in the metal and the angle formed at the interface. Then, Illustrate through figure representation how plane z can separating air and metal. Given : 4, = 47 x 10- H/m and & 10-9-7 F/m %3D 36лarrow_forward
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