EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Question
Chapter 5.7, Problem 15CQ
To determine
The magnetic field like in the interior of a long solenoid.
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A core with three legs is shown in the figure below. The depth of the core is 5cm, and there are 100 turns on the
leftmost leg. The relative permeability of the core can be assumed to be 2000 and constant. What flux exists in each
of the three legs of the core? What is the magnetic field in each of the legs? Assume a 5percent increase in the
effective area of the air gap due to fringing effects.
9 cm
9 cm
25 cm
15
cm
-25 cm
9 cm
2 A
100 turns
0.05 cm
25 cm
9 cm
Core depth = 5 cm
What is the fundamental cause of magnetic fields?
If an aluminum sheet is held between the poles of a largebar magnet, it requires some force to pull it out of the magnetic field even though the sheet is not ferromagnetic anddoes not touch the pole faces. Explain.
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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- Question An air core toroid with 500 turns having a cross section area of 6 cm² and a mean radius of 15 cm is carrying a current of 5 A. What is the magnetic flux density at the mean radius?arrow_forwardIf you have a bar magnet being dropped with its north pole entering the solenoid first, how does the magnetic flux change as a function of time in the solenoid given the following scenarios: far away from solenoid about to enter solenoid inside top half of solenoid middle of solenoid inside bottom part of solenoid exiting solenoid far away from solenoidarrow_forward7) A square magnetic core has a mean path length of 55 cm and a cross- sectional area of 150 cm². A 200-turn coil of wire carrying a current of 0.316 A is wrapped around one leg of the core. What is the magnetomotive force created by the system?arrow_forward
- Which one or ones of the following statements about an ideal solenoid carrying a uniform current are true? I) The solenoid effectively has north and south poles. II) The magnetic field is uniform everywhere inside and outside of the solenoid. III) The magnitude of the magnetic field depends on the number of turns per length. O A) I and II O B) Il and II O C) I and II O D) I O E) IIarrow_forwardIn a Curie-type paramagnet, all the ions with magnetic moments contribute to the total susceptibility, but in a metal, only very few of the free electrons contribute to Pauli paramagnetism. Why?arrow_forwardA ten-turn solenoid has a ferromagnetic core with a relative permeability of 10,000. The length of the solenoid is l=10 cm and its cross section area is A=1 cm2. The amount of current driving the solenoid is 0.1 A. Determine the magnetic flux intensity H in the core. Provide your answer in A/m. Round off to your answer to one decimal.arrow_forward
- Given a Magnetic flux density R-5-2 4. what is the Magnetic Flux exiting the closed surface of the shape defined by -2 s ps2 and 1szs4 ? O 75 O 6T O Zero O 300TT O 120Tarrow_forwardhow do i solve this problemarrow_forwardA ten-turn solenoid has a ferromagnetic core with a relative permeability of 10,000. The length of the solenoid is l=10 cm and its cross section area is A=1 cm2. The amount of current driving the solenoid is 0.1 A. Determine the magnetic flux density B in the core. Provide your answer in milli Tesla. Round off to your answer to one decimal.arrow_forward
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