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 5.3, Problem 10CQ
Compare the utility of applying the Biot–Savart law versus applying Ampère’s law for computing the magnetic field due to current-carrying conductors.
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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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- State Ampere's circuital law. Hence find the expression for the magnetic field strength ( B ) of a long current carrying solenoid.arrow_forwardWhat are the factors that determine the direction of the generated voltage in a conductor moving through a magnetic field?arrow_forward5) • Explain what happens when a long straight conductor is moved through a uniform magnetic field at constant velocity. Assume that the conductor moves perpendicularly to the field. If the ends of the conductor are connected through an ammeter, what will happen? • A conductor, 0.6 m long, is carrying a current of 75 A and is placed at right angles to a magnetic field of uniform flux density. Calculate the value of the magnetic flux density if the mechanical force on the conductor is 30 N.arrow_forward
- a filamentary wire is bent to form a square loop of side 3 m lying in the x -y plane as shown in the figure. If the current flowing in the wire is I = 1A, calculate the magnetic flux density at the center of the loop will bearrow_forward. Consider two wires of length 1m carrying currents i1 = 2A and i2 = 4A with directionindicated in the following figure. So answer what is asked.(a) What is the resultant magnetic field strength at point P in the figure?(b) Determine the distance d for the current cable i1 from a point Q where the field strengthresulting magnetic field is zero.(c) What would happen to the magnetic field strength if the current i1 were 4A?arrow_forwardDetermine the magnetic field strength and the mmf required to produce a flux density of 0.25T in an air gap of length 12mm.arrow_forward
- 1. For a current carrying conductor with 1 = 1A and an orientation and length of (0.1i+0.2j+0.1k)m and a Magnetic Flux Density of B = (1i-4j+2k)T. Find the resultant vector force using Lorent's force.arrow_forward26. Which of the following best describes the magnetic skin effect Degradation of the conductor skin due to high levels of magnetic field intensity experience by the conductor. A concentration in the flux density at the outer edges of the core due to effect of eddy currents. Magnetization of the conductor skin due to hysteresis. A lack of flux density at the outer edges of the core material as a result of circulation currents at the center of the core.arrow_forwardThe computation for the magnetic force due to a current carrying conductor requires the following except a. charge of the carriers b. carrier concentration c. dimension of conductor d. none of the choicesarrow_forward
- Find the force on a conductor 90 cm long, carrying a current of 2 A and is situated perpendicular to a magnetic field of flux density 0.8 T.arrow_forwardIf the intensity of the magnetic field is 100T, the length of the conductor is 10m and the magnitude of force perpendicular to the magnetic field is 10kN, calculate the current in the conductor.arrow_forwardA free standing linear conductor of length (l) carries a current (I) along the z-axis. Determine the flux density (B) at a point (P) located at distance (r) in the (x-y) plane. (see figure) Please write clearly.arrow_forward
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The Biot-Savart Law; Author: Jennifer Cash;https://www.youtube.com/watch?v=1BoIH6Quhiw;License: Standard Youtube License