Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 5.1, Problem 4E
A horizontal wire with a mass per unit length of 0.2 kg/m carries a current of 4 A in the +x direction. If the wire is placed in a uniform magnetic flux density B, what should the direction and minimum magnitude of B be in order to magnetically lift the wire vertically upward? [Hint: The acceleration due to gravity isg = −
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A steady current ? flows down a long cylindrical wire of radius ?. Find the magnetic field both inside and outside if,a) The current is uniformly distributed over the outside surface of the wire. b) The current is distributed in such a way that ? is proportional to ?, the distance from the axis.
check the image, explain step by step.
A long, solid, cylindrical wire of radius A has a current density given by j = j0r/A. Determine the magnetic field, within the wire, in terms of the total current "I" flowing through the wire.
Consider two coaxial solenoids with free space cores. Solenoid A is placed inside Solenoid B and solenoid B carries a current of 2I0 which creates a magnetic flux density of magnitude of B0. If the cross-sectional area, length and number of turns per length of Solenoid A are S, 4h and n respectively, calculate the mutual inductance between Solenoid A and Solenoid B.
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...
Knowledge Booster
Learn more about
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
- An infinitely long wire carrying current is extended along the z-axis. A square plate with edge length a, lying in the yz plane, is placed next to the wire. Find the magnetic flux passing through the plate surface.arrow_forwardA horizontal wire with a mass per unit length of 0.5 Kg/m carries a currentof 3Amperes in the +x direction. If the wire is placed in a uniform magneticflux densityB, find the minimum magnitude ofBin order to magnetically lift thewire vertically upward.arrow_forwardElectric flux density is given as:?⃗ = (?2 + ?)? ? + (3? − 5?2)? ? − (2??)? ?a) Determine the volume charge density at point (1,1,1).b) The flux through the cube defined by: 0 ≤ ? ≤ 1, 0 ≤ ? ≤ 1, 0 ≤ ? ≤ 1.c) Find the total charge enclosed by the cube.arrow_forward
- A current with a constant current density of Js=1π (A/m2 ) in the +z direction from the radius wire, and from the infinitely long cylindrical shell with inner radius b=3m and outer radius c=4m, constant I=4 Amperes homogeneously distributed in the cross section in the −z direction current is flowing. Accordingly, using the Ampere formula, calculate the magnetic field in regions r<a,a<r<b,b<r<c and r>c.arrow_forwardThe two long coaxial solenoids of radius a and b carry current I= 6 mA but in opposite directions. Solenoids are placed along y-axis as shown in figure. The inner solenoid has 2000 turns per unit length and outer solenoid has 1000 turns per unit length. Calculate Magnetic field intensity inside the inner solenoid will be??arrow_forwardIn the figure, an electron accelerated from rest through potential difference V1=1.15 kV enters the gap between two parallel plates having separation d = 22.2 mm and potential difference V2= 187 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?arrow_forward
- As shown in the figure, two environments with relative permeabilities of 1 and 5000 are separated from each other by the x-z plane.separated. 1. The normal component of the magnetic field strength of the medium and 2. The magnetic flux of the medium the tangent component of the density is given as H1n = ay(5 / n0) (A / m) and B2t = ax10 + az20 (T), respectively.Find B1 and H2.arrow_forwardA long, cylindrical wire has the cross-section of an annulus, i.e. region between twoconcentric circles, see the shaded area in figure a). The outer radius of the wire is 2R, the innerdiameter is R. Current I flows along the wire (perpendicularly into the page) in uniform distributionbetween radii R and 2R. 1)Find and plot the magnitude of the magnetic field as a function of distance r from thesymmetry axis of the wire.2) Suppose now that the cavity of radius R is not coaxial with the outer surface of the wire, asseen in figure b). Find the magnetic field at point P located in the center of the cavity. The currentdistribution in the wire is assumed to be uniform, the value of current is I.arrow_forwardConsider a long wire in the air (a thin perfectly conducting cylinder ofinfinite length) of radius r0 and charge per unit length q Cm−1.(a) State Gauss’ law for the electric flux density D.(b) The electric flux density D outside the wire varies with the radial distance rfrom the center of the wire. Use Gauss’ law to calculate the electric flux density Das a function of r for r larger than the radius of the wire.(c) What is the equation relating electric field E to electric flux density D in air?What is the electric field E as a function of r for r larger than r0?(d) Suppose we measure voltages relative to a point g outside the wire that is a radialdistance rg from the center of the wire. Write down an integral for the voltage V ofthe wire relative to the point g.(e) The capacitance of the wire per unit length is defined as q/V . If the radius r0of the wire increases, how does the capacitance per unit length change? Explain.arrow_forward
- An infinitely-long, hollow, conducting cylinder carries a uniform current I that flows parallel to its axis and into the paper. Its inner radius is a and its outer radius is b. Derive expressions for the magnetic field for (a) a < r < b and (b) r > b Note: See image for the figure.arrow_forwardConsider an infinitely long wire in the form of y2=4cx, which is in a stationary state. Another infinitely long wire parallel to the y-axis starts moving with an initial velocity of zero at t=0 from the initial position at x=0 with acceleration a ax. Assuming a magnetic flux density (magnetic induction) of B=B0 az throughout the region, determine the induced electromotive force on the moving wire as a function of time using Faraday's law.arrow_forwarda) A circular loop of radius ? carries current ? as shown in the figure. Find the magnetic flux density ?⃗ at a point on the axis of the loop by using Biot-Savart law. Show all the details of Biot-Savart formulation b) A surface charge density exists on the hemispherical surface of the radius ? shown in the figure given as??⃗⃗ =?0????ê?A/m where ?0 is constant. i) Find the total current flowing on the surface ii) Using the solution of part (a), find the magnetic flux density ?⃗ at the origin ?.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY