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
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 20P
A square loop placed as shown in Fig. P5.20 has 2 m sides and carries a current I1 = 5A. If a straight, long conductor carrying a current I2 = 10A is introduced and placed just above the midpoints of two of the loop’s sides, determine the net force acting on the loop.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Goal:The intent of this problem is to understand how electrostatic models can be used outside of electrical engineering. This basic model is used to understand chemical
reactions, bonding, and other forms of atomic processes. It also shows you the strength of electrostatic forces in an atom.
The Thomson model of a hydrogen atom is a sphere of positive charge with radius Ro with an electron (a point charge) at its center. The total positive charge equals the electronic
charge q. What is the force of attraction between an electron at a distance R from the center of the sphere of positive charge?
OOOO
qR
4π€, Ro
O
q²R
3πEO
q²R
4π€, Ro
Two long straight current-carrying wires are lined up parallel to one another in vacuum at a distance d. Currents of I and I2 flow through the
wires, both in the same direction generating the field of BM at a midpoint between them. Write down an expression for BM in terms of the
1. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the
currents running in each of the wires. Assume vacuum permeability Ho
1
usual "+" and "-" signs as appropriate. For
use 1/(A*B). For Greek letters such as å or n use lambda and pi. Please use the "Display
A*B
response" button to check you entered the answer you expect.
Вм-
An air core solenoid has a length of 10 cm and a cross-sectional area of 5 cm?. If it is wound with 3000
turns of wire, determine a) the self-inductance of the solenoid, b) the energy stored when a current of 5
A flows through it and c.) the induced emf when the current is cut off after 10 ms.
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
- A coil consists of 100 turns of wire in shape of circle placed in the y-z plane. The loop has an area of 1m2 Two magnetic fields linking the surface of the loop: The first one is given by: B1 = –10t² The second one is B2 = 20isin(2w)t Find vtr emf Select one: O a. vtr 2000t – 4000.w.cos(2w)t emf O b. 0 O c. vtr emf = -20t + 40.w.cos(2w)t O d. vtr -2000t + 4000.w. cos(2w)t emf O e. vtr emf 20t – 40.w.cos(2w)t O f. vtr = 20t emf O g. vemf - 40.w.cos(2w)t %3Darrow_forwardA cylindrical solenoid 49 cm long with a radius of 7 mm has 325 tightly-wound turns of wire uniformly distributed along its length (see the figure). Around the middle of the solenoid is a two-turn rectangular loop 3 cm by 2 cm made of resistive wire having a resistance of 135 ohms. One microsecond after connecting the loose wire to the battery to form a series circuit with the battery and a 20 resistor, what is the magnitude of the current in the rectangular loop and its direction (clockwise or counter-clockwise in the diagram)? (The battery has an emf of 9 V.)arrow_forwardBoth the Biot-Savart and Coulomb's laws exhibit an inverse-square relationship between field and source.? True O Falsearrow_forward
- A solenoid (made as a long coil) is a type of electromagnet, the purpose of which is to generate a controlled magnetic eld through a coil wound into a tightly packed helix. Starting from rst principles, derive a formula that provides us the self-inductance of a solenoid (with N windings) of length l and cross-sectional area A.arrow_forwardTwo long straight aluminum wires, each of diameter 0.40 mm, carry the same current but in opposite directions. They are suspended by 1.0-m-long strings as shown in the figure. If the suspension strings make an angle of 4.0° with the vertical and are hanging freely, what is the current in the wires? (density of aluminum = 2.7 g/cm³, g=9.80 m/s?) 80 The answer is integer. 1.0 marrow_forwardMutual induction (will the induced current in the loop induce a current in the straight conductor?), draw a figure illustrating this? Please write to me with pc text typing because I can't read the handwriting.arrow_forward
- Explanation: The given statement is half true as steady current can generate the magnetic field but other half is false as the global charge conservation law is also obeyed by steady current. The steady current is the constant flow of charge in an electric wire. As moving charges always generates magnetic field in the neighborhood space. The global charge conservation law states that the total charge is conserved in an isolated system. Steady currents have to obey the law of charge conservation. Consider some region of space completely enclosed by the balloon-like surface S. The surface integral of J over all of S gives the rate at which charge is leaving the volume enclosed. Now if charge forever pours out of, or into, a fixed volume, the charge density inside must grow infinite, unless some compensating charge is continually being created there. But charge creation is just what never happens. Therefore, for a truly time- independent current distribution, the surface integral of J…arrow_forward4) We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have resistance albeit small - usually less than an ohm. With this in mind: a. Consider a uniform cylindrical copper wire that has diameter of 1 mm and is 10 m long. What is the resistance of this wire? The resistivity of copper is 1.72 x 10-8 9-m. b. This wire is cut in half, and the two strands are used to connect an electric heater to an outlet supplying 1500 W at 120 V. Draw a simple circuit diagram, including the voltage source, resistances of the connector wires, and the calculated resistance for the heater. C. How much of the total 1500 W is absorbed by the connector wires, not by the electric heater? d. If the specific heat and density of copper are 385 J/kg°C and 8940 kg/m³ respectively, how much will the connector wires heat up after 1 minute of use? (Assume all energy absorbed by the connector wires is converted to heat and remains in the copper wire.) Remember that E cmAT,…arrow_forward1. Inductance. Consider the configuration of a wire with 90° bends as shown below. A small loop, with its sides of length a and width d = a/16 is placed with its plane lying along xz principal plane as shown. Stating all assumptions, determine mutual inductance between the loop and the wire. a/2 9/2 2aarrow_forward
- Q.1 (a) A filament loop that will carry current I is to be bent and take the form of a regular polygon with all sides having the same length. Angle from the centre of any regular polygon to one of its side is given as 2t/n as shown in Figure Q.1(a) where n is the number of sides that the polygon has. The radius of circle circumscribing the polygon is r. Using Biot - Savart's Law, determine magnetic field intensity, H at the centre of the polygon-loop to be designed with respect to n. (5 marks) 2п п r Figure Q.1(a)arrow_forwardProblem begins here: A piece of electrical component inside a gaming laptop uses a source of electromotive force, resistor, and inductor. If the voltage, resistance, and inductance are 4sin4t volts, 2 ohms, and 1 henry, respectively, what is the current along the circuit after 2 seconds when the initial current applied to the circuit is 0.6 amperes? Assume Kirchhoff's Voltage Law applies which states that travelling around any loop/circuit, the gains and losses of voltage across the elements add up to zero. Do not round off intermediate steps. Round off the final answer to two decimal places.arrow_forwardIn the Coulomb force expression for the point particles, F=k, 9192 23- ,what is the SI unit of k. ? kg' m O A) 5-C kg m B) sC kg-m kg-m? D) 5c kg*-m? E) 5Carrow_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:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering 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,
03 - The Cartesian coordinate system; Author: Technion;https://www.youtube.com/watch?v=hOgKEplCx5E;License: Standard YouTube License, CC-BY