![Fundamentals of Physics, Volume 1, Chapter 1-20](https://www.bartleby.com/isbn_cover_images/9781118233764/9781118233764_largeCoverImage.gif)
Concept explainers
SSM ILW WWW The magnitude of the magnetic dipole moment of Earth is 8.0 × 1022 J/T. (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would he its radius? (b) What fraction of the volume of Earth would such a sphere occupy? Assume complete alignment of the dipoles. The density of Earth’s inner core is 14 g/cm3. The magnetic dipole moment of an iron atom is 2.1 × 10–23 J/T. (Note: Earth’s inner core is in fact thought to he in both liquid and solid forms and partly iron, but a permanent magnet as the source of Earth s magnetism has been ruled out by several considerations. For one, the temperature is certainly above the Curie point.)
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 32 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Additional Science Textbook Solutions
College Physics: A Strategic Approach (3rd Edition)
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
College Physics
Matter and Interactions
Conceptual Physical Science (6th Edition)
Physics for Scientists and Engineers with Modern Physics
- Suppose that the magnetic dipole moment of Earth is 7.9 x 1025 J/T. (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would be its radius? (b) What fraction of the volume of Earth would such a sphere occupy? The radius of Earth is 6.37 x 10° m. Assume complete alignment of the dipoles. The density of Earth's inner core is 14 g/cm?. The magnetic dipole moment of an iron atom is 2.1x 10-23 J/T. Iron has a molar mass of 55.9 g/mol. (Note: Earth's inner core is in fact thought to be in both liquid and solid forms and partly iron, but a permanent magnet as the source of Earth's magnetism has been ruled out by several considerations. For one, the temperature is certainly above the Curie point.) (a) Number i Units (b) Number i Unitsarrow_forwardA 2.50-kg metallic ball at rest is being pulled by a strange magnetic field of a comet. The force exerted by the comet (in newtons) is given by the function F (r) = –kre¯&", where: r: Distance from the comet's surface to the metallic ball, in meters. k =8.00 N m2 a 2.00 m-1 The metallic ball starts at a distant enough position from the comet such that the force is zero, then starts moving towards the comet. 1. What is the potential function U (r) of the comet? Use the condition U (ro) = lim,> U (r) = 0. 2. What is the metallic ball's speed (in m/s) once the steel ball is one meter above the comet?arrow_forwardA 2.50-kg metallic ball at rest is being pulled by a strange magnetic field of a comet. The force exerted by the comet (in newtons) is given by the function F (r) = –kre-r, where: r: Distance from the comet's surface to the metallic ball, in meters. k =8.00 N m2 a = 2.00 m 1 The metallic ball starts at a distant enough position from the comet such that the force is zero, then starts moving towards the comet. 1. What is the potential function U (r) of the comet? Use the condition U (ro) = lim, 00 U (r) = 0. 2. What is the metallic ball's speed (in m/s) once the steel ball is one meter above the comet? Justify your answer using your rationale and equations used.arrow_forward
- A particle with positive charge q = 4.49 x 10-18 C moves with a velocity v = (4î + 5j – k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. - (a) Calculate the total force on the moving particle, taking B = (5î + 5j + k) T and É = (3î – j - 2k) V/m. (Give your answers in N for each component.) F, = N F. y Fz (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) ° counterclockwise from the +x-axis (c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.) Ex V/m %D X. E V/m Ez V/marrow_forwardA negatif charge q= 2.20 x10-19 C moves with a velocity v=(i-3j+2k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force vector on the moving charge (in unit-vector notation), taking magnetic field vector B = (2i - 4j + 2k) I and electric field vectör E = (i + 2j - 3k) V/m. (b) Calculate the magnitude of the total force.arrow_forwardProblem. The electro-magnetic field in a microwave oven is given by Maxwell's equations: V × E = -μHt V x H = € Et + σE, where the vector E is the electric field and the vector H is the magnetic field. The constants ε, σ and μ are the permittivity, the electrical conduction and the permeability. In the air, one has ₁ = 8.85. 10-12, 0₁ = 0 and μ₁ = 4π 10-7. In the chicken, one has εp = 4.43 · 10-11, 3. 10-11 and Мр = 4π-10-7. (1) We assume that the solution to the above PDE is time-harmonic: ,σp = with w = E=E(x, y, z)eit, H = H(x, y, z)eiwt, 2πf=22.45 109. In this case, show that Maxwell's equations then read V × E = -iwμH V x H = iw E, with to be determined. (2) We assume that E = 0₂H = 0. Find a new equation for the third component of the electric field E3. This equation is Helmoltz's equation in 2d: Find equation for third component. AЕ3+w²μЕ3 = 0.arrow_forward
- Measurements in mines and boreholes indicate that Earth’s interior temperature increases with depth at the average rate of 30 C°/km. Assuming a surface temperature of 10°C, at what depth does iron cease to be ferromagnetic? (The Curie temperature of iron varies very little with pressure.)arrow_forwardWith a magnetic field strength of 3.00•10-4 T and an accelerating voltage of 21.0 V, an electron beam is observed to follow a circular path with a radius 5.00 cm. From these values, determine the ratio e/me. Give answer in C/kg to three significant figures.arrow_forwardCalculate the magnitude of magnetic field at a distance of (4.810x10^0) mm from a long straight wire with a current of (8.1x10^0) amps flowing in it. Give your answer in Tesla, to 2 sf.arrow_forward
- A particle with positive charge q = 3.68 x 10-18 C moves with a velocity v = (51 + 5ĵ - k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking B = (51 + 2ĵ+ k) T and E = (3î – ĵ– 2k) V/m. (Give your answers in N for each component.) N N N Fx = F = Y (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) X Note that the dot product of a vector with a unit vector î gives · 1 = V cos(0) where is the angle between the two vectors.° counterclockwise from the +x-axis (c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.) V/m V/m V/m Ex Ev = =arrow_forwardA magnet in the form of a cylindrical rod has a length of 5.00 cm and a diameter of 1.00 cm. It has a uniform magnetization of 5.30* 10^3 A/m.What is its magnetic dipole moment?arrow_forwardProblem 7: An alpha particle (consisting of two protons and two neutrons), traveling at a speed of v = 1.4 x 105 m/s, enters a region of constant magnetic fi eld of strength B = 1.8 T as shown in the fi gure. The direction of B is out of the image. The alpha follows a path that is a circular arc of radius r. Part (a) In atomic mass units, what is the mass m of an alpha particle? Part (b) In units of elementary charge e, what is the electric charge q of an alpha particle? Part (c) In meters, what is the radius of curvature r of the path taken by the alpha particle?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)