College Physics
1st Edition
ISBN: 9781938168048
Author: Paul Peter Urone, OpenStax, Roger Hinrichs
Publisher: OpenStax
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Textbook Question
Chapter 24, Problem 5PE
Verify the units obtained for magnetic field strength B in Example 24.1 (using the equation
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Verify the units obtained for magnetic field strength in attached Example 24.1 (using the equation B = E/c ) are in fact teslas (T).
4.30P) Magnetic dipole density of a material is M = M,2 + M./Rf Calculate the current densities,
and total magnetic dipoles.
a) If the geometry is a cylinder with length of L and radius of R (In this case M = M,2 + M,/Rp and
p is unit vector in cylindrical coordinates.).
b) If the geometry of material is a solid sphere with radius R. (In this case M = M,ż + M./Rf and f
is unit vector in spherical coordinates.)
Given: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity)
a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q).
b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.
Chapter 24 Solutions
College Physics
Ch. 24 - The direction of the electric field shown in each...Ch. 24 - Is the direction of the magnetic field shown in...Ch. 24 - Why is the direction of the current shown in each...Ch. 24 - In which situation shown in Figure 24.24 will the...Ch. 24 - In which situation shown in Figure 24.25 will the...Ch. 24 - Should the straight wire antenna of a radio he...Ch. 24 - Under what conditions might wires in a DC circuit...Ch. 24 - Give an example of interference of electromagnetic...Ch. 24 - Figure 24.26 shows the interference pattern of two...Ch. 24 - Can an antenna be any length? Explain your answer.
Ch. 24 - If you live in a region that has a particular TV...Ch. 24 - Explain why people who have the lens of their eye...Ch. 24 - How do ?uorescent soap residues make clothing look...Ch. 24 - Give an example of resonance in the reception of...Ch. 24 - Illustrate that the size of details of an object...Ch. 24 - Why don't buildings block radio waves as...Ch. 24 - Make a list of some everyday objects and decide...Ch. 24 - Your friend says mat more patterns and colors can...Ch. 24 - The rate at which information can be transmitted...Ch. 24 - Give an example of energy carried by an...Ch. 24 - In an MRI scan, a higher magnetic field requires...Ch. 24 - Laser vision correction often uses an excimer...Ch. 24 - Verify that the correct value for the speed of...Ch. 24 - Show that, when SI units for 0 and 0 are entered,...Ch. 24 - What is the maximum electric field strength in an...Ch. 24 - The maximum magnetic field strength of an...Ch. 24 - Verify the units obtained for magnetic field...Ch. 24 - (a) Two microwave frequencies are authorized for...Ch. 24 - (a) Calculate the range of wavelength for AM radio...Ch. 24 - A radio station utilizes frequencies between...Ch. 24 - Find the frequency range of visible light, given...Ch. 24 - Combing your hair leads to excess electrons on the...Ch. 24 - Electromagnetic radiation having a 15.0m...Ch. 24 - Approximately what is the smallest detail...Ch. 24 - A radar used to detect the presence of aircraft...Ch. 24 - Some radar systems detect the size and shape of...Ch. 24 - Determine the amount of time it takes for X-rays...Ch. 24 - If you wish to detect details of the size of atoms...Ch. 24 - If the Sun suddenly turned off, we would not know...Ch. 24 - Distances in space are often quoted in units of...Ch. 24 - A certain 50.0-Hz AC power line radiates an...Ch. 24 - During normal bee?ng, the heat creates a maximum...Ch. 24 - (a) The ideal size (most efficient) for a...Ch. 24 - (a) What is the wavelength of 100MHz radio waves...Ch. 24 - (a) What is the frequency at the 193-nm...Ch. 24 - TV-reception antennas for VHF are constructed with...Ch. 24 - Conversations with astronauts on lunar walks had...Ch. 24 - Lunar astronauts placed a reflector on the Moon's...Ch. 24 - Radar is used to determine distances to various...Ch. 24 - Integrated Concepts (a) Calculate the ratio of the...Ch. 24 - Integrated Concepts (a) Calculate the rate in...Ch. 24 - What is the intensity of an electromagnetic wave...Ch. 24 - Find the intensity of an electromagnetic wave...Ch. 24 - Assume the helium-neon lasers commonly used in...Ch. 24 - An AM radio transmitter broadcasts 50.0 kW of...Ch. 24 - Suppose the maximum safe intensity of microwaves...Ch. 24 - A 2.50-m-diameter university communications...Ch. 24 - Lasers can be constructed that produce an...Ch. 24 - Show that for a continuous sinusoidal...Ch. 24 - Suppose a source of electromagnetic waves radiates...Ch. 24 - Integrated Concepts An LC circuit with a 5.00pF...Ch. 24 - Integrated Concepts What capacitance is needed in...Ch. 24 - Integrated Concepts Police radar determines the...Ch. 24 - Integrated Concepts Assume the mostly infrared...Ch. 24 - Integrated Concepts On its highest power se1ting,...Ch. 24 - Integrated Concepts Electromagnetic radiation from...Ch. 24 - Integrated Concepts A 200-turn flat coil of wire...Ch. 24 - Integrated Concepts If electric and magnetic field...Ch. 24 - Unreasonable Results A researcher measures the...Ch. 24 - Unreasonable Results The peak magnetic field...Ch. 24 - Unreasonable Results An LC circuit containing a...Ch. 24 - Unreasonable Results An LC circuit containing a...Ch. 24 - Create Your Own Problem Consider electromagnetic...Ch. 24 - Create Your Own Problem Consider the most recent...
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- Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius o and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r d. (Hint: Hunk of copper tubes as a capacitor and find the charge density based on the voltage applied, Q=VC, C=20LIn(c/b) .)arrow_forwardIs B constant in magnitude for points that lie on a magnetic field line?arrow_forwardDetermine the initial direction of the deflection of charged particles as they enter the magnetic fields as shown in Figure P22.2. Figure P22.2.arrow_forward
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