University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 12, Problem 12CQ
Is the magnetic field inside a toroid completely uniform? Almost uniform?
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Check out a sample textbook solutionChapter 12 Solutions
University Physics Volume 2
Ch. 12 - Check Your Understanding Using Example 12.1, at...Ch. 12 - Check Your Understanding The wire loop forms a...Ch. 12 - 12.3 Check Your Understanding Using Example 12.3,...Ch. 12 - 12.4 Check Your Understanding Two wires, both...Ch. 12 - Check Your Understanding Using Example 12.5, at...Ch. 12 - Check Your Understanding Consider using Ampere’s...Ch. 12 - 12.7 Check Your Understanding What is the ratio of...Ch. 12 - Check your Understanding Repeat the calculations...Ch. 12 - For calculating magnetic fields, what are the...Ch. 12 - Describe the magnetic field due to the current in...
Ch. 12 - How can you decide if a wire is infinite?Ch. 12 - Identical currents are carried in two circular...Ch. 12 - How would you orient two long, straight, current...Ch. 12 - Compare and contrast the electric field of an...Ch. 12 - Is B constant in magnitude for points that lie on...Ch. 12 - Is the magnetic field of a current loop uniform?Ch. 12 - What happens to the length of a suspended spring...Ch. 12 - Two concentric circular wines with different...Ch. 12 - Is Ampere’s law valid for all closed paths? Why...Ch. 12 - Is the magnetic field inside a toroid completely...Ch. 12 - Explain why B=0 inside a long, hollow copper pipe...Ch. 12 - A diamagnetic material is brought dose to a...Ch. 12 - If you cut a bar magnet into two pieces, will you...Ch. 12 - A 10-A current flows through the wire shown. What...Ch. 12 - Ten amps flow through a square loop where each...Ch. 12 - What is the magnetic field at P due to the current...Ch. 12 - The accompanying figure shows a current loop...Ch. 12 - Find the magnetic field at the center C of the...Ch. 12 - Two long wires, one of which has a semicircular...Ch. 12 - A typical currant in a lightning bolt is 104 A....Ch. 12 - The magnitude of the magnetic field 50 cm from a...Ch. 12 - A transmission line strung 7.0 m above the ground...Ch. 12 - A long, straight, horizontal wire carries a...Ch. 12 - The two long, parallel wires shown in the...Ch. 12 - The accompanying figure shows two long, straight,...Ch. 12 - Repeat the calculations of the preceding problem...Ch. 12 - Consider the area between the wires of the...Ch. 12 - Two long, straight wires are parallel and 25 cm...Ch. 12 - Two long, straight wires are parallel and 10 cm...Ch. 12 - Two long, parallel wires are hung by cords of...Ch. 12 - A circuit with current I has two long parallel...Ch. 12 - The infinite, straight wire shown in the...Ch. 12 - When the current through a circular loop is 6.0 A,...Ch. 12 - How many turns must be wound on a flat, circular...Ch. 12 - A flat, circular loop has 20 turns. The radius of...Ch. 12 - A circular loop of radius R carries a current I....Ch. 12 - Two flat, circular coils, each with a radius R and...Ch. 12 - For the coils in the preceding problem, what is...Ch. 12 - A current 1 flows around the rectangular loop...Ch. 12 - Evaluate BdI for each of the cases shown in the...Ch. 12 - The coil whose lengthwise cross section is shown...Ch. 12 - A superconducting wire of diameter 0.25 cm carries...Ch. 12 - A long, straight wire of radius R caries a current...Ch. 12 - The accompanying figure shows a cross-section of a...Ch. 12 - A long, solid, cylindrical conductor of radius 3.0...Ch. 12 - A portion of a long, cylindrical coaxial cable is...Ch. 12 - A solenoid is wound with 2000 turns pet meter....Ch. 12 - A solenoid has 12 turns per centimeter. What...Ch. 12 - If a current is 2.0 A, bow many turns per...Ch. 12 - A solenoid is 40 cm long, has a diameter of 3.0...Ch. 12 - Determine the magnetic field on the central axis...Ch. 12 - By how much is the approximation B=0nI in error at...Ch. 12 - A solenoid with 25 turns per centimeter carries a...Ch. 12 - A toroid has 250 trims of wire and carries a...Ch. 12 - A toroid with a square cross section 3.0cm3.0cm...Ch. 12 - The magnetic field in the core of an air-filled...Ch. 12 - A solenoid has a ferromagnetic core, n = 1000...Ch. 12 - A 20-A current flows through a solenoid with 2000...Ch. 12 - The magnetic dipole moment of the iron atom is...Ch. 12 - Suppose you wish to produce 1.2-T magnetic field...Ch. 12 - A current of 1.5 A flows through the windings of a...Ch. 12 - A solenoid with an iron core is 25 cm long and is...Ch. 12 - Three long, straight, parallel wires, all carrying...Ch. 12 - A current I flows around a wire bent into the...Ch. 12 - The accompanying figure shows a long, straight...Ch. 12 - Current flows along a thin, infinite sheet as...Ch. 12 - (a) Use the result of the previous problem to...Ch. 12 - We often assume that the magnetic field is uniform...Ch. 12 - How is the percentage change in the strength of...Ch. 12 - Show that the expression for the magnetic field of...Ch. 12 - A toroid with an inner radius of 20 cm and an...Ch. 12 - A wire element has dI,IdI=JAdl=Jdv , where A and...Ch. 12 - A reasonably uniform magnetic field over a limited...Ch. 12 - A charge of 4.0C .s distributed uniformly around a...Ch. 12 - A thin, nonconducting disk of radius R is free to...Ch. 12 - Consider the disk in the previous problem....Ch. 12 - Consider the axial magnetic field...Ch. 12 - The current density in the long, cylindrical wire...Ch. 12 - A long, straight, cylindrical conductor contains a...Ch. 12 - Between the two ends of a horseshoe magnet the...Ch. 12 - Show that the magnetic field of a thin wire and...Ch. 12 - An Ampere loop is chosen as shown by dashed lines...Ch. 12 - , A ray long, thick, cylindrical wire of radius R...Ch. 12 - A very long, cylindrical wire of radius a has a...Ch. 12 - Magnetic field inside a torus. Consider a torus of...Ch. 12 - Two long coaxial copper tubes, each of length L,...Ch. 12 - The accompanying figure shows a flat, infinitely...Ch. 12 - A hypothetical current flowing in the z-direction...Ch. 12 - A nonconducting hard rubber circular disk of...
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- Calculate the magnitude of the magnetic field at a point 25.0 cm from a long, thin conductor carrying a current of 2.00 A.arrow_forwardSketch a plot of the magnitude of the magnetic field as a function of position r for a coax (Fig. P31.27).arrow_forwardA wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.arrow_forward
- A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e, mass 4mp) are accelerated from rest through a common potential difference V. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius p. In terms of p, determine (a) the radius rd of the circular orbit for the deuteron and (b) the radius r for the alpha particle.arrow_forwardA solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current through the solenoid is 10 A, the magnetic field inside it is 2.0 T. For this current, what is the permeability of the iron? If the current is turned off and then restored to 10 A, will the magnetic field necessarily return to 2.0 T?arrow_forwardConsider an electron rotating in a circular orbit of radius r. Show that the magnitudes of the magnetic dipole moment and the angular momentum L of the electron are related by: = L=e2marrow_forward
- How is the percentage change in the strength of the magnetic field across the face of the toroid related to the percentage change in the radial distance from the axis of the toroid?arrow_forwardDoes increasing the magnitude of a uniform magnetic field through which a charge is traveling necessarily mean increasing the magnetic force on the charge? Does changing the direction of the field necessarily mean a change in the force on the charge?arrow_forwardA toroid with a square cross section 3.0cm3.0cm has an inner radius of 25.0 cm. It is wound with 500 turns of wire, and it carries a current of 2.0 A. What is the strength of the magnetic field at the center of the square cross section?arrow_forward
- A circular coil of radius 5.0 cm is wound with five turns and carries a current of 5.0 A. If the coil is placed in a uniform magnetic field of strength 5.0 T, what is the maximum torque on it?arrow_forwardA thin, nonconducting disk of radius R is free to rotate around the axis that passes through its center and is perpendicular to the face of the disk. The disk is charged uniformly with a total charge q. If the disk rotates at a constant angular velocity , what is tire magnetic field at its center?arrow_forwardCan a constant magnetic field set into motion an electron initially at rest? Explain your answer.arrow_forward
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