University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 12, Problem 8CQ
Is the magnetic field of a current loop uniform?
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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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- Is the magnetic field inside a toroid completely uniform? Almost uniform?arrow_forwardA square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?arrow_forwardThe current in a long solenoid of radius 3 cm and 20 turns cm is varied with time at a rate of 2 A/s. Find the electric field at a distance of 4 cm from die center of the solenoid.arrow_forward
- 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_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_forwardWhen the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0104 T. What is the radius of the loop?arrow_forward
- The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1= 3.0 cm and outer radius r2= 5.0 cm. A 50-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 2.0 cm. r = 4.0 cm. and r = 6.0 cm.arrow_forwardA cosmic-ray electron moves at 7.5 × 106 m/sinches perpendicular to Earth’s magnetic field at an altitude queer the field strength is 1.0 × 105T. What is the radius of the circular path the electron follows?arrow_forwardCan a constant magnetic field set into motion an electron initially at rest? Explain your answer.arrow_forward
- Solenoid A has length L and N turns, solenoid B has length 2L and N turns, and solenoid C has length L/2 and 2N turns. If each solenoid carries the same current, rank the magnitudes of the magnetic fields in the centers of the solenoids from largest to smallest.arrow_forwardA bar magnet falls under the influence of gravity along the axis of a long copper tube. If air resistance is negligible, will there be a force to oppose the descent of the magnet? If so, will the magnet reach a terminal velocity?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
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