University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 12, Problem 89CP
The accompanying figure shows a flat, infinitely long sheet of width a that carries a current I uniformly distributed across it. Find the magnetic field at the point P, which is in the plane of the sheet and at a distance x from one edge. Test your result for the limit a ? 0.
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The arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate:
The magnitude of the magnetic field at point P due to the wire located along segment ab.
The arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate:
The magnitude of the magnetic field at point P due to the wire located along segment ab.The answer is in the second image. I am trying to use the standard biot-savart, which is B = (μ0*I/4π) * ∫dl * sinθ / r^2, and it always gives me 16*pi*l at the denominator, instead of 8pi*l.
Solve it using B = (μ0*I/4π) * ∫dl * sinθ / r^2, and note that the image with the answer is correct.
Consider an infinitely long, thick, cylindrical shell with an inner radius a and outer radius b. A current I is uniformly distributed across the shell (i.e., in the region a < r < b), coming out of the page.(a) Use Ampere’s law to derive equations for the magnitude of the magnetic field in all three regions (i.e., for 0 < r < a, a < r < b, and r > b).(b) Show that the magnetic field is continuous at r = a and r = b.
Chapter 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. 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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. 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