University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 12, Problem 1CQ
For calculating magnetic fields, what are the advantages and disadvantages of the Biot-Savart law?
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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. 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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- A 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_forwardThe two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I1= 10 A and I2= 20 A, what is tire magnetic field at point P?arrow_forwardElectrons in Earths upper atmosphere have typical speeds near 6.00 105 m/s. (a) Calculate the magnitude of Earths magnetic field if an electrons velocity is perpendicular to the magnetic field and its circular path has a radius of 7.00 102 m. (b) Calculate the number of times per second that an electron circles around a magnetic field line.arrow_forward
- A cosmic-ray proton in interstellar space has an energy of 10.0 MeV and executes a circular orbit having a radius equal to that of Mercury’s orbit around the Sun (5.80 × 1010 m). What is the magnetic field in that region of space?arrow_forwardA current of 1.5 A flows through the windings of a large, thin toroid with 200 turns per meter. If the toroid is filled with iron for which =3.0103 , what is the magnetic field within it?arrow_forwardCalculate 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_forward
- Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown and is changing withtime. Identity those paths for which =EdI0 .arrow_forwardA long-rigid wire lies along the x-axis and cairns a current of 2.5 A in the positive x-direction. Around the wire is the magnetic field B=2.0i+5.0x2j, With x in meters and B in millitesla. Calculate the magnetic force on the segment of wire between x=2.0m and x=4.0m .arrow_forwardHow would you orient two long, straight, current carrying wires so that there is no net magnetic force between them? (Hint: What orientation would lead to one wire not experiencing a magnetic field from the other?)arrow_forward
- A 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 the magnetic field due to the current in the wire shown in Figure 22.24. Rank the points A, B, and C in terms of magnitude of the magnetic field that is due to the current in just the length element ds shown, from greatest to least. Figure 22.24 (Quick Quiz 22.4) Where is the magnetic field the greatest?arrow_forwardA 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a terminal velocity of 2.0 m's. (a) What is the net map,-, eh: force on the sheet after it reaches terminal velocity? (b) Describe the mechanism responsible for this force, (c) How much power is dissipated as Joule heating while the sheet moves at terminal velocity?arrow_forward
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Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY