To determine To show that the torque on an irregularly shaped planar loop due to a perpendicular magnetic field is τ = N I A B using the given method and to generalize the argument to a loop of any shape. Explanation There are four loops. Label them from 1 to 4 starting with the top as 1 , the one below it as 2 and so on. Write the equation for the torque of a single loop. τ = I A B (I) Here, τ is the torque, I is the current, A is the area and B → is the magnetic field Refer to figure b and find the torque for each loop. Find the torque of loop 1. τ 1 = I ( 4 a 2 ) B (II) Here, τ 1 is the torque of loop 1 Find the torque of loop 2. τ 2 = I ( 10 a 2 ) B (III) Here, τ 2 is the torque of loop 2 Find the torque of loop 3. τ 3 = I ( 7 a 2 ) B (IV) Here, τ 3 is the torque of loop 3 Find the torque of loop 4. τ 4 = I ( 4 a 2 ) B (V) Here, τ 4 is the torque of loop 4 Write the equation for the sum of the torques. Σ τ = τ 1 + τ 2 + τ 3 + τ 4 Put equations (II) to (V) in the above equation

3rd Edition

ISBN: 9780073512150

Author: Alan Giambattista, Betty Richardson, Robert C. Richardson Dr.

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequen…

Videos

Question

Chapter 19, Problem 62P

To determine

To show that the torque on an irregularly shaped planar loop due to a perpendicular magnetic field is τ=NIAB using the given method and to generalize the argument to a loop of any shape.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 61P

Chapter 19, Problem 63P

Students have asked these similar questions

Blue light has a wavelength of 485 nm. What is the frequency of a photon of blue light? Question 13 Question 13 What is the wavelength of radiofrequency broadcast of 104 MHz? Question 14 Question 14 1 Point 3. The output intensity from an x-ray exposure is 4 mGy at 90 cm. What will the intensity of the exposure be at 180 cm? Question 15 Question 15 1 Point What is the frequency of an 80 keV x-ray?

Under what condition is IA - BI = A + B? Vectors À and B are in the same direction. Vectors À and B are in opposite directions. The magnitude of vector Vectors À and 官 B is zero. are in perpendicular directions.

For the vectors shown in the figure, express vector 3 in terms of vectors M and N. M S =-M+ Ň == S=м- Ñ S = M +Ñ +N

Chapter 19 Solutions

Physics

Ch. 19.2 - 19.2 An electron is moving with speed v in a...Ch. 19.2 - 19.1 Acceleration of Cosmic Ray Particle If v =...Ch. 19.2 - 19.2 Magnetic Force on an Electron Find the...Ch. 19.2 - Practice Problem 19.3 Velocity Component Parallel...Ch. 19.3 - 19.4 Ion Speed The magnetic field used in the mass...Ch. 19.3 - 19.5 Increasing Kinetic Energy in a Proton...Ch. 19.4 - 19.4 A particle’s helical motion is shown in Fig....Ch. 19.5 - 19.5 (a) , points east, and q is negative, so ...Ch. 19.5 - Practice Problem 19.6 Deflection of a Particle...Ch. 19.5 - Prob. 19.7PP

Ch. 19.6 - 19.6 Suppose the magnetic field in Fig. 19.28 were...Ch. 19.6 - 19.8 Magnetic Force on a Current-Carrying Wire A...Ch. 19.7 - CHECKPOINT 19.7 Suppose the coil of wire in Fig....Ch. 19.7 - Practice Problem 19.9 Torque on a Coil Starting...Ch. 19.8 - 19.8 What is the direction of the magnetic field...Ch. 19.8 - 19.10 Field Midway Between Two Wires Find the...Ch. 19.9 - Prob. 19.11PP Ch. 19 - Prob. 1CQ Ch. 19 - Prob. 2CQ Ch. 19 - Prob. 3CQ Ch. 19 - Prob. 4CQ Ch. 19 - Prob. 5CQ Ch. 19 - Prob. 6CQ Ch. 19 - Prob. 7CQ Ch. 19 - Prob. 8CQ Ch. 19 - Prob. 9CQ Ch. 19 - Prob. 10CQ Ch. 19 - Prob. 11CQ Ch. 19 - Prob. 12CQ Ch. 19 - Prob. 13CQ Ch. 19 - Prob. 14CQ Ch. 19 - Prob. 15CQ Ch. 19 - Prob. 16CQ Ch. 19 - Prob. 17CQ Ch. 19 - Prob. 18CQ Ch. 19 - Prob. 19CQ Ch. 19 - Prob. 20CQ Ch. 19 - Prob. 21CQ Ch. 19 - Prob. 22CQ Ch. 19 - Prob. 23CQ Ch. 19 - Prob. 1MCQ Ch. 19 - Prob. 2MCQ Ch. 19 - Multiple-Choice Questions 1-4. In the figure, four...Ch. 19 - Prob. 4MCQ Ch. 19 - Prob. 5MCQ Ch. 19 - Prob. 6MCQ Ch. 19 - Prob. 7MCQ Ch. 19 - Prob. 8MCQ Ch. 19 - Multiple-Choice Questions 6-9. A wire carries...Ch. 19 - Prob. 10MCQ Ch. 19 - 11. The magnetic forces that two parallel wires...Ch. 19 - Prob. 12MCQ Ch. 19 - 1. At which point in the diagram is the magnetic...Ch. 19 - 2. Draw vector arrows to indicate the direction...Ch. 19 - Problems 3-6. Sketch some magnetic field lines for...Ch. 19 - Prob. 4P Ch. 19 - Prob. 5P Ch. 19 - Problems 3–6. Sketch some magnetic field lines for...Ch. 19 - 7. Find the magnetic force exerted on an electron...Ch. 19 - 8. Find the magnetic force exerted on a proton...Ch. 19 - 9. A uniform magnetic field points north; its...Ch. 19 - 10. A uniform magnetic field points vertically...Ch. 19 - Problems 11-14. Several electrons move at speed...Ch. 19 - 12. Find the magnetic force on the electron at...Ch. 19 - 12. Find the magnetic force on the electron at...Ch. 19 - Problems 11-14. Several electrons move at speed...Ch. 19 - 15. A magnet produces a 0.30 T field between its...Ch. 19 - 16. At a certain point on Earth’s surface in the...Ch. 19 - 17. A cosmic ray muon with the same charge as an...Ch. 19 - 18. In a CRT. electrons moving at 1.8 × 107 m/s...Ch. 19 - 19. A positron (q = +e) moves at 5.0 × 107 m/s in...Ch. 19 - 20. ✦ An electron moves with speed 2.0 × 105 m/s...Ch. 19 - 21. ✦ An electron moves with speed 2.0 × 105 m/s...Ch. 19 - 19.3 Charged Particle Moving Perpendicularly to a...Ch. 19 - 23. Six protons move (at speed v) in magnetic...Ch. 19 - 24. An electron moves at speed 8.0 × 105 m/s in a...Ch. 19 - 25. The magnetic field in a hospital’s cyclotron...Ch. 19 - 26. The magnetic field in a cyclotron used in...Ch. 19 - 27. The magnetic field in a cyclotron used to...Ch. 19 - 28. A beam of α particles (helium nuclei) is used...Ch. 19 - 29. A singly charged ion of unknown mass moves in...Ch. 19 - 30. In one type of mass spectrometer, ions having...Ch. 19 - 31. Natural carbon consists of two different...Ch. 19 - 32. After being accelerated through a potential...Ch. 19 - 33. A sample containing carbon (atomic mass 12 u),...Ch. 19 - Prob. 34P Ch. 19 - 35. Show that the time for one revolution of a...Ch. 19 - 36. Crossed electric and magnetic fields are...Ch. 19 - 37. A current I = 40.0 A flows through a strip of...Ch. 19 - 38. In Problem 37, if the width of the strip is...Ch. 19 - 39. In Problem 37, the width of the strip is 3.5...Ch. 19 - 40. The strip in the diagram is used as a Hall...Ch. 19 - 41. A strip of copper 2.0 cm wide carries a...Ch. 19 - Prob. 42P Ch. 19 - 43. An electromagnetic flowmeter is used to...Ch. 19 - 44. A charged particle is accelerated from rest...Ch. 19 - 45. A straight wire segment of length 0.60 m...Ch. 19 - 46. A straight wire segment of length 25 cm...Ch. 19 - 47. Parallel conducting tracks, separated by 2.0...Ch. 19 - 48. An electromagnetic rail gun can fire a...Ch. 19 - 49. A straight, stiff wire of length 1.00 m and...Ch. 19 - Prob. 50P Ch. 19 - Prob. 51P Ch. 19 - Prob. 52P Ch. 19 - 53. ✦ A straight wire is aligned east-west in a...Ch. 19 - 54. A straight wire is aligned north-south in a...Ch. 19 - 55. In each of six electric motors, a cylindrical...Ch. 19 - 56. In an electric motor, a circular coil with...Ch. 19 - 57. In an electric motor, a coil with 100 turns of...Ch. 19 - 58. A square loop of wire of side 3.0 cm carries...Ch. 19 - 59. The intrinsic magnetic dipole moment of the...Ch. 19 - 60. In a simple model, the electron in a hydrogen...Ch. 19 - 61. A certain fixed length L of wire carries a...Ch. 19 - 62. Use the following method to show that the...Ch. 19 - 63. A square loop of wire with side 0.60 m carries...Ch. 19 - Prob. 64P Ch. 19 - 65. Estimate the magnetic field at distances of...Ch. 19 - Prob. 66P Ch. 19 - 67. Kieran measures the magnetic field of an...Ch. 19 - 68. Two wires each carry 10.0 A of current (in...Ch. 19 - Prob. 69P Ch. 19 - 70. Point P is midway between two long, straight,...Ch. 19 - 70. Point P is midway between two long, straight,...Ch. 19 - Prob. 72P Ch. 19 - Prob. 73P Ch. 19 - 74. Two long straight wires carry the same amount...Ch. 19 - 75. In Problem 74, find the magnetic field at...Ch. 19 - 76. In Problem 74, find the magnetic field at...Ch. 19 - 77. A solenoid of length 0.256 m and radius 2.0 cm...Ch. 19 - 78. Two long straight parallel wires separated by...Ch. 19 - Prob. 79P Ch. 19 - Prob. 80P Ch. 19 - 81. You are designing the main solenoid for an MRI...Ch. 19 - 82. A solenoid has 4850 turns per meter and radius...Ch. 19 - 83. Find the magnetic field at the center of the...Ch. 19 - 84. Find the magnetic field at point P, the...Ch. 19 - Prob. 85P Ch. 19 - Prob. 86P Ch. 19 - Prob. 87P Ch. 19 - 88. A number of wires carry currents into or out...Ch. 19 - 89. ✦ An infinitely long, thick cylindrical shell...Ch. 19 - 90. In this problem, use Ampère’s law to show...Ch. 19 - Prob. 91P Ch. 19 - Prob. 92P Ch. 19 - Prob. 93P Ch. 19 - Prob. 94P Ch. 19 - Prob. 95P Ch. 19 - Prob. 96P Ch. 19 - Prob. 97P Ch. 19 - Prob. 98P Ch. 19 - Prob. 99P Ch. 19 - Prob. 100P Ch. 19 - Prob. 101P Ch. 19 - Prob. 102P Ch. 19 - Prob. 103P Ch. 19 - Prob. 104P Ch. 19 - Prob. 105P Ch. 19 - 106. Two conducting wires perpendicular to the...Ch. 19 - Prob. 107P Ch. 19 - Prob. 108P Ch. 19 - Prob. 109P Ch. 19 - 110. A solenoid with 8500 turns per meter has...Ch. 19 - Prob. 111P Ch. 19 - Prob. 112P Ch. 19 - Prob. 113P Ch. 19 - Prob. 114P Ch. 19 - Prob. 115P Ch. 19 - Prob. 116P Ch. 19 - Prob. 117P Ch. 19 - Prob. 118P Ch. 19 - Prob. 119P Ch. 19 - Prob. 120P Ch. 19 - Prob. 121P Ch. 19 - Prob. 122P Ch. 19 - Prob. 123P Ch. 19 - Prob. 124P Ch. 19 - Prob. 125P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.