To determine Expressions for the magnetic field in the regions 0 < r < R 1 , R 1 < r < R 2 , and r > R 2 using Ampere’s Law. Explanation Given Info: A long hollow wire has inner radius R 1 and outer radius R 2 . The wire carries current I uniformly distributed across the area of the wire. The current density is uniformly distributed over each conductor. Formula used: Ampere's Law states that for any closed loop path, the sum of the length elements times the magnetic field in the direction of the length element is equal to the permeability times the electric current enclosed in the loop. That is ∮ B → ⋅ d s → = μ 0 I . The magnetic field due to an infinitely long straight conductor carrying current I at a distance r from the centre of the conductor is B = μ 0 I 2 π r . For 0 < r < R 1 , the current enclosed is 0. Hence B = 0 . For R 1 < r < R 2 , the current enclosed is ( π r 2 − π R 1 2 π R 2 2 − π R 1 2 ) I = ( r 2 − R 1 2 R 2 2 − R 1 2 ) I

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Chapter 29, Problem 57EAP

To determine

Expressions for the magnetic field in the regions 0<r<R1, R1<r<R2, and r>R2 using Ampere’s Law.

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Chapter 29 Solutions

PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<

Ch. 29 - The lightweight glass sphere in FIGURE Q29.1 hangs...Ch. 29 - The metal sphere in FIGURE Q29.2 hangs by a...Ch. 29 - Prob. 3CQ Ch. 29 - Prob. 4CQ Ch. 29 - What is the current direction in the wire of...Ch. 29 - What is the initial direction of deflection for...Ch. 29 - What is the initial direction of deflection for...Ch. 29 - Determine the magnetic field direction that causes...Ch. 29 - Determine the magnetic field direction that causes...Ch. 29 - Prob. 10CQ

Ch. 29 - The south pole of a bar magnet is brought toward...Ch. 29 - Prob. 12CQ Ch. 29 - Prob. 1EAP Ch. 29 - Prob. 2EAP Ch. 29 - 3. A proton moves along the x-axis with rn/s. As...Ch. 29 - An electron moves along the z-axis with vz=2.0107...Ch. 29 - What is the magnetic field at the position of the...Ch. 29 - What is the magnetic field at the position of the...Ch. 29 - Prob. 7EAP Ch. 29 - Prob. 8EAP Ch. 29 - Prob. 9EAP Ch. 29 - A biophysics experiment uses a very sensitive...Ch. 29 - The magnetic field at the center of a 1.0...Ch. 29 - 12. What are the magnetic fields at points a to c...Ch. 29 - Prob. 13EAP Ch. 29 - What are the magnetic field strength and direction...Ch. 29 - Prob. 15EAP Ch. 29 - 16. The on-axis magnetic field strength cm from...Ch. 29 - A A current circulates around a -mm-diameter...Ch. 29 - 18. A small, square loop carries a A current. The...Ch. 29 - Prob. 19EAP Ch. 29 - 20. What is the line integral of integral points...Ch. 29 - 21. What is the line integral of between points i...Ch. 29 - The value of the line integral of around the...Ch. 29 - 23. The value of the line integral of around the...Ch. 29 - 24. What is the line integral of between points i...Ch. 29 - Prob. 25EAP Ch. 29 - 26. A proton moves in the magnetic field with a...Ch. 29 - Prob. 27EAP Ch. 29 - 28. Radio astronomers detect electromagnetic...Ch. 29 - Prob. 29EAP Ch. 29 - Prob. 30EAP Ch. 29 - The microwaves in a microwave oven are produced in...Ch. 29 - The Hall voltage across a conductor in a 55mT...Ch. 29 - 33. What magnetic field strength and direction...Ch. 29 - 34. The two -cm-long parallel wires in FIGURE...Ch. 29 - The right edge of the circuit in FIGURE EX29.35...Ch. 29 - Prob. 36EAP Ch. 29 - Prob. 37EAP Ch. 29 - 38. A square current loop cm on each side carries...Ch. 29 - Prob. 39EAP Ch. 29 - 40. a. What is the magnitude of the torque on the...Ch. 29 - A long wire carrying a 5.0A current perpendicular...Ch. 29 - Prob. 42EAP Ch. 29 - What are the strength and direction of the...Ch. 29 - At what distance on the axis of a current loop is...Ch. 29 - 45. Find an expression for the magnetic field...Ch. 29 - Prob. 46EAP Ch. 29 - Prob. 47EAP Ch. 29 - 48. A -m-long, -mm-diameter aluminum wire has a...Ch. 29 - Prob. 49EAP Ch. 29 - Prob. 50EAP Ch. 29 - Prob. 51EAP Ch. 29 - Weak magnetic fields can be measured at the...Ch. 29 - The heart produces a weak magnetic field that can...Ch. 29 - Prob. 54EAP Ch. 29 - 55. The toroid of FIGURE P29.55 is a coil of wire...Ch. 29 - 56. The coaxial cable shown in FIGURE P29.56...Ch. 29 - 57. A long, hollow wire has inner radius and...Ch. 29 - 58. A proton moving in a uniform magnetic field...Ch. 29 - 59. An electron travels with speed m/s between...Ch. 29 - Prob. 60EAP Ch. 29 - An antiproton (same properties as a proton except...Ch. 29 - a. A 65 -cm-diameter cyclotron uses a 500 V...Ch. 29 - An antiproton is identical to a proton except it...Ch. 29 - Prob. 64EAP Ch. 29 - Prob. 65EAP Ch. 29 - Particle accelerators, such as the Large Hadron...Ch. 29 - 67. A particle of charge q and mass m moves in the...Ch. 29 - 68. A Hall-effect probe to measure magnetic field...Ch. 29 - Prob. 69EAP Ch. 29 - Prob. 70EAP Ch. 29 - The 10-turn loop of wire shown in FIGURE P29.71...Ch. 29 - The two springs in FIGURE P29.72 each have a...Ch. 29 - Prob. 73EAP Ch. 29 - Prob. 74EAP Ch. 29 - A conducting bar of length I and mass m rests at...Ch. 29 - Prob. 76EAP Ch. 29 - A wire along the x-axis carries current I in the...Ch. 29 - Prob. 78EAP Ch. 29 - Prob. 79EAP Ch. 29 - a. Derive an expression for the magnetic field...Ch. 29 - Prob. 81EAP Ch. 29 - A long, straight conducting wire of radius R has a...Ch. 29 - Prob. 83EAP

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