Ampère’s Law The French physicist André-Marie Ampère (1775–1836) discovered that an electrical current I in a wire produces a magnetic field B. A special case of Ampère’s Law relates the current to the magnetic field through the equation ∮C B ⋅ dr = μI, where C is any closed curve through which the wire passes and μ is a physical constant. Assume the current I isgiven in terms of the current density J as I = ∫∫S J ⋅ n dS, where Sis an oriented surface with C as a boundary. Use Stokes’ Theoremto show that an equivalent form of Ampère’s Law is ∇ x B = μJ.
Ampère’s Law The French physicist André-Marie Ampère (1775–1836) discovered that an electrical current I in a wire produces a magnetic field B. A special case of Ampère’s Law relates the current to the magnetic field through the equation ∮C B ⋅ dr = μI, where C is any closed curve through which the wire passes and μ is a physical constant. Assume the current I isgiven in terms of the current density J as I = ∫∫S J ⋅ n dS, where Sis an oriented surface with C as a boundary. Use Stokes’ Theoremto show that an equivalent form of Ampère’s Law is ∇ x B = μJ.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Ampère’s Law The French physicist André-Marie Ampère (1775–1836) discovered that an
given in terms of the current density J as I = ∫∫S J ⋅ n dS, where S
is an oriented surface with C as a boundary. Use Stokes’ Theorem
to show that an equivalent form of Ampère’s Law is ∇ x B = μJ.
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