Ampres Law The French physicist Andr-Marie Ampre

Chapter 14, Problem 38

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Ampres Law The French physicist Andr-Marie Ampre (17751836) discovered that an electrical current I in a wire produces a magnetic field B. A special case of Ampres Law relates the current to the magnetic field through the equation AC B # dr = mI, where C is any closed curve through which the wire passes and m is a physical constant. Assume that the current I is given in terms of the current density J as I = 4S J # n dS, where S is an oriented surface with C as a boundary. Use Stokes Theorem to show that an equivalent form of Ampres Law is _ * B = mJ.

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