Theory and ApplicationsFaraday’s Law If E(t, x, y, z) and
Chapter 16, Problem 15AAE(choose chapter or problem)
Problem 15AAE
Theory and Applications
Faraday’s Law If E(t, x, y, z) and B(t, x, y, z) represent the electric and magnetic fields at point (x, y, z) at time t, a basic principle of electromagnetic theory says that In this expression is computed with t held fixed and is calculated with (x, y, z) fixed. Use Stokes’ Theorem to derive Faraday’s Law,
where C represents a wire loop through which current flows counterclockwise with respect to the surface’s unit normal n, giving rise to the voltage
around C. The surface integral on the right side of the equation is called the magnetic flux, and S is any oriented surface with boundary C.
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