Maxwell's Third Equation

<h1>Text Preview</h1> <p> Maxwell's third equation is Faraday's Law. In effect, it says that an electric field is produced by a varying magnetic field. The right side of the equation indicates a changing magnetic field. The changing magnetic field induces a current to flow in a loop, through which the magnetic field passes. The left side of the equation describes the electric field along the length of the loop that causes the charges to move. You see here that the electric field does not start at a positive charge and end at a negative charge as it does in an electrostatic field. Instead, the electric field is directed around the loop as shown here. The direction of the electric field is perpendicular to the loop and perpendicular to the varying magnetic field shown extending through the center of the loop. This electric field causes current to flow around the loop. The electromotive force, epsilon, and equals the closed integral - also called the surface integral - of the dot products of the electric field and each tiny segment of the loop. The angle extends between the electric field and the segment. Recall our discussion of the fact that a varying magnetic field passing through a loop causes a current to flow in that loop. Recall that the magnetic flux, phi sub B, is the integral of B dot dA. Combining the two equations that involve E M F's gives us Maxwell's third law. It says that an electric field is produced by a varying magnetic field.</p> <p id="TextCopyright">Copyright 2006 The Regents of the University of California and Monterey Institute for Technology and Education</p>