Faraday\'s Law and Lenz Law You know the size, and direction of the magnetic fie

Question

Faraday's Law and Lenz Law You know the size, and direction of the magnetic field. You know the velocity of the bar and that this velocity is constant. You know the resistance of the wire. You know the initial depth of the bar in the magnetic field. You know the length of the bar. Find the following the magnitudes of the initial magnetic flux and the change in magnetic flux with respect to time, the direction and magnitude of the induced current, the force (magnitude and direction) on the bar caused by the induced current since it is in the magnetic field, and the required external force (magnitude and direction) needed to keep the velocity of the bar constant.

Explanation / Answer

Intitial Magnetic Flux= 0.3*5*2 = 3 Weber rate of change of magnetic flux= 0.3*2*10 = 6 Weber/sec The direction would in the loop containing R and bar would be counterclockwise. Magnitude of current= EMF/R= 6/10 = .6 Ampere Force required to move with constant speed= .6*5*.3= .9 N along the direction of velocity. Force experienced by conductor would be opposite to force required and same in magnitude.

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