A+ rating to all good submissions, no exception! A rectangle with the length L =

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A+ rating to all good submissions, no exception!

A rectangle with the length L = 1 m and width W = 0.1m is pierced by a magnetic field which increase with the distance x, Bi = B0 + alpha z. The direction of the magnetic field is perpendicular to the (x, y) plane of the rectangle. Left edge of the rectangle is at x = 0 and the right edge is at x = L. The rectangle is build from perfect conducting wire, such that the rectangle from a closed electric loop. A metallic bar with the length W = 0.1m can slide without friction on the edge of the rectangle. The metallic bar has a velocity of v = 0.1m/sec in the +x direction. The initial position of the bar was at x = 0. B0 = 1 Tesla and alpha = . The metallic bar has a resistance of R = 1 Ohm. The motion of the metallic bar create two rectangles : x times W (x is the position of the bar) and the second one (L - x) times W. Compute the change of flux per second in each rectangle, and . In order to solve the problem you have to compute the flux in each rectangle: and The time dependent fluxes will be: What are the two emf induced in each rectangle at a time t = 5sec What is the current which pases trough the metallic bar at a time t = 5sec. What is the mechanic power needed at time t = 5sec to make the bar move with the constant velocity v = 0.1m/sec. What is the total mechanical energy needed for the bar to move from z = 0 to x = L (the energy is given by where P(t) is the power at time t.

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