Question

5. A loop of resistance R, mass M, width w (horizontal) and very long length L (vertical) is falling under gravity in a B field perpendicular to its plane (into the page) which is non-zero (with magnitude B) only below some height, as shown in Fig. 2. Assuming that some part of the loop is always outside the field region: A) Which way does the induced current in the loop flow? Explain your answer. B) The loop will eventually reach a terminal velocity v (i.e. it will continue to fall with a constant velocity v). After the loop has reached terminal velocity v, derive expressions for a) the induced emf in the loop b) the induced current in the loop c) the magnetic force on the loop Using the expression derived for the magnetic force, obtain an expression for the ter- minal speed of the loop v in terms of B, R, Mg (i.e. weight of the loop) and w. (15 pts) Mg B into page Figure 2:

Answer 1

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