Question

Consider a 1-m conducting rod attached at each end by conducting rails.  The rails are connected at the top and the total loop has a resistance of 3-Ohms.  (see figure below).  The rod falls to the ground at a constant velocity, v.  The apparatus is inside a constant magnetic field, B = 2.0 T (directed out of the page).  The mass of the rod is 0.5kg.

B = 2.0 T (out of R = 5 1 m -->

a)  What is the magnetic force on the falling rod, due to the magnetic field?

b) What is the induced current in the rod?

c)  What is the induced electromotive force, ?

d)  What is the equation for the rate of change of magnetic flux for this problem?

e)  How fast is the rod falling?

f)    When the rail falls for 1 sec, verify that energy is conserved.

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