The cylinder indicated in the figure rotates with an angular velocity W=2229 [rad/sec.], it has the permittivity and permeability of a vacuum. The section ABCD is connected with a cable, the same one that has a total internal resistance of R=95 [?], the lengths of the sections are AB=DC=5.6 [m] and DA=CB=3.2[ m], calculate the current flowing through the cable, when
a) Gravity g is zero (that is, only the cylinder rotates)
b) Gravity g=9.8[m/s2] (that is, the cylinder rotates and is in free fall)
Note: Consider that the terrestrial field is completely horizontal, parallel to the axis AB and has a magnitude Bo [Wb/m2]