Perhaps it has occurred to you that we could tap Earth\'s magnetic field as a so

Question

Perhaps it has occurred to you that we could tap Earth's magnetic field as a source of electrical potential from which we could then generate energy. One way to do this would be to spin a metal loop about an axis perpendicular to Earth's magnetic field. Suppose that the metal loop is a square that is 45.0 cm on each side and that we want to generate a potential in the loop of amplitude 125 V at a place where Earth's magnetic field is 0.50 104 T. At what angular speed (in rev/s) would we have to spin the coil?

Explanation / Answer

Emax = BAw

Emax = 125

B = 0.50 x 10^-4 T

A = 45 x 45 x 10^-4

w = E/BA

w = 12345679.01 rad/s

w =1964875.8 rev/s

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