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Suppose that you are close to the equator where the magnetic field of earth is horizontal...

Suppose that you are close to the equator where the magnetic field of earth is horizontal and has magnitude B = 0.35G. You decide to build a manual electric generator using this field by constructing a circular loop with N = 2000 turns of copper wire. Estimating that you can manually rotate the loop with a crank at 30rpm,

(a) (10pts.) what should be the area of the loop if you want to obtain an emf with an amplitude of 4.5V?

(b) (10pts.) Find the maximum linear speed of a point on the coil as it rotates and decide whether or not your device is feasible.

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