Experiments to study vision often need to track the movements of a subject\'s ey

Question

Experiments to study vision often need to track the movements of a subject's eye. One way of doing so is to have the subject sit in a magnetic field while wearing special contact lenses with a coil of very fine wire circling the edge. A current is induced in the coil each time the subject rotates his eye. Consider the experiment shown in the figure in which a 24-turn, 6.0-mm-diameter coil of wire circles the subject's cornea while a 1.3 T magnetic field is directed as shown. The subject begins by looking straight ahead.

What emf is induced in the coil if the subject shifts his gaze by 4 ? in 0.16 s ?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt or NABW

where W is angular velocity

where A = area

N = no. of tunrs

dB/dt = rate of change of amgnetic flux

avg induced emf e = 4* 3.14 * 3 e-3* 3 e-3 * 1.3 * cos 4/0.16

emf e = 0.916 mV

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