Item 5 Part A Experiments to study vision often need to track the movements of a

Question

Item 5 Part A Experiments to study vision often need to track the movements of a subjects eye. One way of doing so is to have the subject sit in a magnetic field while wearing special contact lenses that have a coil of very fine wire circling the edge. A current is induced in the coil each time the subject rotates his eye. Consider an experiment in which 20 turn, 6.0-mm-diameter coil of wire circles the subject's cornea while a 0.80 T magnetic field is directed as shown in the figure. The subject begins by looking straight ahead.(Figure 1) What emf is induced in the coll if the subject shifts his gaze by 5.0 ° in 0.40 s? Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining Continue 1of1 Cornea 6.0-mm-diameter coil Eye

Explanation / Answer

Number of turns: n = 20,

Turns per-unit length: N = n/2r = 20/2*3x10-³

magnetic flux density: B = µoNI = 2 T

emf = Bv

angular velocity of shifting eye: = /t = 5°(/180°)/0.2 = 0..436 rad/s

linear velocity of shifting eye: v = r = (3x10-³)0.436 = 1.3x10--³ m/s

length of centerline path of toroid: = 2r = 2*3x10-³ = 18.8x10-³ m

emf = 1*18.8x10-³1.3x10-³ = 24.44x10^-6 volts

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