Can someone help me? Thank you. Problem 25.62 Part A Experiments to study vision

Question

Can someone help me? Thank you.

Problem 25.62 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 a-mm-diameter coil of wire circles the subjects 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 coil if the subject shifts his gaze by 6.0in 0.30 s? Express your answer using two significant figures. Submit My Answers Give Up Continue Figure 1 |ofl Cornea 6.0-mm-diameter coil Eye

Explanation / Answer

here

the induced emf

E = -dF/dt = -B * d(A * cos(q(t)) / dt

E = B * A * sin(q) * dq / dt

then

8 deg = 0.10472rad

then

dq/dt = 0.10472 / 0.3

dq/dt = 0.349 rad/sec

after this A = N * pie * r^2

A = 20 * 3.14 * (6 * 10^-3 / 2)

A = 5.65 * 10^-4 m^2

then by all the values in the formula

F = 0.8 * 5.65 * 10^-4 * 0.349 * sin(6 deg)

F = 1.64 * 10^-5 V

so the induced emf in the coil is 1.64 * 10^-5V

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