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Chapter 30: Q. 60 (page 873)

Experiments to study vision often need to track the movements BI0 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 of FIGURE P30.60 in which a 20 -turn, 6.0-mm-diameter coil of wire circles the subject's cornea while a 1.0 T magnetic field is directed as shown. The subject begins by looking straight ahead. What emfis induced in the coil if the subject shifts his gaze by 5鈭�in0.20s?

Short Answer

Expert verified

The emfinduced in the coil is,

蔚=0.25mV

Step by step solution

01

Magnetic Flux

The magnetic flux is the measure of magnetic force that goes through the coil of area A. The magnetic force is given by, when the magnetic force is parallel to the plane's normal.

桅m=NBA

The magnetic flux given by,

桅m=NBAcos鈦�胃

The radius of the coil's diameter is d = 6mm, hence the coil's area equals

A=蟺d22=蟺6脳10鈭�3m22=28.3脳10鈭�6m2

02

Faraday's law

The induced, according Faraday's law, is the change in magnetic moment inside the loop.

蔚=d桅mdt

=dNBAcos鈦�胃dt

=NBAdcos鈦�胃dt

=NBAsin鈦�胃dt

03

Plug the values

we plug the values for,胃,N,B,Aanddt=0.20s

蔚=NBAsin鈦�胃dt

=(20)28.3脳10鈭�6m2(1T)sin鈦�5鈭�(0.2s)

=0.25脳10鈭�3V

=0.25mV

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Most popular questions from this chapter

The L-shaped conductor in FIGUREP30.54 moves at 10m/sacross and touches a stationary L-shaped conductor in a 0.10Tmagnetic field. The two vertices overlap, so that the enclosed area is zero, at t=0s. The conductor has a resistance of 0.010ohms per meter.

a. What is the direction of the induced current?

b. Find expressions for the induced emf and the induced current as functions of time.

c. Evaluate鈭�andlatt=0.10s.

12. An LC circuit oscillates at a frequency of2000Hz . What will the frequency be if the inductance is quadrupled?

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a. Find an expression for the induced current as a function of time if you turn the crank at frequency f. Assume that the semicircle is at its highest point at t=0s.

b. With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Is this feasible?

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