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Chapter 25 Electromagnetic Induction and Electromagnetic Waves

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<strong>Chapter</strong> <strong>25</strong> <strong>Electromagnetic</strong> <strong>Induction</strong> <strong>and</strong> <strong>Electromagnetic</strong> <strong>Waves</strong><br />

Wednesday, March 24, 2010<br />

3:16 PM


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CP 3 A 10-cm-long wire is pulled along a U-shaped<br />

conducting rail in a perpendicular magnetic field. The total<br />

resistance of the wire <strong>and</strong> rail is 0.20 Ω. Pulling the wire with<br />

a force of 1.0 N causes 4.0 W of power to be dissipated in the<br />

circuit. (a) Determine the speed of the wire. (b) Determine<br />

the strength of the magnetic field.<br />

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CP 14 Patients undergoing an MRI scan occasionally report<br />

seeing flashes of light. Some practitioners assume that this<br />

results from electrical stimulation of the eyes by the emf<br />

induced by the rapidly changing fields of an MRI solenoid.<br />

We can do a quick calculation to see if this is a reasonable<br />

assumption. The human eyeball has a diameter of about <strong>25</strong><br />

mm. Rapid changes in current in an MRI solenoid can<br />

produce rapid changes in the magnetic field, with B/ t as<br />

large as 50 T/s. How much emf would this induce in a loop<br />

circling the eyeball? How does this compare with the 15 mV<br />

necessary to trigger an action potential?<br />

CP 15 A 1000-turn coil of wire 2.0 cm in diameter is in a<br />

magnetic field that drops from 0.10 T to 0 T in 10 ms. The<br />

axis of the coil is parallel to the field. Determine the emf in<br />

the coil.


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the coil.<br />

CP 18 A 5.0-cm-diameter loop of wire has resistance 1.2 Ω.<br />

A nearby solenoid generates a uniform magnetic field<br />

perpendicular to the loop that varies with time as shown<br />

in the figure. Graph the magnitude of the current in the<br />

loop over the same time interval.<br />

CP 21 A microwave oven operates at 2.4 GHz with an<br />

intensity inside the oven of <strong>25</strong>00 W/m 2 . Determine the<br />

amplitudes of the oscillating electric <strong>and</strong> magnetic fields.


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amplitudes of the oscillating electric <strong>and</strong> magnetic fields.<br />

CP 29 At what distance from a 10 W point source of<br />

electromagnetic waves is the electric field amplitude<br />

(a) 100 V/m, <strong>and</strong> (b) 0.010 V/m.


CP 31 Only <strong>25</strong>% of the intensity of a polarized light wave<br />

passes through a polarizing filter. What is the angle between<br />

the electric field <strong>and</strong> the axis of the filter?<br />

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CP 43 The spectrum of a glowing filament has its peak at a<br />

wavelength of 1200 nm. Determine the temperature of the<br />

filament in degrees Celsius.<br />

CP 57 A 100-turn, 8.0-cm-diameter coil is made of 0.50-mm<br />

diameter copper wire. A magnetic field is perpendicular to the<br />

coil. At what rate must B increase to induce a 2.0 A current in<br />

the coil?


CP 58 The loop in the figure is being pushed into the 0.20 T<br />

magnetic field at a speed of 50 m/s. The resistance of the loop<br />

is 0.10 Ω. Determine the direction <strong>and</strong> magnitude of the<br />

current in the loop.<br />

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