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posted by  disbwookie on 11/4/2009 10:47:48 PM  |  status: Closed  |  Earned Karma: 25

The Nature of Electromagnetic Waves

Course Textbook Chapter Problem Needs by
General Physics N/A N/A N/A 11/5/2009 at 11:00:00 AM
Question Details:
A flat coil of wire is used with an LC-tuned circuit as a receiving antenna. The coil has a radius of 0.15 m and consists of 440 turns. The transmitted radio wave has a frequency of 1.4 MHz. The magnetic field of the wave is parallel to the normal to the coil and has a maximum value of 2.0 x 10-13 T. Using Faraday's law of electromagnetic induction and the fact that the magnetic field changes from zero to its maximum value in one-quarter of a wave period, find the magnitude of the average emf induced in the antenna during this time.
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posted by Kevin_08 on 11/4/2009 10:52:57 PM  |  status: Live
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Response Details:
Given that
 radius r = 0.15m
 number of turns N = 440
 frequency f = 1.40*106 Hz
 magnetic field B = 2.0 x 10-13 T

 
  The time period is
             T = 1/f
               = 1/(1.40*106 Hz)
            
  The magnitude of the induced emf is given by
               ε = NA(dB)/Δt
                   = N(πr2)(B-0)/(T/4)
 Substitute the values for ε.
I hope this helps! Best of luck with the rest of your coursework.
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