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posted by  Marshy on 11/5/2009 12:11:06 AM  |  status: Closed  |  Earned Karma: 25

Electromagnetic waves

Course Textbook Chapter Problem Needs by
Algebra Based Physics Physics (3rd) by Walker N/A N/A 11/5/2009 at 6:00:00 AM
Question Details:
A microwave transmitter emits electromagnetic waves of a single wavelength. The maximum electric field 1.22 km from the transmitter is 6.74 V/m. Assuming that the transmitter is a point source,
a. Calculate the maximum magnetic field at this distance. (2 points)
b. Calculate the total power emitted by the transmitter.
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posted by watt (MNK) on 11/5/2009 12:20:21 AM  |  status: Live
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Response Details:
a). Maximum electric field  E = 6.74 V / m
Maximum magnetic field  B = E / c
                                          = 6.74 / ( 3 * 10 ^ 8 )
                                          = 2.246 * 10 ^ -8 T
(b). Total power P = cεE ^ 2
where c = speed of EM wave = 3 * 10 ^ 8 m / s
        ε = permitivity of free space = 8.85 * 10 ^ -12 N m ^ 2 / C ^ 2
plug the values  P = 1206.1 * 10 ^ -4 W / m ^ 2
(SME)
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posted by Kevin_08 on 11/5/2009 12:24:57 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
   a)  The maximum magnetic field at this point is
                Bmax = Emax/c
                          = (6.74 V/m)/(3*108 m/s)
 b)  The total power emitted by the transmitter is
                     P = cεo Erms2 (4πr2)

  Here εo =8.85*10-12 C2/N.m2
             
Erms  = Emas/√2
             r = 1.22*103m
  Substitute the values.

I hope this helps! Best of luck with the rest of your coursework.
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