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A radio transmitter creates a time-dependent currentI(t)=I0sin ωt in the radio antenna, whereI0=20A and ω=6.3e6 persecond (corresponding to about the middle of the AM band). what is the average powerradiated by this antenna if it is 160m long?
[hint: the EMradiation is produced by charge sloshing back and forth in the antenna.. Argue that at any given instant I(t)= Qv/I, where Q is the total charge involved in the sloshing, v is the drift speed of the charge,and L is the antenna's length.]
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