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Assignment 07

# Assignment 07 - (Here you have to rethink the time...

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Electromagnetic Theory, PHYS 441B Due: Wednesday, 18.March 2009, 10:30 90 Points Assignment 7 Remark: All known results from situations in Electrostatics and Mag- netostatics can be used in without derivation in assignments and exams. Problem 1: Griﬃths, Problem 11.22, page 473, modiﬁed . 30 P Assume that the antenna is an electric dipole antenna (instead of the magnetic dipole antenna). (This assignment is meant to give you some feeling for the physical mag- nitudes of ﬁelds.) Problem 2: Suppose you have two time varying electric dipole sources 30 P in the same location, ~ p 1 cos ( ω 1 t ) and ~ p 2 cos ( ω 2 t ). The frequencies diﬀer ( ω 1 6 = ω 2 . Assume that we are in the dipole approximation, and only care about the far ﬁeld solution. Compute the radiated power for such a system.
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Unformatted text preview: (Here you have to rethink the time averaging procedure if two frequencies are involved.) Problem 3: 30 P Consider a rotation electric dipole as ~ p = p [ cos ( ωt ) ~e x + sin ( ωt ) ~e y ] Decompose the dipole moment into frequency components and use this approach to calculate the total radiated power. What is the radiation char-acteristics (angular distribution) of this dipole radiation? How does this compare to the radiated power of a dipole oscillating as ~ p cos ( ωt ) ~e x ? How can we understand these results comparing the two situations? (Here you can check that you really understood how we calulated the radiated power for the dipole.) 1...
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