Two dipole antennas are located on opposite ends of a lake and emit electromagnetic radia—
tion with wavelength A. A boat moves along the line connecting the two emitter antennas.
The boat carries a receiver antenna that picks up the emitted radiation. Figure 1 sketches
the situation. emi‘H‘Er receiver snuff-fer TOE “'1‘”
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Emli‘i'cr' (a) Suppose for now that the two emitters radiate electromagnetic waves with the
same amplitude. As the boat sails towards the left emitter antenna, the receiver picks up
an oscillatory signal due to interference from the two incoming waves. When the boat is
midway between the antennas, the detected signal is found to be maximal (‘bright’ fringe).
The signal’s amplitude first drops down to zero (‘dark’ fringe) after the boat traverses a
distance d leftward. What is d in terms of the wavelength A? (You can assume that the
emitters and receiver all lie along a straight line.) (b) Suppose next that the amplitude of the ac drive applied to the left antenna is
increased, so that the two emitters radiate electromagnetic waves with diflerent amplitudes
(but still a common wavelength A). Does the fringe spacing detected by the boat’s receiver
change relative to the case where the amplitudes are equal? Why or why not? (e) Let the ratio of amplitudes for the electromagnetic waves emitted by the left
and right antennas be 2:1. What is the ratio of the intensity of ‘bright’ and ‘dark’ fringes
picked up the boat’s receiver antenna?

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Status NEW Posted 17 Jun 2017 01:06 AM My Price 9.00

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