Question

The figure below shows a radio-wave transmitter and a receiver, both h = 41.0 m above the ground and d = 700 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. XXXXXX Transmitter Receiver (a) If the ground is level between the transmitter and receiver and a 1/2 phase shift occurs upon reflection, determine the longest wavelengths that interfere constructively. (b) If the ground is level between the transmitter and receiver and a 1/2 phase shift occurs upon reflection, determine the longest wavelengths that interfere destructively.

Answer 1

distance travelled by wave

D = 2 sqrt ( h^2 + (d/2)^2)

D = 2 * sqrt ( 41^2 + 350^2)

D = 704.786 m

path difference

dL = 704.786 - 700 = 4.786 m

a)

4.786 = L/2

L = 9.573 m

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b)

also

dL = m L

for m = 1

4.786 = L

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