Problem 2. Prove that if the relative velocity of the transmitter toward the receiver is +v m/sec, the received frequency of the RF carrier at fe Hz is given by fr = (1+v/c) fe √1-(v/c)2 and if the relative velocity of the transmitter away the receiver is -v m/sec, the received frequency of the RF carrier at fc Hz is given by where c is the speed of light. Hint: Use special relativity. (1-v/c)fe fr = √1-(v/c)2

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Problem 2.
Prove that if the relative velocity of the transmitter
toward the receiver is +v m/sec, the received frequency of the RF carrier at
fe Hz is given by
fr
=
(1+v/c) fe
√1-(v/c)2
and if the relative velocity of the transmitter away the receiver is -v m/sec,
the received frequency of the RF carrier at fc Hz is given by
where c is the speed of light.
Hint: Use special relativity.
(1-v/c)fe
fr
=
√1-(v/c)2
Transcribed Image Text:Problem 2. Prove that if the relative velocity of the transmitter toward the receiver is +v m/sec, the received frequency of the RF carrier at fe Hz is given by fr = (1+v/c) fe √1-(v/c)2 and if the relative velocity of the transmitter away the receiver is -v m/sec, the received frequency of the RF carrier at fc Hz is given by where c is the speed of light. Hint: Use special relativity. (1-v/c)fe fr = √1-(v/c)2
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