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
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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