This problem is not from the book,it is given by theteacher which covers chapter

Question

This problem is not from the book,it is given by theteacher which covers chapter 25. You are driving your car on the highway and moving at avelocity of 65 mph. You are listening to KPCC on 89.3 MHz.    a. calculate the fractional frequency shiftfdoppler/f0 -1=±v/c due to the dopplereffect when you are driving towards the trasmitter. b. the electric field component of the radio wave hasan amplitude of 2mV/m. Calculate the total energy density carriedby the radio wave. c. If you are driving towards a cell phone tower and you are(hands free!) talking on your cell phone at a frequency of 2.0 GHz,is the fractional shift in frequency of the cell phone signal(fdoppler/f0 -1) larger, smaller, or the sameas ab0ve when you were listening to the radio? d. Calculate the force that the electromagnetic wave exerts onthe Oviat Library, assuming its surface are is about1000m2. This problem is not from the book,it is given by theteacher which covers chapter 25. You are driving your car on the highway and moving at avelocity of 65 mph. You are listening to KPCC on 89.3 MHz.    a. calculate the fractional frequency shiftfdoppler/f0 -1=±v/c due to the dopplereffect when you are driving towards the trasmitter. b. the electric field component of the radio wave hasan amplitude of 2mV/m. Calculate the total energy density carriedby the radio wave. c. If you are driving towards a cell phone tower and you are(hands free!) talking on your cell phone at a frequency of 2.0 GHz,is the fractional shift in frequency of the cell phone signal(fdoppler/f0 -1) larger, smaller, or the sameas ab0ve when you were listening to the radio? d. Calculate the force that the electromagnetic wave exerts onthe Oviat Library, assuming its surface are is about1000m2.

Explanation / Answer

a) the fractional frequency shift due to thedoppler effect when you are driving towards the trasmitter is               fdoppler/f0 -1=v/c    = (65(5/18)m/s)/(3*108 m/s) b) Given that      Amplitude of the electric field is Emax =2*10-3 V/m      The total energy density is         U= oEmax2      Here o = 8.85*10-12C2/N.m2 c)     the same as ab0ve when you werelistening to the radio because shift in frequency is depends uponthe velocity of the car. d)   The force that the electromagnetic wave exertson the Oviat Library is              F = IA/c                 = (Erms2/(co))(A/c)     Here Erms = Emax/2               o = 4*10-7 H/m               A = 1000m2Substitute the values.

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