Problem 8 TV Remote & Sound A remote contraol output a signal with power Po. (a) If the remote transmits the signal in all directions equally, what is the intensity at a distance d from the remote control? (b) Now suppose the remote instead transmits the signal as a beam with an opening angle of 20. What is the intensity at the same distance d in this case? (Think of this as a cone, treat the end at a distance d as a flat circle/disk.) (c) What is the ratio of the intensities?

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Problem 8 TV Remote & Sound
A remote contraol output a signal with power Po. (a) If the remote transmits the signal in all directions
equally, what is the intensity at a distance d from the remote control? (b) Now suppose the remote
instead transmits the signal as a beam with an opening angle of 20. What is the intensity at the same
distance d in this case? (Think of this as a cone, treat the end at a distance d as a flat circle/disk.) (c)
What is the ratio of the intensities?
(d) Suppose you are standing a distance d away from a speaker and then walk towards the speaker so that
you are only a distance of d/2 from the speaker. During your walk somebody increased the power output
of the speaker. You notice that the speaker now sounds twice as loud. How much did the power output
increase by? (NOTE: something with a perceived increase in sound by two corresponds to a ten-fold
increase in intensity.)
Transcribed Image Text:Problem 8 TV Remote & Sound A remote contraol output a signal with power Po. (a) If the remote transmits the signal in all directions equally, what is the intensity at a distance d from the remote control? (b) Now suppose the remote instead transmits the signal as a beam with an opening angle of 20. What is the intensity at the same distance d in this case? (Think of this as a cone, treat the end at a distance d as a flat circle/disk.) (c) What is the ratio of the intensities? (d) Suppose you are standing a distance d away from a speaker and then walk towards the speaker so that you are only a distance of d/2 from the speaker. During your walk somebody increased the power output of the speaker. You notice that the speaker now sounds twice as loud. How much did the power output increase by? (NOTE: something with a perceived increase in sound by two corresponds to a ten-fold increase in intensity.)
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