You are a NASA mission specialist on your first flight aboard the space shuttle.
ID: 1266840 • Letter: Y
Question
You are a NASA mission specialist on your first flight aboard the space shuttle. Thanks to your extensive training in physics, you have been assigned to evaluate the performance of a new radio transmitter on board the International Space Station (ISS). Perched on the shuttle's moveable arm, you aim a sensitive detector at the ISS, which is a distance of 2.3km away. You find that the electric-field amplitude of the radio waves coming from the ISS transmitter is 9.7*10^-2V/m and that the frequency of the waves is 246MHz .
A) Find the intensity of the radio wave at your location.
Express your answer using two significant figures.
B)
Find the magnetic-field amplitude of the wave at your location.
Express your answer using two significant figures
C)
Find the total power output of the ISS radio transmitter.
Express your answer using two significant figures
Explanation / Answer
A. Intensity I = power/.area = Emax^2/2uoC
where u0 = 4pi*10^-7
C =velcoity of light
so here I = 0.097^2/(2*4pi*10^-7 *3e8)
I = 1.248 *10^-5 W/m^2
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B. Electric field and magnetci fiedl are relayted by E = Bv
so magnetic fied B = E/v
B = 0.097/3e8
B = 3.232*10^-10 T
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C. total power P = IA
A = area v= 4pi r^2
P = 1.248 *10^-5 * 4pi * 2300*2300
Power P = 829.201 Watts
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