when the movie back to the future 2 came out everyone wanted a hover-board. you
ID: 2234882 • Letter: W
Question
when the movie back to the future 2 came out everyone wanted a hover-board. you decide to use your knowledge of electrostatics to finally make this dream come true. you plan to build a room with an electrically charged floor where someone standing on an electrically charged hover-board can levitate four inches above the ground. suppose you are able to achieve a charge density on the floor of the 10 to the -3 c/m squared. a. what net charge do you need on the hover-board in order to be able to levitate above the floor? b. what will the voltage difference be between the floor and the hover-board? assume the hover-board is levitating four inches above the floor. c.look up the dielectric breakdown of air. how does delta v/delta x between the hover-board and the floor compare to the dielectric breakdown of air. why is this an important comparison to make? note; dielectric breakdown is a new concept that we have not talked about. you should google dielectric breakdown of air to find its value and learn what it means.Explanation / Answer
average person weight 68 kg so wewant
Felectric = mg
qE = mg
q*sigma/e0 = mg
q = m g e0/sigma = 68*9.81*8.85E-12/(10^(-3))=5.9E-6 C
b) 4 inches = .1016
V = E d = sigma d/e0 =10^(-3)*.1016/8.85E-12=1.15E7 N/C
c) breakdown field of air = 3E6 so that would be quite above it so air would start to break down so such a setup isnt possible
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