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Question:

What is the acceleration above a sheet of charge?

A large horizontal flat sheet of insulating plastic (near the earth's surface) carries a total charge +22MC distributed over the area of the sheet (1.1m^2). A dust mote carries charge +3.5mc and has a mass of 2.2x10^-4 kg. What is the acceleration when it is just above the sheet of charge? Don't neglect gravity.

Answer:

The force exerted by the sheet is F=E*q where E=6/(2*e0) 6 charge density in this case 6=q/A=20*10powered6 C/m2 e0=8,85*10powered12 C2/(N*m2) (n2 means n powered 2) a*m+E*q=m*g a=(m*g - q*6/(2*e0))/m if g=9,8 m/s2 then a=9,79998 m/s2

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