College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Imagine that you've been invited to try out a new hoversuit, and here's how it works:
 
Someone has set up a large flat sheet, many kilometers across, somewhere on the Earth, and they've charged the sheet up to a uniform charge density of 3.17 x 10^-6 C/m2. You are issued a special suit that you wear, and it has controls on it which allow you to charge the suit up to any number of Coulombs (C), positive or negative, that you might want. The idea is that you can control the amount of electrical repulsion (or attraction) between the suit and the charged sheet below you.
What is the strength of the electric field in the region above the charged sheet?
(Formula, which is E = 2 pi k Q/A, where k is the electrical constant and Q/A is the charge density.)
   
8.95E+04 N/C
   
1.43E+05 N/C
   
2.33E+05 N/C
   
1.79E+05 N/C
Expert Solution
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Step 1

Hover suit can be imagined as a suit that helps a person to fly with out consuming any fuel. In this question the hover suit is assumed to be a suit that can have positive or negative charge as desired and it is to be used over a sheet of charge with very large size. Electric field due to infinite sheet of charge 

E=  σ/2ϵ0

 

 will be acting on any charged body placed above it and if the electrostatic force due to the field is sufficient enough to hold its weight or accelerate it the object will float in the air or accelerate.

 

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