Answered: Imagine that you ve been invited to try…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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 1.42 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? (This is easy, since I m going to give you the formula, which is E = 2 pi k Q/A, where k is the electrical constant and Q/A is the charge density.)

		9.62E+04 N/C
		8.02E+04 N/C
		4.01E+04 N/C
		7.22E+04 N/C

Expert Solution

Step 1

Given values,

$C h a r g e d e n s i t y = σ = 1.42 \times 10^{- 6} \frac{C}{m^{2}}$

Expression for strength of the electric field above the charge sheet is given as -

$E = \frac{σ}{2 ε o}$

Where,

$εo = Permittivity of free space = 8.85 \times 10^{- 12}$

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